Bounds on overall instantaneous properties of elastic-plastic composites

DOI10.1016/0022-5096(88)90019-1zbMath0632.73052OpenAlexW2055724929MaRDI QIDQ1095715

Jan L. Teply, George J. Dvorak

Publication date: 1988

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-5096(88)90019-1

zbMATH Keywords

equilibriumoverall propertieslower boundsdisplacementinclusion problemuppercompliance matricesdiagonal termselastic-plastic composite aggregatesincremental solutionsinstantaneous stiffnessMinimum principlesordered eigenvaluesperiodic model of binary fibrous compositessmall unit cellstrain incrementsuniform overall stress

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Plastic materials, materials of stress-rate and internal-variable type (74C99)

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Cites Work

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• Solutions for effective shear properties in three phase sphere and cylinder models
• Numerical studies of void growth in a necked bar
• Elastic-plastic behavior of fibrous composites
• A continuum theory for fiber-reinforced elastic-viscoplastic composites
• On the kinematic minimum principle for the rate problem in classical plasticity
• Bounds and self-consistent estimates for the overall properties of anisotropic composites
• On numerically accurate finite element solutions in the fully plastic range
• On the overall elastic moduli of composite materials
• Plasticity Analysis of Fibrous Composites
• Bounds and self-consistent estimates for creep of polycrystalline materials
• Complementary minimum principles for an elastic-plastic material