Dimension reduction in the context of structured deformations
DOI10.1007/s10659-018-9670-9zbMath1417.49011arXiv1709.02869OpenAlexW2963610392WikidataQ60108627 ScholiaQ60108627MaRDI QIDQ2424207
Graça Carita, Marco Morandotti, José Matias, David R. Owen
Publication date: 24 June 2019
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.02869
dimension reductionrelaxationexplicit formulasstructured deformationsintegral representation of functionals
Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Micromechanical theories (74A60)
Related Items (4)
Cites Work
- Optimal design of fractured media with prescribed macroscopic strain
- Elasticity with gradient-disarrangements: a multiscale perspective for strain-gradient theories of elasticity and of plasticity
- Bending moment in membrane theory
- A dimension reduction result in the framework of structured deformations
- Optimal flux densities for linear mappings and the multiscale geometry of structured deformations
- Derivation of a new free energy for biological membranes
- Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
- Functionals with linear growth defined on vector valued BV functions
- A Lusin type theorem for gradients
- Constitutive relations for no-tension materials
- An introduction to \(\Gamma\)-convergence
- Bulk and interfacial energy densities for structured deformations of continua
- Toward a field theory for elastic bodies undergoing disarrangements
- Relaxation of bulk and interfacial energies
- Integral-gradient formulae for structured deformations
- The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- Stable disarrangement phases of elastic aggregates: a setting for the emergence of no-tension materials with non-linear response in compression
- Explicit formulas for relaxed disarrangement densities arising from structured deformations
- The general form of the relaxation of a purely interfacial energy for structured deformations
- Asymptotic development by \(\Gamma{}\)-convergence
- First normal stress difference and crystallization in a dense sheared granular fluid
- Optimal design in elasticity and plasticity
- Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $
- A note on equilibrated stress fields for no-tension bodies under gravity
- Brittle thin films
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Dimension reduction in the context of structured deformations