We describe here a new class of smart composites that respond to environmental humidity and temperature. These composites are made of shape memory epoxy and flax fibres, and change their shape because of the hygroscopic strain effects between fibres, matrix and their bilayer composite architecture. The smart biobased composites we propose here can also be programmed at different humidity and shape states via the SMP effect of the epoxy. We demonstrate the high stiffness of these smart composites but also their programmable and re-programmable characteristics, together with the large curvatures and actuation authority they can achieve.
In this paper, we develop and characterise the use of amorphous Silicon as an optically functional material in actuated devices. A novel actuator is developed which uses thin amorphous silicon film deposited on a polyimide substrate using Plasma Enhanced Chemical Vapour Deposition (PECVD). The actuator generates an active stroke via electrostatic attraction which causes the electrodes to “zip” together. The magnitude of displacement is controlled by exploiting the light-dependant resistance of an amorphous silicon (a-Si) photoreceptor integrated onto the actuator. An 8mm long actuator was prototyped and curvature changes were measured using image processing techniques to track the amorphous silicon electrode during actuation. A change of radius of 1mm was found between the ambient (22 Lux) and illuminated states (36 kLux) with an applied voltage of 5 kV.
Optically-switched composite materials based on semiconducting materials have the potential to simplify the circuitry required to control artificial muscles. This contactless control method has the potential to improve visual technologies by enabling controllable haptic and morphing interfaces. Optically-switched active displays could provide enhanced user interaction, especially for those with visual impairments. Research into morphing interfaces with dielectric elastomer actuators (DEAs) centralizes on segmented electrode architectures that can achieve large active strains in multiple degrees of freedom. However, controlling the activation of multiple electrodes typically requires an array of discrete rigid components (e.g. MOSFETs) as well as the separation of high-voltage power lines and low-voltage control signals. In this work, we develop a photo-switched DEA system that removes the need for wired control signals, reducing complexity. Photonic switching of DEA electrodes is achieved by exploiting the light-dependent resistance of a thin film of deposited amorphous silicon (a-Si). Samples with layer thicknesses of 0.84 μm have been fabricated using plasma enhanced chemical vapor deposition. Breakdown voltages of above 6kV were obtained when using a nonconducting substrate (glass). Preliminary testing of the system shows that voltage swings of up to 865V can be achieved between ambient and direct illumination, producing an out of plane actuation of 2 μm in a weight-biased DEA disc actuator. Further tuning of the electric circuit should lead to larger actuation strains. Future work will focus on the control of multiple DEA electrodes using localized light patterns as well as testing and characterizing other materials to improve the voltage swing across the DEA.
Kirigami is the ancient Japanese art of cutting and folding paper, widespread in Asia since the 17th century. Kirigami offers a broader set of geometries and topologies than classical fold/valleys Origami, because of the presence of cuts. Moreover, Kirigami can be readily applied to a large set of composite and smart 2D materials, and can be used to up-scaled productions with modular molding. We describe the manufacturing and testing of a topology of Kirigami cellular structures defined as Open Honeycombs. Open Honeycombs (OHs) can assume fully closed shape and be alike classical hexagonal centresymmetric honeycombs, or can vary their morphology by tuning the opening angle and rotational stiffness of the folds. We show the performance of experimental PEEK OHs with cable actuation and morphing shape characteristics, and the analogous morphing behavior of styrene SMPs under combined mechanical and thermal loading. We also show the dynamic (modal analysis) behavior of OHs configurations parameterized against their geometry characteristics, and the controllable modal density characteristics that one could obtain by tuning the topology and folding properties.
Flexible pressure sensors are crucial components for the next generation wearable devices to monitor human physiological conditions. In this paper, we present a novel resistive pressure sensor based on hybrid composites made from carbon nanotube (CNT) for the conductive coating layer and polydimethylsiloxane (PDMS) elastomers as the substrate. The high sensitivity of these sensors is attributed to the change of contact resistance caused by the variation of the contact areas between the wavy film and the electrodes. Porous electrodes were designed to increase the roughness of the interfaces, thus further enhancing the pressure sensitivity. The developed device was verified through a series of tests, and the sensor exhibited a high sensitivity of 2.05 kPa-1 under a low pressure of 35.6 Pa.
The understanding of wave propagation in a metamaterial with hierarchical, auxetic rectangular perforations is presented in this work. The metamaterial is a 2D structure with chaining horizontal and vertical perforations exhibiting auxetic in-plane behaviour. The unit cell of this lattice is identified as the reference level 0. Hierarchical structures are composed of structural elements which themselves have structure. At level 0, 4 rigid squares are present in the unit cell. In each square, the reference structure is used by applying a scale ratio to obtain the level 1. The same strategy is used to reach the upper level in each subunit. A geometric parametric investigation of these rectangular perforations using a numerical asymptotic homogenisation finite element approach is done. Some numerical eigenvalue tools are used for the dispersion analysis of this structure. It is first observed that the total width of Band gaps increases with the hierarchy. The porosity induced by the perforations is taken into account in the mechanical properties. The symmetry of the geometry in the x-y plane allow to define the entire geometry of the unit cell using only 2 parameters: the void aspect ratio, the intercell spacing and the hierarchy level. When decreasing the intercell spacing, the total width of Band gaps increases and the effective stiffness in x and y directions decrease, allowing for increased rotations of the rigid squares, so auxetic behaviour is greater. Hierarchical levels shift from isotropic to orthotropic, hierarchical levels are always auxetic.
A novel design for the geometric configuration of honeycombs using a seamless combination of auxetic and conventional cores-elements with negative and positive Possion ratios respectively, has been presented. The proposed design has been shown to generate a superior band gap property while retaining all major advantages of a purely conventional or purely auxetic honeycomb structure. Seamless combination ensures that joint cardinality is also retained. Several configurations involving different degree of auxeticity and different proportions auxetic and conventional elements have been analyzed. It has been shown that the preferred configurations open up wide and clean band gap at a significantly lower frequency ranges compared to their pure counterparts. In view of existence of band gaps being desired feature for the phononic applications, reported results might be appealing. Use of such design may enable superior vibration control as well. Proposed configurations can be made isovolumic and iso-weight giving designers a fairer ground of applying such configurations without significantly changing size and weight criteria.
Auxetic (negative Poisson's ratio) configurations have recently been used to build prototypes of deployable structures
using classical shape memory alloys (Nickel-Titanium-Copper). Chiral configurations, featuring three or more inter-connected
spiral-wound hubs, exploit efficient tensile-rotational mechanisms. These structures offer high deployability
ratios in structural elements with load-bearing characteristics. Shape memory polymers have the potential to replace
these shape memory alloys and other stored-energy actuators, and have the attractive properties of low mass, high
actuation strain, easy fabrication and tuneable thermal properties. In this work we discuss how shape memory polymers
(SMP) integrated into a chiral core could offer enhanced deployable characteristics and increase the efficiency of the
auxetic deformations in these unusual cellular structures. We consider the spiral-wound fundamental component needed
for SMP n-chiral prototypes and present test results showing actuation motion of expanding SMP deployable structures.
Applications likely to benefit from these structures include lightweight elements for structural engineering applications,
deployable structures for space applications and implantable medical devices.
A star-shaped biphasic composite has been characterized and successively manufactured. This particular shape could
potentially provide an enhancement in terms of strain energy dissipation when compared against classical composites
with circular inclusion. The rationale of this work is to demonstrate by means of FE analysis and successively by
dynamic testing that this topology effectively provides an increase in damping
The mechanical deformation and dynamics properties of single wall carbon nanotube heterojunctions (HJ) oscillators are investigated using an hybrid finite element atomistic-continuum approach. The nanotube HJs provide a peculiar deformation pattern, with combined bending and axial stretching of carbon nanotubes (CNTs), and a broad agreement of their axial stiffness with spring series continuum mechanics and existing molecular dynamics (MD) simulations. We show also peculiar distributions of the natural frequencies and modes of the hetero-junctions compared to classical single-wall nanotube configurations, and the mass-sensor capability of (5,5)-(10,10) SWCNT HJ structures, with frequency shifts highly depending on the heterojunction section subjected to the mass loading.
KEYWORDS: Shape memory alloys, Finite element methods, Epoxies, Aluminum, Composites, Manufacturing, Adhesives, Chemical elements, Polymers, Control systems
SMA honeycombs have been recently developed by several Authors [1, 2] as innovative cellular structures with selfhealing
capability following mechanical indentation, unusual deformation (negative Poisson's ratio [3]), and possible
enhanced damping capacity due to the natural vibration dissipation characteristics of SMAs under pseudoelastic and
superelastic regime. In this work we describe the nonlinear damping effects of novel shape memory alloy honeycomb
assemblies subjected to combine mechanical sinusoidal and thermal loading. The SMA honeycomb structures made with
Ni48Ti46Cu6 are designed with single and two-phase polymeric components (epoxy), to enhance the damping characteristics of the base SMA for broadband frequency vibration.
Graphene nanoribbons (GNRs) are novel interesting nanostructures for the electronics industry, whereas their state as metallic or semiconductor material depends on the chirality of the graphene. We model the natural frequencies and the wave propagation characteristics of GNRs using an equivalent atomistic-continuum FE model previously developed by some of the Authors, where the C-C bonds thickness and average equilibrium lengths during the dynamic loading are identified through the minimisation of the system Hamiltonian. A molecular mechanics model based on the UFF potential is used to benchmark the hybrid FE models developed. The wave dispersion characteristics of the GNRs are simulated using a Floquet-based wave technique used to predict the pass-stop bands of periodic structures. We demonstrate that the thickness and equilibrium lengths for the different dynamic cases are different from the classical constant values used in open literature (0.34 nm for thickness and 0.142 nm for equilibrium length), in particular when considering out-of-plane flexural deformations. These parameters have to be taken into account when nanoribbons are designed as nano-oscillators.
Novel tetrachiral honeycomb structures are evaluated for the first time from the vibroacoustic point of view. A
numerical method based on Bloch wave approximations for Finite Element models of the unit cells is applied to
simulate the pass-stop band characteristics of these cellular solids. Experimental modal analysis and modal densities are
measured on honeycomb panels and sandwich plate, and the results evaluated with the experimental findings. The novel
tetrachiral honeycombs show pass-stop band characteristics with isotropic acoustic signature, while sandwich structures
made with the same honeycomb cores have the interesting feature of presenting a high-pass frequency behavior on the
same pass-stop bands of the honeycomb.
KEYWORDS: Microsoft Foundation Class Library, Sensors, Structural health monitoring, Manufacturing, Fused deposition modeling, Rapid manufacturing, Prototyping, Acoustics, Actuators, Composites
A chiral honeycomb configuration is developed with embedded piezosensors and actuators for smart sandwich panel
applications. The chiral honeycomb concept is made of repeating units of cylinders and plates (ligaments), featuring an
in-plane negative Poisson's ratio. Rapid Prototyping vacuum-cast and FDM (Fusion Deposition Moulding) techniques
are developed to embed micro fibres composites to be used for potential structural health monitoring (SHM)
applications, and microwave absorption screens for electromagnetic compatibility. Finite Element models are also
developed to prototype and simulate the response, sensing and actuation capability of the honeycombs for design purposes. Dynamic tests using scanning laser vibrometers and acoustic wave propagation are carried out to assess the feasibility of the concept.
Lamb wave propagation is evaluated for cross-ply laminate composites exhibiting through-the-thickness negative
Poisson's ratio. The laminates are mechanically modeled using the Classical Laminate Theory, while the propagation of
Lamb waves is investigated using a combination of semi analytical models and Finite Element time-stepping
techniques. The auxetic laminates exhibit well spaced bending, shear and symmetric fundamental modes, while
featuring normal stresses for A0 mode 3 times lower than composite laminates with positive Poisson's ratio.
Shape memory alloy honeycombs are constitute a novel set of cellular structures developed by the authors using initially centersymmetric honeycomb configurations (hexagonal ones), and pseudo-plastic Nitinol ribbons as core. Chiral honeycomb structures feature a noncentresymmetric unit cell configuration, with rotational symmetry only and in-plane Poisson's ratio equal to -1. Nonlinear unit cell FE models of these chiral honeycombs have been developed using the formulation proposed by Auricchio et al. related to pseudo-elastic and superelastic SMA materials. The numerical results are compared with experimental ones from tensile tests of chiral honeycomb samples subjected to uniaxial tensile loading at full martensite phase, and analytical results from the model proposed by Prall and Lakes on hexachiral configurations. A working prototype of a deployable antenna made out hexachiiral cells with 1-way SMA ribbon is also described.
A novel set of auxetic (negative Poisson's ratio) open cell polyurethane foam has been developed and tested under dynamic loading conditions to assess the viscoelastic response under white noise random excitation and compressive cycling. Foam pads normalized to standard ISO 13753 have been tested at room temperature and frequency bandwidth 10-500 Hz to assess transmissibility characteristics for possible antivibration glove applications. The results show that the ISO 13753 normalized transmissibility for these foams falls below 0.6 above 100 Hz, with lower peak maximum stresses under indentation compared to conventional open cell solids. These results suggest possible use of the auxetic foam for pads or linens against "white fingers" vibration applications. Further tests have been conducted on cyclic compressive loading up to 3 Hz and loading ratios of 0.95 for loading histories up to 100000 cycles. The damping capacity of the auxetic foams showed and increase by a factor 10 compared to the conventional foams used to manufacture the negative Poisson's ratio ones, and stiffness degradation stabilized after few tens on cycles.
Periodic cellular configurations with negative Poisson's ratio have attracted the attention of several researchers because of their superior dynamic characteristics. Among the geometries featuring a negative Poisson's ratio, the chiral topology possesses a geometric complexity that guarantees unique deformed configurations when excited at one of its natural frequencies. Specifically, localized deformations have been observed even at relatively low excitation frequencies. This is of particular importance as resonance can be exploited to minimize the power required for the appearance of localized deformations, thus giving practicality to the concept. The particular nature of these deformed configurations and the authority provided by the chiral geometry, suggest the application of the proposed structural configuration for the design of innovative lifting bodies, such as helicopter rotor blades or airplane wings. The dynamic characteristics of chiral structures are here investigated through a numerical model and experimental investigations. The numerical formulation uses dynamic shape functions to accurately describe the behavior of the considered structural assembly over a wide frequency range. The model is used to predict frequency response functions, and to investigate the occurrence of localized deformations. Experimental tests are also performed to demonstrate the accuracy of the model and to illustrate the peculiarities of the behavior of the considered chiral structures.
In this work we describe the vibroacoustic behavior of a novel concept of core for sandwich structures featuring auxetic characteristics, enhanced shear stiffness and compressive strength compared to classical cellular cores in sandwich components for sandwich applications. The out-plane properties and density values are described in terms of geometric parameters of the honeycomb unit cells. Opposite to classical honeycomb cellular applications, the hexagonal chiral structure presents a noncentresymemetric configuration, i.e., a "mirror" symmetrical topology. The derived mechanical properties are used to assess the modal behaviour and modal densities of sandwich plate elements with chiral and standard cellular cores. The analytical findings are backed up by structural tests on chiral honeycomb plates and sandwich beams.
The paper describes new concepts of flexible polyurethane auxetic (negative Poisson’s ratio) foams with embedded carbonyl dispersions. Compared to conventional flexible PU foams, this type of cellular solid exhibit higher compliance under impact loading and increased dielectric loss factors in the X-band between 12 and 18 GHz. Results from mechanical tensile tests and rectangular wave guide experiments are shown and discussed in view of possible applications on sandwich structures typical of Salisbury screens or microwave absorbers.
A complex modulus approach typical of viscoelastic materials is used to linearize the equation of motions of a combined beam-rod SMA pseudoelastic element and use a Spectral Finite Element formulation to study the dynamic behavior in the frequency domain. The complex modulus approach allows using viscoelastic SFE formulations presented in literature and adapt them to Ni-Ti alloy elements with different tensile pre-strain levels. The dispersion relations of Love rod and Euler-Bernoulli beams are discussed in view of the use of the experimental available complex modulus curves of the materials. As a demonstration of the use of the SFE technique, a cantilever beam loaded with a tip force is then modeled with a single Spectral Element, with increased accuracy of lower number of linear FE elements per unit wavelength.
This work illustrates the design, manufacturing and tensile testing of a novel concept of honeycomb structure made of shape memory alloy (SMA) core material. The honeycomb is manufactured using SMA Nitinol ribbons inserted in a special dye and using cyanoacrilate to bond the longitudinal strips of the unit cells. Analytical and Numerical FE models of the ribbons are developed to predict the homogenized properties and the overall tensile test behavior of the honeycomb sample. Good agreement is observed between numerical nonlinear simulations and experimental results carried out at room temperature (martensite phase).
The paper describes a finite element based technique to model the propagation of elastic waves in cellular periodic structures. The technique can be applied to predict the dynamic response of repetitive structural assemblies, such as honeycombs, network grids part of deployable antennas and space trusses. In the proposed method, the unit cell of the structure is modeled using conventional elements available in commercial finite element codes. The cell finite element model is then duplicated to obtain a representation of real and imaginary fields of the propagating wave. Instead of imposing the Bloch wave conditions using complex number relations between cell edge nodes, a set of equivalent real equations is established as constraint relations to couple real and imaginary domains. This approach is effective and flexible as it can be easily implemented into the meta-parametric languages of commercial finite element codes. Existing Lanczos routines can be used to calculate the phase constant surfaces, the modes of the repeating cells as well as the structure's harmonic response.
KEYWORDS: Solids, Mahalanobis distance, Finite element methods, Manufacturing, Signal detection, Statistical modeling, Data modeling, Performance modeling, 3D modeling, Aerospace engineering
This paper presents a Novelty-based detection technique to identify core material properties of honeycombs and cellular structures. A numerical model (FE) representing full scale and/or reduced size of the cellular solid is used to generate transmissibilities between topological points at cells in different locations, with a statistical Gaussian distribution of the core material property target variable. The numerical set of transmissibilities is then used in a Novelty detection framework to find Euclidean and Mahalanobis distances from analogous data from a point excitation experimental test carried out with SLV.
This paper presents an experimental investigation on the acoustic properties of a novel concept of auxetic (Negative Poisson's ratio) open cell polyurethane gray foam for dynamic crash loading applications. The acoustic absorption coefficients and real and imaginary part of the specific acoustic impedance have been measured with an ASTM standard impedance tube using a transmissibility technique. The foam shows a significant increase of the absorption properties in the low frequency range compared to equivalent conventional open cell foams. The acoustic properties of the foams are identified using an empirical model to describe their structural characteristic.
In this work a combined analysis of the out-of-plane mechanical and dielectric properties of auxetic re-entrant honeycombs is performed. Experimental and numerical simulations are carried out to evaluate the correlation between the anisotropicity of the transverse mechanical properties (shear and compressive modulus) and the permittivity tensor of general and auxetic (Negative Poisson's ratio) honeycombs. Different numerical and experimental techniques have been applied to obtain the mechanical and dielectric properties of general and auxetic honeycombs versus the core material and unit cell geometry parameters. The results are evaluated to assess the feasibility of this kind of cellular solid for electromagnetic screen applications with high structural integrity performance.
In this paper different numerical techniques are suggested to improve the prediction of natural frequencies and modal loss factors of structures with viscoelastic damping. The suggested methods involve the use of classical Finite Element mass and stiffness matrices and the knowledge of the undamped modal basis of the system. One technique is based is based on a dyadic matrix perturbation approach that gives control over the approximation sought for the natural frequencies and modal loss factors. Unlike other perturbation techniques, the proposed method does not involve the solution of linear system equations. Two other methods suggested involve IRS techniques that use either static or low frequency reduction with weighted damping to condense the full complex eigenvalue system into a real one. During the solution spurious modes are eliminated via a modified Modal Assurance Criteria. All the proposed methods give good approximations of the exact complex solutions without the need for a complex eigensolver and therefore can be used with existing eigensolution routines available in commercial FE codes.
KEYWORDS: Wave propagation, Finite element methods, Signal attenuation, Wave plates, Vibration control, Control systems, Composites, Radio propagation, Solids, Motion analysis
The wave propagation in and the vibration of sandwich plates with cellular core are analyzed and controlled. Negative Poisson's ratio (auxetic) core materials of different geometry placed periodically in the plate introduce the proper impedance mismatch necessary to obstruct the propagation of waves over specified frequency bands (stop bands) and in particular directions. The location and the extension of the stop bands and the directions of wave propagation can be modified by proper selection of the periodicity and of the geometrical and physical properties of the core. A Finite Element model is developed to predict the dynamic response of three-layered sandwich panels with honeycomb core. The Finite Element model along with the theory of periodic structures is used to evaluate the influence of core materials of different geometry placed periodically along the two dimensions of the structure. This combined analysis yields the phase constant surfaces for the considered sandwich plates, which define location and extension of the stop bands, as well as the directions of wave propagation at assigned frequency values. The analysis of the phase constant surfaces and the evaluation of the harmonic response at specified frequencies indicate that the plates are characterized by dynamic behaviors with directional properties, with spatial patterns strongly dependent on the configuration of the periodic core and on the excitation frequency. Auxetic honeycombs are considered as core materials in order to obtain maximum design flexibility. The elastic and inertial characteristics of auxetic honeycombs in fact vary substantially with their internal geometry and for given configurations outcast up to five times the corresponding properties of traditional hexagonal honeycombs. The presented numerical results demonstrate the unique characteristics of this class of two-dimensional periodic structures, which behave as directional mechanical filters. The findings of this study suggest that optimal configurations for the periodic cellular core can be identified in order to design passive composite panels, which are stable and quiet over desired frequency bands and which fit desired transmissibility levels in particular directions. Such unique filtering capabilities are achieved without requiring additional passive or active control devices and therefore without compromising the size and the weight of the layered structure.
Cellular structures like honeycombs or reticulated micro-frames are widely used in sandwich construction because of their superior structural static and dynamic properties. Aim of this study is to evaluate the dynamic behavior of bi-dimensional cellular structures, with focus on the effect of the geometry of the unit cell composing the solid on the dynamics of the propagation of elastic waves within the structure. The characteristics of wave propagation for the considered class of cellular solids are analyzed through the Finite Element model of the unit cell and the application of the theory of periodic structures. This combined analysis yields the phase constant surfaces, which define the directions of wave propagation in the plane of the structure for assigned frequency values. The analysis of iso-frequency contour lines in the phase constant surfaces allows predicting the location and extension of angular ranges, and therefore regions within the structures, where waves do not propagate. The performance of honeycomb grids of regular hexagonal topology is compared with that of grids of various geometries, with emphasis on configurations featuring a negative Poisson's ratio behavior. The harmonic response of the considered structures at specified frequencies confirms the predictions from the analysis of the phase constant surfaces and demonstrates the strongly spatial dependent characteristics of periodic cellular structures. The presented numerical results indicate the potentials of the phase constant surfaces as tools for the evaluation of the wave propagation characteristics of this class of two-dimensional periodic structures. Optimal design configurations can be identified in order to achieve desired transmissibility levels in specified directions and to obtain efficient vibration isolation capabilities. The findings from the presented investigations and the described analysis methodology will provide invaluable guidelines for the prototyping of future concepts of honeycombs or cellular structures with enhanced vibro-acoustics performance.
KEYWORDS: Wave propagation, Solids, Finite element methods, Beam propagation method, Chemical elements, Signal attenuation, Composites, Solid modeling, Mechanical engineering, Control systems
The wave propagation in sandwich beams with cellular core is analyzed and controlled. The material properties of cellular cores are highly dependent on the geometry of the cell composing the honeycomb structure. Core materials of different geometry placed periodically along the beam length introduce the proper impedance mismatch necessary to impede the propagation of waves along the beam. A Spectral Finite Element model is developed to describe the wave propagation characteristics and the vibration of the sandwich beam. The model uses dynamic shape functions obtained from the solution of the corresponding distributed parameter model and thus allows for predicting the dynamic behavior of the structure with a significantly reduced number of elements as compared with the conventional FEM. The model is used to derive the transfer matrix of the sandwich beam, which identifies the location of the frequency bands where traveling waves are attenuated. The influence of core geometry and periodicity on the location and extension of these stop bands is assessed through a series of simulations. The effect of the periodicity of the structure is also evaluated by considering the vibration response of a clamped free beam excited by the harmonic motion of the base. The results demonstrate the simplicity and the effectiveness of the proposed treatment whereby the transmission waves and the vibration over specified frequency bands can be significantly reduced without requiring additional passive or active control devices. The unique characteristics of cellular solids therefore can be used to design light-weight composite panels that behave as mechanical filters. The filtering capabilities of such passive composite panels may be easily changed and optimized to reduce their transmissibility over a desired frequency range without compromising the size and the weight of the structure.
Auxetic (negative Poisson's ratio) cellular materials expand in all direction when pulled in only one, thus behaving in an unusual manner compared to 'classical' materials. Negative Poisson's ratio honeycombs and open cell foams have shown increased shear modulus, indentation resistance and low cut- off frequency acoustic properties. In this paper FEM microstructure models are used to compute the static and viscoelastic properties of closed-cell and two-phase foam composites. The complex modulus of the materials is calculated making use of the correspondence principal and evaluating the strain energy distributions for the different phases. The results are compared to the ones given by models representing a global in-plane uniaxial loading. The static and storage modulus values of two-phase composite foam are significantly enhanced by the presence of a re-entrant (auxetic) skeleton layout. The loss factor shows also a significant sensitivity on the volume fraction and strain energy distribution on the microstructure unit cells. Static and free-vibration simulations on sandwich beams with different core cellular materials show that it is possible to obtain both enhanced stiffness per unit weight values and modal loss factors using two-phase cellular solids with a re-entrant skeleton.
KEYWORDS: Finite element methods, Polymers, Foam, Resistance, Chemical elements, Absorption, Tolerancing, Homogenization, Photography, Commercial off the shelf technology
In this paper a theoretical and numerical study on the viscoelastic behavior of auxetic polymers and cellular materials is presented. Negative Poisson's ratio materials ((alpha) (upsilon) (eta) (xi) (epsilon) (omicron) (sigma) in Greek) expand in all directions when pulled in only one, and contract when compressed in one direction. This behavior is due to the special geometrical layout of their unit cells. A theoretical model including viscoelastic and inertia effects on the unit cell has been prepared in order to compute the equivalent in- plane dynamic storage modulus and loss factor of the cellular material. The calculations show how inertia effects and geometric layout of the unit cell affect the viscoelastic behavior of the material over the frequency domain. The results show a very good agreement with the ones from analogous FEM models. Auxetic honeycombs are a good example of cellular materials with negative Poisson's ratio behavior. A Finite Element model has been elaborated to model also the viscoelastic response of the transverse shear modulus of this kind of honeycombs and compared with analytical results.
In this paper a novel class of core material for sandwich structures is analyzed from an analytical and numerical point of view. Honeycombs with re-entrant cell geometry present negative in-plane Poisson's ratio coefficients, with an increase of bending stiffness compared to the one of hexagonal honeycomb cores. Due to the orthotropic mechanical properties of this kind of core material it is possible to employ the formulations of laminated orthotropic plates in order to describe the vibroacoustic behavior of simply supported sandwich plates. The natural frequencies of these laminates are sensitive to the geometrical parameters of the core cells. As an example application, an infinite cylindrical sandwich shell in contact with exterior and interior fluid flow is examined. An improvement of transmission loss factors is observed, suggesting a possible use of these cores in acoustic insulation. Damping properties are modeled taking into account the complex modulus of the core material. Two models are examined, one with full viscoelastic core and the other with a free-layer symmetrical beam geometry in order to describe the walls of the core cells. Both cases show a significant increase of the storage moduli of the cores compared to the ones of a regular honeycomb.
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