Brittle fracture in linearly elastic plates
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Publication:5880812
DOI10.1017/prm.2021.71OpenAlexW3215266219MaRDI QIDQ5880812
Publication date: 6 March 2023
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.09150
Brittle fracture (74R10) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Membranes (74K15)
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Cites Work
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- Generalised functions of bounded deformation
- A density result for GSBD and its application to the approximation of brittle fracture energies
- Derivation of a homogenized nonlinear plate theory from 3d elasticity
- Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination
- The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity
- The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells
- A unified model for stress-driven rearrangement instabilities
- Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity
- Derivation of a homogenized von-Kármán shell theory from 3D elasticity
- A variational model for fracture and debonding of thin films under in-plane loadings
- The variational approach to fracture
- Fine properties of functions with bounded deformation
- Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.
- Quasistatic evolution of perfectly plastic shallow shells: a rigorous variational derivation
- A density result in \(GSBD^p\) with applications to the approximation of brittle fracture energies
- An approximation result for special functions with bounded deformation
- Korn and Poincaré-Korn inequalities for functions with a small jump set
- Rate-independent systems. Theory and application
- On the derivation of homogenized bending plate model
- A quasistatic evolution model for perfectly plastic plates derived by \(\varGamma\)-convergence
- \(\Gamma\)-limits and relaxations for rate-independent evolutionary problems
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- Quasistatic evolution of a brittle thin film
- Compactness and lower semicontinuity in \(GSBD\)
- DERIVATION OF A HOMOGENIZED VON-KÁRMÁN PLATE THEORY FROM 3D NONLINEAR ELASTICITY
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity
- VI. The phenomena of rupture and flow in solids
- A dimension-reduction model for brittle fractures on thin shells with mesh adaptivity
- Quasistatic evolution models for thin plates arising as low energy Γ-limits of finite plasticity
- Linearized plastic plate models asΓ-limits of 3D finite elastoplasticity
- Brittle thin films
- A new proof of compactness in G(S)BD
