Measure-valued structured deformations
From MaRDI portal
Publication:6616428
DOI10.1007/S00332-024-10076-WzbMATH Open1548.49052MaRDI QIDQ6616428
Could not fetch data.
Publication date: 9 October 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
energy minimizationintegral representationrelaxationstructured deformationfunctional depending on measures
Nonlinear elasticity (74B20) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Spaces of measures, convergence of measures (28A33)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Lower semicontinuity and relaxation of signed functionals with linear growth in the context of \(\mathcal A\)-quasiconvexity
- Optimal design of fractured media with prescribed macroscopic strain
- A dimension reduction result in the framework of structured deformations
- Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints
- Optimal flux densities for linear mappings and the multiscale geometry of structured deformations
- Characterization of generalized gradient Young measures generated by sequences in \(W^{1,1}\) and BV
- A Lusin type theorem for gradients
- Structured deformations of continua
- An introduction to \(\Gamma\)-convergence
- Bulk and interfacial energy densities for structured deformations of continua
- Sur léquilibre des corps élastiques multiplement connexes.
- A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\)
- Second-order structured deformations
- The shape of low energy configurations of a thin elastic sheet with a single disclination
- Relaxation of bulk and interfacial energies
- Periodic homogenization in the context of structured deformations
- Second-order structured deformations in the space of functions of bounded Hessian
- On the approximation theorem for structured deformations from \(BV(\Omega)\)
- Explicit formulas for relaxed disarrangement densities arising from structured deformations
- Second-order structured deformations: relaxation, integral representation and applications
- Dimension reduction in the context of structured deformations
- Sublinear functions of measures and variational integrals
- A relaxation result in the framework of structured deformations in a bounded variation setting
- Upscaling and spatial localization of non-local energies with applications to crystal plasticity
- Calculus of variations
- Energetic Relaxation to Structured Deformations
- Surface penalization of self-interpenetration in linear and nonlinear elasticity
- Relaxation of functionals with linear growth: interactions of emerging measures and free discontinuities
- Semidiscrete Modeling of Systems of Wedge Disclinations and Edge Dislocations via the Airy Stress Function Method
- The variational modeling of hierarchical structured deformations
This page was built for publication: Measure-valued structured deformations
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6616428)
