A finite element study of the near crack tip deformation of a ductile material under mixed mode loading |
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| Institution: | 1. Kyoto University, Department of Mechanical Engineering and Science, Kyoto-daigaku-Katsura, Nishikyo-Ku, Kyoto 615-8540, Japan;2. Norwegian University of Science and Technology (NTNU), Department of Mechanical and Industrial Engineering, Richard Birkelands vei 2b, Trondheim, Norway;1. Department of Mechanical Engineering, Graphic Era Deemed to be University, Dehradun, Uttarakhand, India;2. Department of Mechanical Engineering, AAA College of Engineering and Technology, Sivakasi, Tamil Nadu, India;3. Department of Mechanical Engineering, GLA University, Mathura, U.P. 281406, India;1. Center of Excellence in Electrochemistry, School of Chemistry, College of Science, University of Tehran, Tehran, Iran;2. Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran;3. Department of Chemical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran;4. Biosensor Research Center, Endocrinology and Metabolism Molecular-Cellular Sciences Institute, Tehran University of Medical Sciences, Tehran, Iran;5. Department of Resin and Additives, Institute for Color Science and Technology, P.O. Box: 16765-654, Tehran, Iran |
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| Abstract: | In ductile fracture, voids near a crack tip play an important role. From this point of view, a large deformation finite element analysis has been made to study the deformation, stress and strain, and void ratio near the crack tip under mixed mode plane strain loading conditions, employing Gurson's constitutive equation which has taken into account the effects of void nucleation and growth. The results show that: (i) one corner of the crack tip sharpens while the other corner blunts, (ii) the stress and strain distributions except for the near crack tip region, can be superimposed by normalizing distance from the crack tip by a crack tip deformation length, i.e., a steady-state solution under a mixed mode condition has been obtained, (iii) the field near a crack tip can be divided into four characteristic fields (K field, HRR field, blunted crack tip field, and damaged region), and (iv) the strain and void volume fraction become concentrated in the sharpened part of a crack tip with increasing Mode II component. |
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