A finite element displacement formulation for gradient elastoplasticity

International Journal for Numerical Methods in Engineering

Volumn 50, Issue 6, 2001, Pages 1369-1388

  Zervos, A ^a,b   Papanastasiou, P ^b   Vardoulakis, I ^b  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b SCHLUMBERGER CAMBRIDGE RESEARCH   (United Kingdom)

Author keywords

C1 finite element; Gradient elasticity; Gradient plasticity; Localization of deformation; Material softening; Shear band

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; CONTINUUM MECHANICS; DEFORMATION; FINITE ELEMENT METHOD; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; SENSITIVITY ANALYSIS; SHEAR STRESS; STRAIN;

GRADIENT ELASTOPLASTIC MODELS; SHEAR-BAND ZONES; STRAIN-SOFTENING MATERIALS;

ELASTOPLASTICITY;

DEFORMATION; ELASTOPLASTICITY; FINITE ELEMENT METHOD; FRACTURE MECHANICS;

EID: 0035961284     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0207(20010228)50:6<1369::AID-NME72>3.0.CO;2-K     Document Type: Article

References (33)

1. The thickness of shear bands in granular materials
2. Numerical treatment of progressive localization in relation to borehole stability
3. Numerical study on shear band patterning in a Cosserat continuum
4. Microstructure in linear elasticity
5. Nonlocal damage theory
6. Effects of nonlocal damage in porous plastic solids
7. On the microstructural origin of certain inelastic models
8. The physics of plastic deformation
9. A gradient flow theory of plasticity for granular materials
10. Gradient-dependent plasticity: Formulation and algorithmic aspects
11. Discretization influence in strain-softening problems
12. Finite element implementation of gradient plasticity models. Part I: Gradient-dependent yield functions
13. On the gradient-dependent theory of plasticity and shear banding
14. Remarks on media with microstructures
15. On the role of gradients in the localization of deformation and fracture
16. Modelling of tool-rock shear interfaces using gradient-dependent flow theory of plasticity
17. Micro-structure in kinematic-hardening plasticity
18. A second-gradient plasticity model for granular rocks
19. On the role of microstructure in the behaviour of soils: Effects of higher order gradients and internal inertia
20. Microstructure and scale effect in granular rocks
21. Finite element implementation of gradient plasticity models. Part II: Gradient-dependent evolution equations
22. The prediction of a size effect in microindentation
23. Finite elements for materials with strain gradient effects
24. The TUBA family of plate elements for the matrix displacement method
25. A higher-order triangular plate bending element revisited
26. Elasto-plastic stress analysis, a generalization for various constitutive relations including strain softening
27. 2nd gradient constitutive models