Polyconvex energies and cavitation

DOI10.1007/s00030-012-0184-zzbMath1269.49015OpenAlexW2073851838MaRDI QIDQ2393613

Stefania Perrotta, Pietro Celada

Publication date: 8 August 2013

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-012-0184-z

zbMATH Keywords

cavitationpolyconvex integralsradial singular minimizers

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (4)

Regularity under general and \(p,q\)-growth conditions ⋮ Fourier-Chebyshev spectral method for cavitation computation in nonlinear elasticity ⋮ A variational approach to parabolic equations under general and \(p,q\)-growth conditions ⋮ Invertibility of Orlicz-Sobolev maps

Cites Work

• Discontinuous energy minimizers in nonlinear elastostatics: An example of J. Ball revisited
• Radially symmetric cavitation for hyperelastic materials
• Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
• An existence theory for nonlinear elasticity that allows for cavitation
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
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