Calculation of the second fracture parameter for finite cracked bodies using a three-term elastic-plastic asymptotic expansion
✍ Scribed by G.P. Nikishkov; A. Brückner-Foit; D. Munz
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 805 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0013-7944
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✦ Synopsis
A three-term asymptotic expansion which is controlled by two amplitude parameters is used to describe the stress field in the vicinity of the crack tip in a power-hardening material. The first parameter is the well-known J-integral. The second parameter (amplitude A) characterizes the following terms. A least squares procedure is developed for the determination of the amplitude parameter A by fitting of finite element data. The convergence of computed A values is investigated for a small scale yielding modified boundary layer problem. It is shown that the three-term expansion has certain advantages over the Q-stress approach. Values of the amplitude parameter A are determined for an edge cracked plate, center cracked plate, three-point bend specimen and compact tension specimen.