Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials |
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Authors: | SG Larsson AJ Carlsson |
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Institution: | Department of Strength of Materials and Solid Mechanics, The Royal Institute of Technology, Stockholm, Sweden |
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Abstract: | The plane strain elastic-plastic state at a crack tip is determined for compact tension, bend, double edge-cracked and centre-cracked specimens using a finite element method with triangular constant-strain elements. The solutions are found to differ by 10 to 30 per cent at the ASTM-limit as regards fracture surface displacement, normal stress and plastic zone size. In order to bring the boundary layer solution for the crack problem into agreement with the solution for a specific specimen one has to modify this solution. The modification consists of an addition to the boundary tractions for the boundary layer problem of tractions corresponding to the non-singular, constant second term in a series expansion of the normal stress parallel to the crack plane. |
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