The application of origami-inspired designs to engineered structures and materials has been a subject of much research
efforts. These structures and materials, whose mechanical properties are directly related to the geometry of folding,
are capable of achieving a host of unique adaptive functions. In this study, we investigate a three-dimensional multistability
and variable stiffness function of a cellular solid based on the Miura-Ori folding pattern. The unit cell of such
a solid, consisting of two stacked Miura-Ori sheets, can be elastically bistable due to the nonlinear relationship between
rigid-folding deformation and crease material bending. Such a bistability possesses an unorthodox property:
the critical, unstable configuration lies on the same side of two stable ones, so that two different force-deformation
curves co-exist within the same range of deformation. By exploiting such unique stability properties, we can achieve
a programmable stiffness change between the two elastically stable states, and the stiffness differences can be prescribed
by tailoring the crease patterns of the cell. This paper presents a comprehensive parametric study revealing
the correlations between such variable stiffness and various design parameters. The unique properties stemming from
the bistability and design of such a unit cell can be advanced further by assembling them into a solid which can be
capable of shape morphing and programmable mechanical properties.
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