Classical and recent formulations for linear elasticity

The paper presents a review of the classical formulations for linear elasticity, known as principles in solid mechanics. The analogy between the first variation of the energy functionals and the weak forms is pointed out. Several recent developments in first order system least squares, applied to el...

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Bibliographic Details
Published in:Archives of computational methods in engineering 2001-01, Vol.8 (1), p.41-74
Main Authors: Tchonkova, M, Sture, S
Format: Article
Language:English
Subjects:
Elasticity
Least squares method
Mathematical analysis
Solid mechanics
Studies
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Summary:The paper presents a review of the classical formulations for linear elasticity, known as principles in solid mechanics. The analogy between the first variation of the energy functionals and the weak forms is pointed out. Several recent developments in first order system least squares, applied to elasticity are discussed. The paper concludes with a mathematical formulation of a new mixed least squares method and a discussion about its future development.[PUBLICATION ABSTRACT]
ISSN:1134-3060
1886-1784
DOI:10.1007/BF02736684