A cohesive plastic and damage zone model for dynamic crack growth in rate-dependent materials |
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| Institution: | 1. CSIRO Petroleum, P.O. Box 3000, Glen Waverley, VIC. 3150, Australia;2. Centre for Advanced Materials Technology (CAMT), School of Aerospace, Mechanical and Mechatronic Engineering J07, The University of Sydney, Sydney, NSW 2006, Australia;1. Politecnico di Milano, Department of Mechanical Engineering, via la Masa 1, 20156 Milan, Italy;2. Department of Electromechanical, Systems & Metal Engineering, MST-DyMaLab, Ghent University, Technologiepark 46, B-9052 Zwijnaarde, Belgium;1. Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, United States;2. School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA, United States;1. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, PR China;2. Beijing Institute of Structure and Environment Engineering, Beijing, PR China;3. International Research Center for Computational Mechanics, PR China |
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| Abstract: | Mode I steady-state dynamic crack growth in rate-dependent viscoplastic solids containing damage, under small scale yielding conditions, is analyzed based on a modified cohesive zone model. A multi-scale approach is used to describe the entire non-linear zone consisting of a plastic region and a damage region, each of which has its own constitutive law. Traction in the damage region is characterized by a softening power-law, in terms of the ultimate strength, a softening index and a rate sensitivity factor. In the plastic region, the cohesive law is assumed to be both strain hardening and rate dependent. The critical crack opening displacement at the physical crack-tip controls crack growth. The governing integral equations are derived and solved by a collocation method combined with associated boundary conditions. Numerical results are presented for the traction and opening profiles along the cohesive zone, the fracture energy and lengths of the damage and non-linear zones at different crack speeds and for different material parameters. The importance of factors, such as material softening, plastic deformation, crack speed and viscosity, is identified by parametric studies. In addition, the competition of plastic flow and material damage, and its effect on crack growth, are discussed. |
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