Elastic Properties of Flexure Patterns - Characterization, Classification and Development of Design Principles by Parametric Finite Element Analyses
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A flexure pattern increases the ability of a plate to undergo large elastic deformations. It is characterized as a 2D mechanical metamaterial that consist of flexures configured in a pattern that increase the compliance compared to the bulk material of which it has been made. This work contributes to the basic understanding of flexure patterns by describing the geometry, symmetries, principle deformation mechanisms and anisotropic elastic properties, using of the computational homogenization technique. The criteria for diagonal, orthogonal, tetragonal and isogonal elasticity is categorized though the minimal symmetries found in the pattern. Various examples of auxetic (materials with negative Poisson's ratio), orthogonal and isogonal patterns are explored and the relations between geometrical parameters and elastic properties are found. A set of design principles and methods are compiled to a framework that enables creation of new patterns from a set of desired behaviors.