Abstract

This work extends our previous work on variational asymptotic modeling of heterogeneous materials with temperature-dependent constituents experiencing finite temperature changes to deal with nonuniformly distributed loads and temperature. In this paper, we will incorporate work done by distributed loads into the Helmholtz free energy considering nonuniform temperature distribution and use the variational asymptotic method to formulate the cell problem. Then we implement the cell problem using the finite element technique into the computer code VAMUCH. The new micromechanics model and the companion code will be verified for simple examples using analytical solutions and realistic examples using the commercial finite element package ANSYS.

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