Two-parameter fracture assessment of surface cracked cylindrical shells during collapse |
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Authors: | B Skallerud E Berg |
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Affiliation: | a Department of Structural Engineering, The Norwegian University of Science and Technology, N-7491 Trondheim, Norway b Department of Mechanical Engineering, Government Engineering College, Thrissur, Kerala, India |
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Abstract: | The present study addresses the use of CTOD and T-stress in fracture assessments of surface cracked shell structures. A new software is developed for this purpose, denoted LINKpipe. It is based on a combination of a quadrilateral assumed natural deviatoric strain thin shell finite element and an improved linespring finite element. Plasticity is accounted for using stress resultants. A power law hardening model is used for shell and linespring materials. A co-rotational formulation is employed to represent nonlinear geometry effects. With this, one can carry out nonlinear fracture mechanics assessments in structures that show instabilities due buckling (local/global), ovalisation and large rigid body motion. Many constraint-measuring parameters have been proposed, with the Q-parameter or the T-stress being the most popular ones. Solid finite element meshing for complex structures such as pipes containing semi-elliptical surface cracks in order to compute Q is at present not a feasible approach. However, shell structures are most conveniently meshed with shell finite elements, and the linespring finite element is a natural way of accounting for surface cracks. The T-stress is readily obtained from the linespring membrane force and bending moment along the surface crack. In this study we present a new approach to analyse cracked shell structures subjected to large geometric changes. By numerical examples it is shown how geometric instabilities and fracture compete as governing failure mode. |
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Keywords: | Plasticity Large rotations Co-rotated formulation Assumed strain thin shell finite element Linespring finite element Nonlinear fracture mechanics Ductile crack growth |
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