Two-scale continuum equations are derived for heterogeneous continua with full nonlinear electromechanical coupling using nonlinear mathematical homogenization theory. The resulting coarse-scale electromechanical continuum equations are free of coarse-scale constitutive equations. The unit cell (or Representative Volume Element) is subjected to the overall mechanical and electric fields extracted from the solution of the coarse-scale problem and is solved for arbitrary constitutive equations of fine-scale constituents. The proposed method can be applied ...
A two-scale approach based on eigendeformation-based homogenization is explored to predict the behavior of concrete targets subjected to impact loading by high speed projectiles. The method allows accounting for micromechanical features of concrete at a computational cost comparable to single scale phenomenological models of concrete. The inelastic behavior of concrete is modeled using three types of eigenstrains. The eigenstrains in the mortar phase include pore compaction (or lock-in), rate-dependent damage ...
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