Rotations, stress rates and strain measures in homogeneous deformation processes

DOI10.1016/0020-7683(84)90089-1zbMath0564.73049OpenAlexW2015920796MaRDI QIDQ1058347

J. Blot

Publication date: 1984

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(84)90089-1

zbMATH Keywords

logarithmic strainobjective stress ratesappropriate strain measuredeformation gradient tensor is unsymmetricdistinction between homogeneous and pure homogeneous deformationeffect of stress rate on the evolution of stresseshomogeneous processeshypoelastic solidmaterial derivative equals the rate of deformation tensormaterial rotationno triad which remains orthogonalorthogonal triadpolar decomposition theoremremain orthogonal throughout the deformationsimple (rectilinear) shear

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Theory of constitutive functions in solid mechanics (74A20)

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