The geometrically nonlinear Cosserat micropolar shear–stretch energy. Part II: Non‐classical energy‐minimizing microrotations in 3D and their computational validation***

DOI10.1002/zamm.201600030arXiv1509.06236OpenAlexW2963615906MaRDI QIDQ6066710

Andreas Fischle, Patrizio Neff

Publication date: 13 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06236

zbMATH Keywords

rotationsLagrange multiplierequality constraintsquaternionspolar decompositionmicropolarCosseratCosserat couple modulusGrioli's theoremnon-symmetric stretchpolar media

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Matrix equations and identities (15A24) Analysis on real and complex Lie groups (22E30) Polar materials (74A35) Nonsimple materials (74A30) Explicit solutions of equilibrium problems in solid mechanics (74G05) Analysis of microstructure in solids (74N15)

Related Items

The relaxed-polar mechanism of locally optimal Cosserat rotations for an idealized nanoindentation and comparison with 3D-EBSD experiments, Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matrices, Characterization of the critical points for the shear-stretch strain energy of a Cosserat problem

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