The relationship between damage variables and their evolution laws and microstructural and physical properties

DOI10.1098/rspa.1998.0217zbMath0948.74003OpenAlexW2015823949MaRDI QIDQ4223971

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Publication date: 13 March 2000

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1998.0217

zbMATH Keywords

orientation distribution functionmaterial representative volume elementabsolutely convergent Fourier seriesevolution lawelastic modulipoint grouppiezoelectric moduligeneral representationsmicrostructure defectsnonlinear elastic compliance energytensor identification

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Micromechanical theories (74A60) Theories of fracture and damage (74A45)

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Modeling of large plastic deformation in crystalline polymers. ⋮ Micromechanics based framework with second-order damage tensors ⋮ An approximate scheme for considering effects of microcrack interaction on the overall constitutive relation of brittle solids under complex loading

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