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Micromechanics-based model for trends in toughness of ductile metals
Affiliation:1. Department of Materials Science & Engineering, Texas A & M University, College Station, TX, USA;2. Department of Mechanical and Aerospace Engineering, University of Florida/REEF, Shalimar, FL, USA;1. School of Mechanical Engineering, Xi''an Jiaotong University, 28 Xianning West Road, Xi''an, Shaanxi 710049, China;2. Institute for Forming Technology and Lightweight Construction, TU Dortmund University, Baroper Str. 303, Dortmund 44227, Germany;3. Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology (KAIST), 291 Daehak-ro, Yuseong-gu, Daejeon, 305-701, South Korea;4. School of Engineering, Deakin University, Waurn Ponds, VIC 3216, Australia
Abstract:Relations between fracture toughness and microstructural details have been calculated for ductile materials based on a dilatational plasticity constitutive model that has recently been proposed. The model generalizes the Gurson model to account for both void growth and coalescence with explicit dependence on void shape and distribution effects. Based on a small scale yielding formulation of crack growth, toughness trends are determined as a function of yield stress, strain-hardening, initial porosity, void shape and spacing as well as void spacing anisotropy. Distinctions are drawn between the engineering fracture toughness, which is typically associated with 0.2 mm of crack growth, and the theoretical toughness based on coalescence of the crack tip with the first void ahead of it. Comparison with one set of experimental data for a steel is made for which a fairly complete characterization of the microstructure is available.
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