Abstract
This article presents a new numerical model for the analysis of structures of heterogeneous materials with linear viscoelastic constituents. The model is based on the recently developed parametric finite-volume theory that has produced a paradigm shift in the finite-volume theory's development. This parametric formulation is here extended to model linear viscoelastic behavior. The present model employs the state variables approach for the computation of the time-dependent strains. Several examples, including both homogeneous and heterogeneous situations, are analyzed. Comparison between the numerical and analytical results shows the excellent performance of the proposed model.
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