Energy minimization for an elastic fluid

DOI10.1007/s10659-009-9224-2zbMath1273.74108OpenAlexW2072341596MaRDI QIDQ849266

Roger L. Fosdick, Sivaloganathan, Jeyabal

Publication date: 25 February 2010

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-009-9224-2

zbMATH Keywords

deformation gradientspecific internal energy

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Elastic materials (74B99)

Cites Work

• Unnamed Item
• Unnamed Item
• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• On a partial differential equation involving the Jacobian determinant
• On the ubiquity of fracture in nonlinear elasticity
• Existence of Minimizers for Polyconvex and Nonpolyconvex Problems
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• A construction of infinitely many singular weak solutions to the equations of nonlinear elasticity
• An Existence Result in a Problem of the Vectorial Case of the Calculus of Variations
• Direct methods in the calculus of variations