Non-singular antiplane fracture theory within nonlocal anisotropic elasticity |
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| Affiliation: | 1. Department of Civil and Structural Engineering, Box 12100, Aalto University, FI-00076 Aalto, Finland;2. Multi-Beam Laboratory for Engineering Microscopy, Department of Engineering Science, University of Oxford, OX1 3PJ, UK;1. School of Materials Engineering, Yancheng Institute of Technology, Yancheng 224002, PR China;2. School of Mechanical Engineering, Yancheng Institute of Technology, Yancheng 224002, PR China;1. State Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao 066004, P. R. China;2. Equipment Manufacturing College, Hebei University of Engineering, Handan 056038, P. R. China |
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| Abstract: | In the present paper, the distributed dislocation technique is applied for the analysis of anisotropic materials weakened by cracks. Eringen's theory of nonlocal elasticity of Helmholtz type is employed. The non-singular screw dislocation within anisotropic elasticity is distributed to model cracks of mode III. The corresponding dislocation density functions are evaluated using the proper crack-face boundary conditions. The nonlocal stress field within a plane weakened by cracks is determined. The crack opening displacement is also discussed within the framework of nonlocal elasticity. The stress singularity of the classical linear elasticity is removed by the introduction of the nonlocal theory of elasticity. The general anisotropic case and the special case of orthotropic material are studied. The effect of material orthotropy is presented for a crack which is not necessarily aligned with the principal orthotropy direction. |
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