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| Content Provider | The American Society of Mechanical Engineers (ASME) Digital Collection |
|---|---|
| Author | Arai, Koichiro Okada, Hiroshi Yusa, Yasunori |
| Copyright Year | 2018 |
| Abstract | In this paper, a redefined three-dimensional J-integral for the quadratic tetrahedral element along with some numerical examples are presented. It is known that the J-integral represents the energy release rate and can be computed on an arbitrary path or a domain of integration. This feature is called the “path-independent property”. It requires the assumption of proportional loading in the case of elastic-plastic material. Because of this assumption, when the J-integral is applied to a problem under a non-proportional loading condition, the computed J-integral value depends on the integral path or the integral domain. To overcome this problem, the authors have proposed a formula to evaluate the energy dissipation inside a finite domain in the vicinity of the crack front, which is an extension of the conventional three-dimensional J-integral. The energy dissipating into a small but finite domain in the vicinity of crack front includes the energy released due to the opening of new crack faces and the deformation energy in the process zone. The numerical evaluation is carried out by the domain integral. In this formula, it is not necessary to evaluate any non-integrable terms at the crack front. Furthermore, the proposed formula has the feature of integral domain independence for any material models without any assumptions in their deformation histories. Therefore, it is possible to evaluate the J-integral for problems with non-proportional loads by using the proposed method. In this paper, computational method using the quadratic tetrahedral element for the redefined J-integral under non-proportional loading is presented first. Some results of three-dimensional semi-circular surface crack problem are presented as numerical examples. |
| Sponsorship | Pressure Vessels and Piping Division |
| File Format | |
| ISBN | 9780791851616 |
| DOI | 10.1115/PVP2018-84241 |
| Volume Number | Volume 2: Computer Technology and Bolted Joints |
| Conference Proceedings | ASME 2018 Pressure Vessels and Piping Conference |
| Language | English |
| Publisher Date | 2018-07-15 |
| Publisher Place | Prague, Czech Republic |
| Access Restriction | Subscribed |
| Subject Keyword | Computational methods Fracture (materials) Deformation Energy dissipation Surface cracks Stress |
| Content Type | Text |
| Resource Type | Article |
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