Abstract
Three-dimensional elastic-plastic problems for a power-law hardening material are solved using the finite element method. Distributions of the J-integral and constraint parameter A along the crack front for varying specimen thickness and crack depth are determined for edge cracked plate, center cracked plate, three point bend and compact tension specimens. The constraint parameter A is a measure of stress field deviation from the HRR field. Higher A values signify lower specimen constraint. Results of finite element analyses show that the constraint parameter A significantly decreases when specimen thickness changes from 0.1 to 0.5 of the specimen width. Then it has more or less stable value. Among four specimen the highest constraint is demonstrated by the compact tension specimen which has the constraint parameter A lower than its small scale yielding value.
Highlights
The J -integral [1, 2] is the most used fracture mechanics parameter for structural integrity analysis of elastic-plastic cracked structures
Among four specimen the highest constraint is demonstrated by the compact tension specimen which has the constraint parameter A lower than its small scale yielding value
Elastic-plastic problems for a power-law hardening material are solved using the finite element method for the following specimens shown in Fig. 1: edge cracked plate (ECP), center cracked plate (CCP), three-point bend specimen (3PB) and compact tension specimen (CT)
Summary
The J -integral [1, 2] is the most used fracture mechanics parameter for structural integrity analysis of elastic-plastic cracked structures. Elastic-plastic crack tip field; Three-term elastic-plastic asymptotic expansion; Constraint parameter; Finite element method. A mathematical approach to the introduction of a second fracture parameter is based on higher order elastic-plastic asymptotic expansions of the stress field in the near crack tip region.
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