MODELING OF A MEMBRANE FOR NONLINEARLY ELASTIC INCOMPRESSIBLE MATERIALS VIA GAMMA-CONVERGENCE

DOI10.1142/S0219530506000693zbMath1086.74025MaRDI QIDQ3379454

Karim Trabelsi

Publication date: 6 April 2006

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

quasiconvexityimmersionssingular functional relaxationlimit two-dimensional internal energy

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15)

Related Items (15)

The mathematics of thin structures ⋮ The von Kármán theory for incompressible elastic shells ⋮ Derivation of a plate theory for incompressible materials ⋮ Plates with incompatible prestrain of high order ⋮ An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers ⋮ Brittle membranes in finite elasticity ⋮ Actuation of thin nematic elastomer sheets with controlled heterogeneity ⋮ Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density ⋮ The nonlinear membrane energy: Variational derivation under the constraint ``det\(\nabla u>\)0 ⋮ Effective behavior of nematic elastomer membranes ⋮ Asymptotic variational analysis of incompressible elastic strings ⋮ \(\Gamma \)-convergence for incompressible elastic plates ⋮ Bending, buckling and free vibration analysis of incompressible functionally graded plates using higher order shear and normal deformable plate theory ⋮ An explicit formula of reduced membrane energy for incompressiblep-Dirichlet energy ⋮ On the theory of relaxation in nonlinear elasticity with constraints on the determinant

Cites Work

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• Relaxation of singular functionals defined on Sobolev spaces
• On the extension of differentiable functions
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