In the self-contact problem in nonlinear elasticity

DOI10.1007/s00205-021-01752-2OpenAlexW4210545728MaRDI QIDQ2113544

Publication date: 14 March 2022

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-021-01752-2

Mathematics Subject Classification ID

Linear function spaces and their duals (46Exx) Elastic materials (74Bxx) Geometric function theory (30Cxx)

Cites Work

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Lectures on mappings of finite distortion
Regularity of inverses of Sobolev deformations with finite surface energy
Reshetnyak's theorem and the inner distortion
Unilateral problems in nonlinear three-dimensional elasticity
Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity
Injectivity and self-contact in nonlinear elasticity
Regularity properties of deformations with finite energy
Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
Null Lagrangians, weak continuity, and variational problems of arbitrary order
Quasiconformal mappings and spaces of functions with generalized first derivatives
Convexity conditions and existence theorems in nonlinear elasticity
Univalent minimizers of polyconvex functionals in two dimensions
Lusin's condition (N) and mappings with nonnegative Jacobians
An existence theory for nonlinear elasticity that allows for cavitation
On a new class of elastic deformations not allowing for cavitation
Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity
Space mappings with bounded distortion
On the stability of conformal mappings in multidimensional spaces
Higher integrability of determinants and weak convergence in L1.
Almost-everywhere injectivity in nonlinear elasticity
Global invertibility of Sobolev functions and the interpenetration of matter
Local inversion for differentiable functions and the Darboux property
Deformations of finite conformal energy: existence and removability of singularities

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