On the definitions of effective stress and deformation gradient for use in MD: Hill's macro-homogeneity and the virial theorem

DOI10.1016/j.ijengsci.2004.12.002zbMath1211.74181OpenAlexW2046068081MaRDI QIDQ534106

Yong-Cai Geng, Sumit K. Garg

Publication date: 17 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2004.12.002

zbMATH Keywords

effective stressnonlinear homogenizationeffective strain

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Homogenization in equilibrium problems of solid mechanics (74Q05) Stress (74A10)

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Cites Work

• Macroscopic rate-variables in solids undergoing phase transformation.
• An introduction to continuum mechanics
• Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
• A discrete model for the prediction of subsequent yield surfaces in polycrystalline plasticity
• A new look at the atomic level virial stress: on continuum-molecular system equivalence
• On macroscopic effects of heterogeneity in elastoplastic media at finite strain
• Variational and Related Methods for the Overall Properties of Composites
• The Thermomechanics of Plasticity and Fracture
• On constitutive macro-variables for heterogeneous solids at finite strain
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