期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 48, 期 19, 页码 2614-2629出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2011.05.009
关键词
Displacement discontinuity method; Ring dislocation; Ring dislocation dipole; Axisymmetric crack
类别
资金
- National Science Foundation [0600058]
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [0600058] Funding Source: National Science Foundation
This paper describes a displacement discontinuity method for modeling axisymmetric cracks in an elastic half-space or full space. The formulation is based on hypersingular integral equations that relate displacement jumps and tractions along the crack. The integral kernels, which represent stress influence functions for ring dislocation dipoles, are derived from available axisymmetric dislocation solutions. The crack is discretized into constant-strength displacement discontinuity elements, where each element represents a slice of a cone. The influence integrals are evaluated using a combination of numerical integration and a recursive procedure that allows for explicit integration of hyper- and Cauchy singularities. The accuracy of the solution at the crack tip is ensured by adding corrective stresses across the tip element. The method is validated by a comparison with analytical and numerical reference solutions. (C) 2011 Elsevier Ltd. All rights reserved.
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