Energy minimising configurations of pre-strained multilayers
From MaRDI portal
Publication:2196518
DOI10.1007/s10659-020-09771-yzbMath1440.74197arXiv1907.00447OpenAlexW3011229846MaRDI QIDQ2196518
Publication date: 2 September 2020
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.00447
Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65) Bifurcation and buckling (74G60)
Related Items
Dimension reduction through gamma convergence for general prestrained thin elastic sheets ⋮ An atomistic derivation of von-Kármán plate theory ⋮ Design of pre-stressed plate-strips to cover non-developable shells ⋮ A homogenized bending theory for prestrained plates ⋮ A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions ⋮ A hierarchy of multilayered plate models
Uses Software
Cites Work
- Unnamed Item
- Conforming finite element methods for the von Kármán equations
- A \(C^0\) interior penalty method for a von Kármán plate
- Bifurcation in isotropic thin film/substrate plates
- Approximation of flat \(W ^{2,2}\) isometric immersions by smooth ones
- Elastic theory of unconstrained non-Euclidean plates
- On the Sobolev space of isometric immersions
- Substrate curvature due to thin film mismatch strain in the nonlinear deformation range
- A Riemannian approach to reduced plate, shell, and rod theories
- Geometrically nonlinear stress-deflection relations for thin film/substrate systems
- Plate theory for stressed heterogeneous multilayers of finite bending energy
- Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of `Numerische Behandlung partieller Differentialgleichungen' by Martin Stynes.
- Minimal energy configurations of strained multi-layers
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- On the role of curvature in the elastic energy of non-Euclidean thin bodies
- A Nonconforming Finite Element Approximation for the von Karman equations
- Bilayer Plates: Model Reduction, Γ-Convergent Finite Element Approximation, and Discrete Gradient Flow
- The Föppl-von Kármán equations for plates with incompatible strains
- The Plate Paradox for Hard and Soft Simple Support
- On Locking and Robustness in the Finite Element Method
- Approximation of Large Bending Isometries with Discrete Kirchhoff Triangles
- Numerical Solution of a Föppl--von Kármán Model
- The Mathematical Theory of Finite Element Methods
- Introduction
