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NULL LAGRANGIANS IN LINEAR ELASTICITY
Mathematical Models and Methods in Applied Sciences, 1995The 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, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeong Ho Chu, Hi Jun Choe, Man-Hoe Kim
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On Universal Coercivity in Linear Elasticity
SIAM Journal on Mathematical Analysis, 2010We 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, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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, 2022Sanghyun Lee +2 more
exaly
Strain, stress and linearized elasticity
2008In these notes I introduce the concepts of strain and stress, and I present the linearized elasticity problem.
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