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NULL LAGRANGIANS IN LINEAR ELASTICITY

Mathematical Models and Methods in Applied Sciences, 1995
The concept of null Lagrangian is exploited in the context of linear elasticity. In particular, it is shown that the stored energy functional can always be split into a null Lagrangian and a remainder; the null Lagrangian vanishes if and only if the elasticity tensor obeys the Cauchy relations, and is therefore determined by only 15 independent moduli
LANCIA, Maria Rosaria   +2 more
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Spectral method for linear elasticity

Applied Mathematics and Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeong Ho Chu, Hi Jun Choe, Man-Hoe Kim
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Linear elasticity

2021
Alexandre Ern, Jean-Luc Guermond
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Linear Elasticity

2022
Prasun Kumar Nayak   +1 more
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On Universal Coercivity in Linear Elasticity

SIAM Journal on Mathematical Analysis, 2010
We consider a variational model for composition of finitely many strongly elliptic homogenous elastic materials in linear elasticity. We give conditions for universal coercivity for the variational integrals which are independent of particular compositions of materials involved.
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On the Linearization of Stress in Constrained Elasticity

Journal of Elasticity, 2002
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Linear Elasticity

2005
Andrea Toselli, Olof B. Widlund
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Linear Elastic Dipolar Plates

Journal of Applied Mechanics, 1968
Abstract The linear dipolar field equations for an initially flat surface are presented and applied to an elastic isotropic surface. The equations separate into extensional and bending equations, and the extensional equations are discussed in detail.
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Locking-Free Enriched Galerkin Method for Linear Elasticity

SIAM Journal on Numerical Analysis, 2022
Sanghyun Lee   +2 more
exaly  

Strain, stress and linearized elasticity

2008
In these notes I introduce the concepts of strain and stress, and I present the linearized elasticity problem.
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