TY - JOUR
T1 - Implicit consistent and continuum tangent operators in elastoplastic boundary element formulations
AU - Paulino, Glaucio H.
AU - Liu, Yong
N1 - Funding Information:
This work was performed with supported from the National Science Foundation through Grant No. CMS-9713008 (Mechanics & Materials Program). The authors thank the Department of Civil and Environmental Engineering at the University of California, Davis, for hospitality while part of this work was developed. The authors also would like to thank Dr. Harrison Poon for providing them a version of his BEM CTO code.
PY - 2001/1/5
Y1 - 2001/1/5
N2 - This paper presents an assessment and comparison of boundary element method (BEM) formulations for elastoplasticity using both the consistent tangent operator (CTO) and the continuum tangent operator (CON). These operators are integrated into a single computational implementation using linear or quadratic elements for both boundary and domain discretizations. This computational setting is also used in the development of a method for calculating the J integral, which is an important parameter in (nonlinear) fracture mechanics. Various two-dimensional examples are given and relevant response parameters such as the residual norm, computational processing time, and results obtained at various load and iteration steps, are provided. The examples include fracture problems and J integral evaluation. Finally, conclusions are inferred and extensions of this work are discussed.
AB - This paper presents an assessment and comparison of boundary element method (BEM) formulations for elastoplasticity using both the consistent tangent operator (CTO) and the continuum tangent operator (CON). These operators are integrated into a single computational implementation using linear or quadratic elements for both boundary and domain discretizations. This computational setting is also used in the development of a method for calculating the J integral, which is an important parameter in (nonlinear) fracture mechanics. Various two-dimensional examples are given and relevant response parameters such as the residual norm, computational processing time, and results obtained at various load and iteration steps, are provided. The examples include fracture problems and J integral evaluation. Finally, conclusions are inferred and extensions of this work are discussed.
KW - Boundary element method (BEM)
KW - Consistent tangent operator
KW - Continuum tangent operator
KW - Elastoplastic material
KW - Fracture mechanics
KW - J integral
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U2 - 10.1016/S0045-7825(00)00228-0
DO - 10.1016/S0045-7825(00)00228-0
M3 - Article
AN - SCOPUS:0035808190
SN - 0045-7825
VL - 190
SP - 2157
EP - 2179
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 15-17
ER -