Sur la faible fermeture de certains ensembles de contraintes en élasticité non-linéaire plane. (Weak closure of certain sets of constraints in plane nonlinear elasticity)
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Publication:1090127
DOI10.1007/BF00279845zbMath0619.73014OpenAlexW1980586611MaRDI QIDQ1090127
Publication date: 1987
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00279845
Sobolev spaceenergy functionalhyperelastic materialselastostaticsrank-one convexityplane-strain problemssequentially weak semicontinuity from belowsubsets of admissible stressesweak closedness
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elasticity (74B20) Boundary-layer theory for compressible fluids and gas dynamics (76N20)
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Cites Work
- Conditions necessaires de faible fermeture et de 1-rang convexity en dimension 3. (Necessary conditions for weak closure and rank-one convexity in three-dimensional elasticity)
- On the failure of ellipticity of the equations for finite elastostatic plane strain
- Convexity conditions and existence theorems in nonlinear elasticity
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