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This paper modifies the Gurson-Tvergaard-Needleman (GTN) model, originally limited to depicting the microvoids evolution under monotonic loading, into a constitutive model capable of reflecting the effect of alternating loads, and compiles a VUMAT user subroutine in the Abaqus/Explicit to calculate the microvoids evolution and mechanical behavior of materials under specified stress triaxiality. Before the calculation, the parameters of the modified GTN model were calibrated by the finite-element cell model. The results show that the modified GTN model can rationally describe the mechanical behavior of materials with microvoid evolution under uniaxial and multiaxial cyclic load, and that the void evolution law under cyclic load is closely related to the stress state. The research findings shed new light on damage theories.
modified gurson-tvergaard-needleman (GTN) model, stress triaxiality, cell model, void evolution, cyclic load, ratcheting effect
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