Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matrices

DOI10.1002/zamm.201800120arXiv1606.09085OpenAlexW2963964878MaRDI QIDQ6183600

Patrizio Neff, Lev A. Borisov, Andreas Fischle

Publication date: 4 January 2024

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/1606.09085

zbMATH Keywords

rotationsspecial orthogonal grouppolar decompositionsymmetric squaremicropolar mediaCosserat theoryGrioli's theoremrelaxed-polar decomposition(non-symmetric) matrix square root

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Miscellaneous inequalities involving matrices (15A45) Polar materials (74A35)

Related Items (2)

Characterization of the critical points for the shear-stretch strain energy of a Cosserat problem ⋮ Compatibility conditions of continua using Riemann–Cartan geometry

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