Elastoplasticity of auxetic materials

• Published in: Computational materials science Vol. 64; pp. 57 - 61
• Main Authors: Dirrenberger, J., Forest, S., Jeulin, D.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Amsterdam Elsevier B.V 01.11.2012; Elsevier
• Subjects: Anisotropic compressible plasticity; Anisotropy; Architectured materials; Auxetics; Cellular; Compressibility; Computer simulation; Elastoplasticity; Engineering Sciences; Exact sciences and technology; Finite element method; Fundamental areas of phenomenology (including applications); Homogenization; Inelasticity (thermoplasticity, viscoplasticity...); Materials; Mathematical models; Negative Poisson’s ratio; Periodic boundary conditions; Physics; Plasticity; Solid mechanics; Structural and continuum mechanics; Weight reduction; Finite element method; Auxetics; Architectured materials; Homogenization; Negative Poisson’s ratio; Periodic boundary conditions; Anisotropic compressible plasticity; Shear modulus; Negative Poisson's ratio; Yield criterion; Boundary condition; Modeling; Parametric method; Elastoplasticity; Anisotropy; Poisson ratio; Chirality; Auxetic material; Yield strength; Non linear effect; Microstructure
• ISSN: 0927-0256; 1879-0801
• DOI: 10.1016/j.commatsci.2012.03.036

► Elastoplasticity of an auxetic material is investigated. ► Homogenization is done using finite elements using periodic boundary conditions. ► The auxetic effect persists and becomes stronger with plastic yielding. ► Plastic anisotropy weakens with plastic saturation. ► A macroscopic anisotropic compressible plasticity model is developed. Materials exhibiting a negative Poisson’s ratio (auxetics) have drawn attention for the past two decades, especially in the field of lightweight composite structures and cellular media. Studies have shown that auxeticity may result in higher shear modulus, indentation toughness and acoustic damping. Although elastic properties of such materials have been extensively investigated, the effect of plasticity on auxetic behavior has not been discussed. In particular, does the auxetic character of the material remain while entering the plastic domain? The present work aims at modeling the nonlinear mechanical response of auxetics. Full-field simulations are performed using the finite element method with periodic boundary conditions. Macroscopic modeling of auxetics is attempted using an anisotropic compressible plasticity framework.