Please use this identifier to cite or link to this item: https://doi.org/10.1023/B:FRAC.0000026362.17211.12
Title: Computing a-posteriori bounds for stress intensity factors in elastic fracture mechanics
Authors: Lee, K.H. 
Xuan, Z.C.
Keywords: Bounds
Finite elements
Fracture
Stress intensity factors
Issue Date: Mar-2004
Source: Lee, K.H., Xuan, Z.C. (2004-03). Computing a-posteriori bounds for stress intensity factors in elastic fracture mechanics. International Journal of Fracture 126 (2) : 123-142. ScholarBank@NUS Repository. https://doi.org/10.1023/B:FRAC.0000026362.17211.12
Abstract: This paper mainly focuses on computing the lower and upper bounds on stress intensity factors in elastic fracture mechanics with an efficient finite element output bound procedure on quantities of interest in engineering. The bounds procedure is obtained by minimizing the quadratic energy functional of output with constraints of equilibrium conditions of mechanics and continuity conditions of finite element space. The computation is based on solving the elemental Neumann residual problems for the bounds on energy norm of error in finite element solutions. The lower and upper bounds on the intensity factors of an open mode and a shear mode elastic fracture problems are computed in this paper. © 2004 Kluwer Academic Publishers.
Source Title: International Journal of Fracture
URI: http://scholarbank.nus.edu.sg/handle/10635/59772
ISSN: 03769429
DOI: 10.1023/B:FRAC.0000026362.17211.12
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