Origami mechanical metamaterials based on the Miura-derivative fold patterns

This paper presents two new types of origami-inspired mechanical metamaterials based on the Miura-derivative fold patterns that consist of non-identical parallelogram facets. The analytical models to predict dimension changes and deformation kinematics of the proposed metamaterials are developed. Furthermore, by modelling the creases as revolute hinges with certain rotational spring constants, we derived analytical models for stretching and bulk moduli. The analytical models are validated through finite-element simulation results. Numerical examples reveal that the proposed metamaterials possess some intriguing properties, including negative Poisson's ratios and bulk modulus. The work presented in this paper can provide a highly flexible framework for the design of versatile tunable mechanical metamaterials.