A non-concurrent multiscale method for computing the response of hyperelastic heterogeneous structures
DOI:
https://doi.org/10.13052/EJCM.19.105-116Keywords:
nonlinear homogenization, composites, multiscale methods, method of numerically explicit potentialsAbstract
We propose a new numerical method for computing the response of structures made of heterogeneous nonlinear elastic materials. The first step is to define a representative volume element (r.v.e.) associated to the microstructure. Then, the effective potential, or the overall strain density function, is computed numerically for a finite set of points in the macroscopic strains space. In the computation of structure, stress and tangent stiffness tensors can be obtained through interpolation and derivation in the discrete set of potential values. Material properties contrast, anisotropy and morphology of microstructure are arbitrary.
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