Griffith crack in an orthotropic strip by successive approximation method. (English) Zbl 1468.74052
Summary: The angular distribution of the circumferential stress and the strain energy density of a static Griffith crack situated in a mid plane of elastic symmetry of an infinite orthotropic strip of finite thickness have been investigated using integral representation of the displacement. Two problems have been considered in this paper. In the first problem, we consider the boundaries to be rigid and in the second problem, boundaries are assumed to be stress free. For large value of strip depth, asymptotic expression of the stresses are obtained. Expression for stress intensity factor at the crack tip is determined and computed numerically for two different orthotropic materials.
MSC:
| 74R10 | Brittle fracture |
| 74G70 | Stress concentrations, singularities in solid mechanics |
| 74G10 | Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics |
| 74E10 | Anisotropy in solid mechanics |
Keywords:
large strip depth; asymptotic solution; Fredholm integral equation; circumferential stress; strain energy density; stress intensity factorReferences:
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