Stress-strain relations in elastoplastic solids with Dugdale-type cracks |
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Authors: | Yu.A. Chernyakov I. Tsukrov |
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Affiliation: | a Department of Theoretical and Applied Mechanics, Dnepropetrovsk National University, Dnepropetrovsk 49050, Ukraine b Department of Mechanical Engineering, University of New Hampshire, 33 College Road, Durham, NH 03824, USA |
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Abstract: | Mechanical behavior of a two-dimensional elastoplastic solid with rectilinear cracks is investigated. Plastic strip model is used to reduce plasticity problem to the equivalent linear elasticity formulation. Two realizations of the mixed mode plastic strip model are considered: in-line plastic strips as proposed by Becker and Gross [Int. J. Fract. 37 (1988) 163], and inclined plastic strips of Panasyuk and Savruk [Appl. Mech. Rev. 47 (1994) 151]. The effective mechanical response predictions are based on the procedure presented in Kachanov et al., [Appl. Mech. Rev. 47 (1994) 151]. Stress-strain relations are obtained for parallel and randomly oriented non-interacting cracks. Results are compared with known elastic solutions. |
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Keywords: | Elastoplastic solid Cracks Constitutive relations Plastic strip model |
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