Journal ArticleDOI
On inequalities of Korn's type: I. Boundary-value problems for elliptic systems of partial differential equations
Ivan Hlaváček,Jindřich Nečas +1 more
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This article is published in Archive for Rational Mechanics and Analysis.The article was published on 1970-01-01. It has received 99 citations till now. The article focuses on the topics: Boundary value problem & Partial differential equation.read more
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Book ChapterDOI
The Linear Theory of Elasticity
TL;DR: Linear elasticity is one of the more successful theories of mathematical physics and its pragmatic success in describing the small deformations of many materials is uncontested The origins of the three-dimensional theory go back to the beginning of the 19th century and the derivation of the basic equations by Cauchy, Navier, and Poisson The theoretical development of the subject continued at a brisk pace until the early 20th century with the work of Beltrami, Betti, Boussinesq, Kelvin, Kirchhoff, Lame, Saint-Venant, Somigl
Book ChapterDOI
Numerical methods for unilateral problems in solid mechanics
Journal ArticleDOI
Existence, Uniqueness and Stability in Linear Cosserat Elasticity for Weakest Curvature Conditions
Jena Jeong,Patrizio Neff +1 more
TL;DR: In this article, the weakest possible constitutive assumptions on the curvature energy in linear Cosserat models still providing for existence, uniqueness, and stability were investigated, and it was observed that unphysical stiffening for small samples is avoided in torsion and bending while size effects are still present.
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