CALCULATION FOR PATH-DOMAIN INDEPENDENT J INTEGRAL WITH ELASTO-VISCOPLASTIC CONSISTENT TANGENT OPERATOR CONCEPT-BASED BOUNDARY ELEMENT METHODS

【摘要】 <正> This paper presents an elasto-viscoplastic consistent tangent oper-ator (CTO) based boundary element formulation, and application for calculation ofpath-domain independent J integrals (extension of the classical J integrals) in non-linear crack analysis. When viscoplastic deformation happens, the effective stressesaround the crack tip in the nonlinear region is allowed to exceed the loading sur-face, and the pure plastic theory is not suitable for this situation. The concept ofconsistency employed in the solution of increment viscoplastic problem, plays a cru-cial role in preserving the quadratic rate asymptotic convergence of iterative schemesbased on Newton’s method. Therefore, this paper investigates the viscoplastic crackproblem, and presents an implicit viscoplastic algorithm using the CTO concept in aboundary element framework for path-domain independent J integrals. Applicationsare presented with two numerical examples for viscoplastic crack problems and Jintegrals.更多还原

【Abstract】 This paper presents an elasto-viscoplastic consistent tangent oper- ator (CTO) based boundary element formulation, and application for calculation of path-domain independent J integrals (extension of the classical J integrals) in non- linear crack analysis. When viscoplastic deformation happens, the effective stresses around the crack tip in the nonlinear region is allowed to exceed the loading sur- face, and the pure plastic theory is not suitable for this situation. The concept of consistency employed in the solution of increment viscoplastic problem, plays a cru- cial role in preserving the quadratic rate asymptotic convergence of iterative schemes based on Newton’s method. Therefore, this paper investigates the viscoplastic crack problem, and presents an implicit viscoplastic algorithm using the CTO concept in a boundary element framework for path-domain independent J integrals. Applications are presented with two numerical examples for viscoplastic crack problems and J integrals.更多还原