Computational Homogenization of Architectured Materials

Architectured materials involve geometrically engineered distributions of microstructural phases at a scale comparable to the scale of the component, thus calling for new models in order to determine the effective properties of materials. The present chapter aims at providing such models, in the case of mechanical properties. As a matter of fact, one engineering challenge is to predict the effective properties of such materials; computational homogenization using finite element analysis is a powerful tool to do so. Homogenized behavior of architectured materials can thus be used in large structural computations, hence enabling the dissemination of architectured materials in the industry. Furthermore, computational homogenization is the basis for computational topology optimization which will give rise to the next generation of architectured materials. This chapter covers the computational homogenization of periodic architectured materials in elasticity and plasticity, as well as the homogenization and representativity of random architectured materials

Design of auxetic microstructures using topology optimization

Abstract: Microstructures can lead to homogeneous materials with negative Poisson's ratio, the so-called auxetics. An automatic way to create such microstructures is provided by topology optimization for compliant mechanisms. Nonconvexity is addressed by a suitable hybrid algorithm, based on differential evolution. This technique is demonstrated in the present paper with numerical examples. Keywords: Auxetic materials, homogenization, topology optimization 1 Microstructure, homogenized behaviour and auxetics The microstructure influences the homogenized overal behaviour of a material. The link is provided and studied by the theory of homogenization. In elasticity, Poisson's ratio measures the change of length (deformation) of an elastic material in the perpendicular to the loading direction. Materials with negative Poisson's ratio are characterized as auxetic materials, from the greek word 'afxetos', meaning the one that increases its shape or size Topology optimization of structures and compliant mechanisms A quite general structural optimization problem was formulated as an optimal material distribution problem inside a given design domain by, among the first, in Bendsoeand Kikuchi (1988). This way the form and the structural system of the resulting optimal structure does not depend on the initial choise, i.e. the experienc

Optimal structural and mechanism design using topology optimization

Μη διαθέσιμη περίληψηNot available summarizationΠαρουσιάστηκε στο: International Conference on Modeling and Simulatio