Benchmarking effective moduli in porous elastoplastic materialsстатья
Статья опубликована в высокорейтинговом журнале
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 1 октября 2025 г.
Аннотация:Predicting the mechanical behavior of porous elastoplastic materials under stress is critical in fields such as geomechanics, energy storage, and impact engineering. However, most existing analytical models are limited to linear elastic or viscous matrices and fail to capture the effects of plastic yielding and shear loading. In this study, we derive new closed-form expressions for the effective shear modulus of porous elastoplastic solids, extending prior work on effective bulk modulus under non-hydrostatic loading. We show that plastic yielding leads to a coupling between shear and volumetric responses - specifically, a dependence of the effective bulk modulus on shear stress and of the shear modulus on mean pressure. This coupling results in shear-enhanced compaction and stress-induced anisotropy in initially isotropic materials. The analytical solutions for the effective bulk and shear moduli are benchmarked against high-resolution numerical simulations of representative volume elements containing multiple interacting voids. Results demonstrate that the model remains accurate even at porosities up to 20 %, well beyond its formal assumptions. These findings provide a physically grounded, computationally efficient approach to capturing key nonlinear effects in porous elastoplastic media.