Remarks about a constructive method in nonlinear elasticity
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Publication
2019 - Sächsischen Akademie der Wissenschaften zu Leipzig in Kommission bei S. Hirzel, Stuttgart, Germany
Language
English
Word Count
6,750 words, Guess
Page Count
27 pages
Identifiers
- Open LibraryOL60716542M
- ISBN-139783777628271
- ISBN-103777628271
- OCLC Control Number1127390067
Classifications
- LCCQA931 .G58 2019
Description
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.
Subjects
Topics
Series Statement
- Abhandlungen der Sächsischen Akademie der Wissenschaften zu Leipzig, Mathematisch-Naturwissenschaftliche Klasse -- Band 66, Heft 4
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