Analysis and Applications · 2006 · 20 citations · 12 references
Natural SciencesMaterials ScienceMechanical EngineeringComputational Fluid DynamicsMechanical Behavior Of MaterialsElastic DeformationElasticity TheoryMembrane DynamicsMembrane ElasticityMembrane MechanicsMembrane ModelingElastic Plate TheoryHyperelastic Material ModelingHyperelasticityIncompressible Material ModelsMembrane Mechanical PropertiesNonlinear ElasticityNonlinear Membrane Behavior
In this paper, we derive nonlinearly elastic membrane plate models for hyperelastic incompressible materials using Γ-convergence arguments. We obtain an integral representation of the limit two-dimensional internal energy owing to a result of singular functionals relaxation due to Ben Belgacem [6].
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The Self-Intersections of a Smooth n-Manifold in 2n-Space
Hassler Whitney · Annals of Mathematics · 1944 · 404 citations
The Singularities of a Smooth n-Manifold in (2n - 1)-Space
Hassler Whitney · Annals of Mathematics · 1944 · 217 citations