Variational models with Eulerian-Lagrangian formulation allowing for material failure

Cites Work

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Existence results for incompressible magnetoelasticity
\(\Gamma\)-convergence of energies for nematic elastomers in the small strain limit
Regularity of inverses of Sobolev deformations with finite surface energy
Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity
Property N of homeomorphisms of the class \(W_ p\)
Fracture surfaces and the regularity of inverses for BV deformations
\(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
A relaxation result for micromagnetics in SBV
Existence theory for a new class of variational problems
Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity
Necessary and sufficient conditions for the chain rule in \(W_{\text{loc}}^{1,1} (\mathbb R^N;\mathbb R^d)\) and \(BV_{\text{loc}}(\mathbb R^N;\mathbb R^d)\)
Cavitation, invertibility, and convergence of regularized minimizers in nonlinear elasticity
Regularity properties of deformations with finite energy
Null Lagrangians, weak continuity, and variational problems of arbitrary order
Asymptotic behavior of the Landau-Lifshitz model of ferromagnetism
Existence of minimizers for a variational problem in two-dimensional nonlinear magnetoelasticity
Quasistatic crack growth in nonlinear elasticity
An existence theory for nonlinear elasticity that allows for cavitation
On a new class of elastic deformations not allowing for cavitation
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Equilibrium for multiphase solids with Eulerian interfaces
Orlicz-Sobolev nematic elastomers
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\(\Gamma\)-convergence approximation of fracture and cavitation in nonlinear elasticity
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Sets of Finite Perimeter and Geometric Variational Problems
Lusin's condition and the distributional determinant for deformations with finite energy
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Non-interpenetration of matter for SBV deformations of hyperelastic brittle materials
Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
Almost-everywhere injectivity in nonlinear elasticity
Nonlocal Variational Problems in Nonlinear Electromagneto-Elastostatics
A First Course in Sobolev Spaces
Invertibility and a Topological Property of Sobolev Maps
Equilibria of Charged Hyperelastic Solids
Existence for dislocation-free finite plasticity
Transformations by functions in Sobolev spaces and lower semicontinuity for parametric variational problems
Frank energy for nematic elastomers: a nonlinear model
Existence of Energy Minimizers for Magnetostrictive Materials
Quasistatic Evolution of Cavities in Nonlinear Elasticity
The Convergence of Regularized Minimizers for Cavitation Problems in Nonlinear Elasticity
Quasistatic evolution for dislocation-free finite plasticity
Direct methods in the calculus of variations
On the existence of minimizers with prescribed singular points in nonlinear elasticity
Function spaces for liquid crystals
Quasistatic evolution in magnetoelasticity under subcritical coercivity assumptions
Existence results in large-strain magnetoelasticity

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