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The description of elasto-damage to fracture process of structures using component assembling model and comparison with cohesive zone model |
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Abstract The responses of structures originate from those of materials. The damage and failure process of structure corresponds to the deterioration of materials essentially. Considering the microscopic deformation mechanism of materials, based on pair functional potentials and Cauchy-Born rule, component assembling model is developed with two kinds of components, spring-buddle and cubage components. Since the essence of damage and fracture is the decrease and loss of atomic bonding force in microscopic and that the spring-buddle component is abstracted from the atomic bonds in the same direction, damage can be reflected by the force response function of spring-buddle components. Assembling the responses of two kinds of components, the elasto-damage constitutive equations are derived. This model can describe the whole deformation process of elastic, damage and failure of materials consistently. It is coded using the user subroutine UMAT and then implemented in ABAQUS to simulate the response of structures. In this paper, a numerical simulation of three point bending beam with precrack is performed to describe the crack propagation process. Comparing the response of structure using the present model with that obtained by the cohesive zone model, the stress-displacement curve are given by the present model and compared with that assumed in cohesive zone model, and a physical explanation is given to the crack propagation process in terms of damage evolution of materials.
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Received: 19 April 2012
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