Finite element modelling of exponentially graded composites with microstructure

Composite material properties are dependent on their microstructure. To adequately model these microstructural effects, a formulation of elasticity that accounts for effects must be considered. Size-dependent behaviour is an inherent property such materials, resulting in need non-classical continuum theories adequate characterization. A three-dimensional exponentially graded composite with developed under the framework Cosserat elasticity. The mixed boundary value problem formulated and solved through finite element method, implemented commercial software Abaqus two user elements. Recovery classical limit Dirichlet discussed as initial validation until complete experimental measurements can conducted.