Characterizing geometrically necessary dislocations using an elastic-plastic decomposition of Laplace stretch
From MaRDI portal
Publication:2025459
DOI10.1007/s00033-020-01420-7zbMath1478.53013OpenAlexW3095486276MaRDI QIDQ2025459
Sandipan Paul, Alan David Freed
Publication date: 14 May 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-020-01420-7
Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Kinematics of deformation (74A05) Applications of differential geometry to physics (53Z05) Differential geometric aspects in kinematics (53A17) Non-Euclidean differential geometry (53A35) Linear and affine connections (53B05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- A finite deformation theory of higher-order gradient crystal plasticity
- A critical review of the state of finite plasticity
- Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
- Logarithmic strain and its material derivative for a QR decomposition of the deformation gradient
- On defect-preserving deformations in crystals
- A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. I: Continuum formulation
- Characterization of dislocations and their influence on plastic deformation in single crystals
- Lattice incompatibility and a gradient theory of crystal plasticity
- Indentation size effects in crystalline materials: a law for strain gradient plasticity
- On the use of convected coordinate systems in the mechanics of continuous media derived from a \(\mathbf{QR}\) factorization of \textsf{F}
- Development of a finite strain two-network model for shape memory polymers using QR decomposition
- On the use of the upper triangular (or QR) decomposition for developing constitutive equations for Green-elastic materials
- Mechanism-based strain gradient plasticity. I: Theory
- Plastic spin: Necessity or redundancy?
- A simple and practical representation of compatibility condition derived using a \textbf{QR} decomposition of the deformation gradient
- Riemann-Cartan geometry of nonlinear dislocation mechanics
- A decomposition of Laplace stretch with applications in inelasticity
- On the determination of deformation from strain
- The Burgers vector and the flow of screw and edge dislocations in finite-deformation single-crystal plasticity
- Some remarks on elastic-plastic deformation at finite strain
- On some types of topological groups
- Differential Geometry and Kinematics of Continua
- Gram-Schmidt orthogonalization: 100 years and more
- On the determination of the crystal reference in nonlinear continuum theory of dislocations
- Continuous Distributions of Dislocations: Surface Dislocations and the Crystallography of Martensitic Transformations
- A complete list of invariants for defective crystals
- A Remark on the Use of the Decomposition F = FeFp in Plasticity
- On anholonomic deformation, geometry, and differentiation
- A Counterpoint to Cermelli and Gurtin’s Criteria for Choosing the ‘Correct’ Geometric Dislocation Tensor in Finite Plasticity
- On the Evolution of Plasticity and Incompatibility
- Elastic-Plastic Deformation at Finite Strains
- On the characterization of geometrically necessary dislocations in finite plasticity
