Polyconvexity for functions of a system of closed differential forms

DOI10.1007/s00526-017-1298-2zbMath1384.49019OpenAlexW2783719735MaRDI QIDQ1703153

Šilhavý, Miroslav

Publication date: 1 March 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-017-1298-2

zbMATH Keywords

mult. ext. polyconvexitymult. ext. quasiconvexity, mult. ext. one convexity

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Electromagnetic effects in solid mechanics (74F15) Existence theories in calculus of variations and optimal control (49J99)

Related Items (2)

Isotropic polyconvex electromagnetoelastic bodies ⋮ Quasiconvexity and relaxation in optimal transportation of closed differential forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\mathcal{A}\)-quasiconvexity at the boundary and weak lower semicontinuity of integral functionals
• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• Homogenization of functionals with linear growth in the context of \(\mathcal A\)-quasiconvexity
• Normal currents: structure, duality pairings and div-curl lemmas
• Null Lagrangians, weak continuity, and variational problems of arbitrary order
• Weak continuity and weak lower semi-continuity of non-linear functionals
• Convexity conditions and existence theorems in nonlinear elasticity
• Integral estimates for null Lagrangians
• Magnetoelastic modelling of elastomers
• Mathematical modeling of magneto-sensitive elastomers.
• \(A\)-\(B\) quasiconvexity and implicit partial differential equations
• Nonlinear electroelasticity
• Nonlinear magnetoelastic deformations of elastomers
• On a new class of elastic deformations not allowing for cavitation
• Transversely isotropic nonlinear magneto-active elastomers
• Calculus of variations with differential forms
• Nonlinear electroelastic deformations
• General theorems on semicontinuity and on convergence with a functional
• Quasi-convexity and the lower semicontinuity of multiple integrals
• A-Quasiconvexity: Relaxation and Homogenization
• Exterior convexity and classical calculus of variations
• On magneto-acoustic waves in finitely deformed elastic solids
• On Weak Continuity and the Hodge Decomposition
• $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
• A polyconvex anisotropic free energy function for electro- and magneto-rheological elastomers
• A variational approach to nonlinear electro-magneto-elasticity: Convexity conditions and existence theorems

This page was built for publication: Polyconvexity for functions of a system of closed differential forms