Gittel / Guenther Remarks about a Constructive Method in Nonlinear Elasticity

1. Auflage 2021
ISBN: 978-3-7776-2828-8
Verlag: S. Hirzel
Format: PDF
Kopierschutz: Wasserzeichen (»Systemvoraussetzungen)

E-Book, Deutsch, Band 66.4, 27 Seiten, E-Book-Text

Reihe: Abhandlungen der Sächsischen Akademie der Wissenschaften zu Leipzig. Mathematisch - naturwissenschaftliche Klasse

The paper deals with an incremental method for solving the equilibrium conditions in nonlinear elasticity which was introduced by H. Beckert in 1975. Here, the alteration rate of some stress tensor is prescribed by supplementary stresses. This yields an expression for a locally defined elastic energy and the total energy can be minimized. Hence, the considered method is in the sense of minimizing movements. The authors analyze some of its properties, derive a local existence result in a simplified way, and prove the convergence of an approximation scheme.

This publication is distributed under the terms of the Creative Commons Attribution
CC-BY-NC-ND.

Autoren/Hrsg.

Gittel, Hans-Peter

Guenther, Matthias

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Elastizität, Plastizität, Rheologie