The relaxed-polar mechanism of locally optimal Cosserat rotations for an idealized nanoindentation and comparison with 3D-EBSD experiments

DOI10.1007/s00033-017-0834-4zbMath1392.74009arXiv1603.06633OpenAlexW2304889065MaRDI QIDQ1684441

Patrizio Neff, Andreas Fischle, Dierk Raabe

Publication date: 8 December 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06633

zbMATH Keywords

rotationsnanoindentationmicropolarCosseratCosserat couple modulus3D-EBSDcounter-rotationsGrioli's theoremnon-symmetric stretchrelaxed-polar mechanism

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Crystalline structure (74E15) Energy minimization in equilibrium problems in solid mechanics (74G65) Statistical mechanics of crystals (82D25) Polar materials (74A35) Nonsimple materials (74A30)

Related Items

Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformations, Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matrices, Explicit Global Minimization of the Symmetrized Euclidean Distance by a Characterization of Real Matrices with Symmetric Square, Characterization of the critical points for the shear-stretch strain energy of a Cosserat problem

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