Damage Evolution Equation Considering Three Dimensional Growth of Void

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概要

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• During plastic deformation, effects of microscopic voids on macroscopic mechanical behavior are important, because ductile fracture of metal materials occurs through nucleation, growth and coalescence of voids. Macroscopic anisotropy is also caused by distributions of voids and it depends on strain history, this is because growth behavior of voids is influenced by strain direction. In order to predict deformation or fracture behavior considering these effects of voids, numerical simulation using a constitutive equation which represents the influences of voids by internal state variables is required. In this paper, an anisotropic evolution equation of damage tensor considering three dimensional growth of voids is proposed. The theory is based on anisotropic Gurson's yield function which is established by substituting net stress tensor proposed by Murakami and Ohno into Gurson's yield function. Thermodynamical consideration and internal state variable theory are also used to derive the evolution equation. The matrix material is assumed to be elastic perfectly plastic solids in order to neglect work hardening and focus attention on the growth behavior of the voids. The accuracy of the presented theory is validated by using finite element analysis to unit cell model postulating regularly arrangement of voids. It is compared with numerical integration of the presented constitutive equation under proportional strain history with various strain ratios, and it is shown to be in good agreement with the theory.

著者

• IIZUKA Makoto

  Department of Mechanical Systems Engineering, Tokyo University of Agriculture and Technology

• OSHITA Kenichi

  Institute of Engineering division, Tokyo University of Agriculture and Technology

• NAGAKI Shigeru

  Institute of Engineering division, Tokyo University of Agriculture and Technology

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• Damage Evolution Equation Considering Three Dimensional Growth of Void

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