The derivative of the energy functional along the crack length in problems of the theory of elasticity. (English. Russian original) Zbl 1017.74059
J. Appl. Math. Mech. 64, No. 3, 449-456 (2000); translation from Prikl. Mat. Mekh. 64, No. 3, 467-475 (2000).
The paper deals with a non-strained linear elastic body which occupies the domain \( D\subset \mathbb{R}^p\) \( (p=2,3) \) and has a crack. The boundary conditions on the crack edges are formulated in the form of inequalities, and describe the conditions of mutual impermeability of the edges. In two-dimensional and three-dimensional cases, the authors obtain analogues of Eshelby-Cherepanov-Rice integral.
Reviewer: A. A. Kaminskij (Kyïv)
MSC:
| 74R10 | Brittle fracture |
| 74G65 | Energy minimization in equilibrium problems in solid mechanics |
| 74B05 | Classical linear elasticity |
Keywords:
linear elastic body; Eshelby-Cherepanov-Rice integral; derivative of energy functional; Griffith’s formula; minimization problem; variational inequalityReferences:
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