The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part I: A general parameter reduction formula and energy-minimizing microrotations in 2D-Reference-Cited by-同舟云学术

The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part I: A general parameter reduction formula and energy-minimizing microrotations in 2D

Published:2017-01-24 Issue:7 Volume:97 Page:828-842
ISSN:0044-2267
Container-title:ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
language:en
Short-container-title:Z. Angew. Math. Mech.

Author:

Fischle Andreas¹^ORCID,Neff Patrizio²

Affiliation:

1. Institut für Numerische Mathematik; TU Dresden, Zellescher Weg 12-14; 01069 Dresden Germany

2. Head of Lehrstuhl für Nichtlineare Analysis und Modellierung; Fakultät für Mathematik, Universität Duisburg-Essen; Thea-Leymann Str. 9 45127 Essen Germany

Funder

Deutsche Forschungsgemeinschaft

Publisher

Wiley

Subject

Applied Mathematics,Computational Mechanics

Reference29 articles.

1. Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations;Bîrsan;Math. Mech. Solids,2013

2. Soliton-like solutions based on geometrically nonlinear Cosserat micropolar elasticity;Boehmer;Wave Motion,2016

3. Direct determination of the rotation in the polar decomposition of the deformation gradient by maximizing a Rayleigh quotient;Bouby;ZAMM - Z. Angew. Math. Mech.,2005

4. The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part II: Non-classical energy-minimizing microrotations in 3D and their experimental validation;Fischle;ZAMM - Z. Angew. Math. Mech.,2017

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Micropolar Elasticity in Physically-Based Animation;Proceedings of the ACM on Computer Graphics and Interactive Techniques;2023-08-16

2. Simple shear in nonlinear Cosserat micropolar elasticity: Existence of minimizers, numerical simulations, and occurrence of microstructure;Mathematics and Mechanics of Solids;2022-09-19

3. The Isotropic Cosserat Shell Model Including Terms up to $O(h^{5})$. Part I: Derivation in Matrix Notation;Journal of Elasticity;2020-10-07

4. Characterization of the critical points for the shear-stretch strain energy of a Cosserat problem;Zeitschrift für angewandte Mathematik und Physik;2020-03-19

5. Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matrices;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2019-04-03