{"title":"Benchmarking effective moduli in porous elastoplastic materials","authors":"M․ Ya. Yakovlev , V.M. Yarushina , I.D. Bystrov , L.S. Nikitin , Yu․ Yu. Podladchikov","doi":"10.1016/j.ijmecsci.2025.110854","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"306 ","pages":"Article 110854"},"PeriodicalIF":9.4000,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mechanical Sciences","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020740325009361","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
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.
期刊介绍:
The International Journal of Mechanical Sciences (IJMS) serves as a global platform for the publication and dissemination of original research that contributes to a deeper scientific understanding of the fundamental disciplines within mechanical, civil, and material engineering.
The primary focus of IJMS is to showcase innovative and ground-breaking work that utilizes analytical and computational modeling techniques, such as Finite Element Method (FEM), Boundary Element Method (BEM), and mesh-free methods, among others. These modeling methods are applied to diverse fields including rigid-body mechanics (e.g., dynamics, vibration, stability), structural mechanics, metal forming, advanced materials (e.g., metals, composites, cellular, smart) behavior and applications, impact mechanics, strain localization, and other nonlinear effects (e.g., large deflections, plasticity, fracture).
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In summary, IJMS provides a prestigious platform for researchers to present their original contributions, shedding light on analytical and computational modeling methods in various areas of mechanical engineering, as well as exploring the behavior and application of advanced materials, fluid mechanics, thermodynamics, and materials processing.