An explicit formula of reduced membrane energy for incompressiblep-Dirichlet energy

DOI10.1080/00036810903277101zbMath1177.49027OpenAlexW2109377701MaRDI QIDQ3649449

Baisheng Yan

Publication date: 4 December 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903277101

zbMATH Keywords

quasiconvexificationmembrane energyincompressible \(p\)-Dirichlet energy

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Variational principles of physics (49S05)

Related Items (1)

Effective behavior of nematic elastomer membranes

Cites Work

• Convexity conditions and existence theorems in nonlinear elasticity
• MODELING OF A MEMBRANE FOR NONLINEARLY ELASTIC INCOMPRESSIBLE MATERIALS VIA GAMMA-CONVERGENCE
• Relaxation of singular functionals defined on Sobolev spaces
• Derivation of Elastic Theories for Thin Sheets and the Constraint of Incompressibility
• Direct methods in the calculus of variations
• A linear boundary value problem for weakly quasiregular mappings in space

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