The maximum circumferential tensile stress theory, originally developed for isotropic solids, is extended to an anisotropic one. A two parameter fracture toughness characterization is assumed, and a simplifying relationship among them postulated. The criteria is reformulated in terms of the maximiza
Maximum strain theory for mixed mode crack propagation in anisotropic solids
β Scribed by M.L. Ayari; Zhiming Ye
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 558 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0013-7944
No coin nor oath required. For personal study only.
β¦ Synopsis
The maximum strain theory for mixed mode crack propagation in anisotropic solids is derived. Based on the Sih and Liebowitz's solution of the near crack tip stress distribution in anisotropic solids, the macroscopic strength is discussed via a maximum circumferential strain factor. The theory is compared with the maximum circumferential stress theory for anisotropic solids of Saouma and Ayari and the minimum strain energy density theory for anisotropic solids, proposed recently by Ye and Ayari. It is found that all these theories have similar trends in predicting the onset of crack growth and direction of crack propagation. The maximum strain theory is also found to be the most conservative in comparison with the other theories.
π SIMILAR VOLUMES
The strain energy criterion for crack propagation proposed in the paper is based on the principle that the direction of crack propagation takes place along the direction where the distance from the crack tip to a certain contour line of constant distortional strain energy density is minimum, and the
Ah&met-Sib's fracture criterion based on strain energy density, S, for mixed mode crack extension under static loading is extended to dynamic mixed mode, K, and K,,, crack propagation. Influence of the second order term, uox, which represents the non-singular constant stress acting parallel to the d
Analysis of elastic wave propagation in anisotropic solids with cracks is of particular interest to quantitative nondestructive testing and fracture mechanics. For this purpose, a novel time-domain boundary integral equation method (BIEM) is presented in this paper. A finite crack in an unbounded el
The path-independent integral A is extended to account for mixed-mode loading and thermal stresses in dynamic fracture analysis. A new path-independent integral, k, related to the variation of the stress intensity factor is presented for solving the "prediction" problem in finite bodies subjected to