Implicit consistent and continuum tangent operators in elastoplastic boundary element formulations

Computer Methods in Applied Mechanics and Engineering

Volumn 190, Issue 15-17, 2001, Pages 2157-2179

  Paulino, Glaucio H ^a   Liu, Yong ^b  

^a University of Illinois at Urbana Champaign   (United States)

^b RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Boundary element method (BEM); Consistent tangent operator; Continuum tangent operator; Elastoplastic material; Fracture mechanics; J integral

Indexed keywords

ELASTOPLASTICITY;

EID: 0035808190     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(00)00228-0     Document Type: Article

References (30)

1. Boundary element formulation in finite deformation plasticity using implicit integration
2. Implicit procedures for the solution of elastoplastic problems by the boundary element method
3. Static and transient dynamic nonlinear stress analysis by the boundary element method with implicit techniques
4. Implicit objective integration for sensitivity analysis in nonlinear solid mechanics
5. Sensitivity analysis of hyperelastic-viscoplastic solids undergoing large deformations
6. Sensitivity analysis in nonlinear solid mechanics by the boundary element method with an implicit scheme
7. Implicit BEM formulations for usual and sensitivity problems in elastoplasticity using the consistent tangent operator concept
8. Numerical implementation of a CTO-based implicit approach for the BEM solution of usual and sensitivity problems in elastoplasticity
9. Consistent tangent operators for rate-independent elastoplasticity
10. Note on the integration of the equations of equilibrium of an elastic solid
11. Incremental finite-element sensitivity analysis for nonlinear mechanics applications
12. Comparison of several path independent integrals including plasticity effects
13. A path independent intgral and the approximate analysis of strain concentration by notches and cracks
14. Hypersingular formulation for boundary strain evaluation in the context of a CTO-based implicit BEM scheme for small strain elastoplasticity
15. Virtual crack extension methods for nonlinear materials
16. Design sensitivity analysis for rate-independent elastoplasticity
17. Galerkin residuals for adaptive symmetric-Galerkin boundary element methods
18. Hypersingular residuals - A new approach for error estimation in the boundary element method
19. Nodal sensitivities as error estimates in computational mechanics
20. A methodology for adaptive finite element analysis: Towards an integrated computational environment