Microscopic Damage Model Based on Two-parameter Yield Criterion
ZENG Jiaxing1, LIU Jianxiong1,*, WAN Xiangming1,2, JIA Youdong1, LIANG Yongxin1
1 Faculty of Mechanical and Electrical Engineering, Kunming University of Science and Technology, Kunming 650500, China 2 City College, Kunming University of Science and Technology, Kunming 650051, China
Abstract: The ductile fracture of plastic metal originates from the development of pores. Analyzing the evolution process of pores and establishing a reasonable damage model facilitates the study of deformation and fracture mechanisms of plastic metal. Two kinds of high-quality carbon structural steels were subjected to uniaxial tensile test. The micro fracture morphology of tensile fracture specimens of the two materials was observed by scanning electron microscope (SEM). From the perspective of vacancy condensation, the nucleation mechanism of voids in the absence of inclusions or second phase particles was analyzed. Considering the influence of hydrostatic pressure on the evolution of pores, based on a two-parameter yield criterion that includes the first invariant of the stress tensor and the second invariant of the deviatoric stress tensor, expressions for plastic dissipation power, microscopic strain rate, and macroscopic stress were derived. On this basis, a macroscopic yield function containing microscopic damage parameters (void volume fraction) was established. When using tensile and compressive yield stresses to define material parameters α and K, the model can be transformed into the Lee model and Gurson model. In addition, this model can also describe the essence of the deterioration of plastic metal mechanical properties caused by void evolution, and has universality in studying the mechanical mechanism of ductile fracture caused by void evolution.
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2026, Vol. 40 
