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Modeling of cavity coalescence during tensile deformation
Affiliation:1. Silver and Baryte Ores Mining Co., S.A., 21A Amerikis Str., 106 72 Athens, Greece;2. Air Force Research Laboratory, Materials and Manufacturing Directorate, AFRL/MLLM, Wright-Patterson Air Force Base, OH 45433-7817, USA;1. CIMOSM, ISEL, IPL - Centro de Investigação em Modelação e Optimização de Sistemas Multifuncionais, Instituto Superior de Engenharia de Lisboa, R. Conselheiro Emídio Navarro 1, 1959-007 Lisboa, Portugal;2. IDMEC, IST -Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal;1. Department of Physics, University of Maryland, College Park, MD 20742, USA;2. Department of Physics, Rutgers University, Camden, NJ 08102, USA;3. Department of Materials Science & Engineering, University of Virginia, Charlottesville, VA 22904, USA;1. School of Engineering, Physics and Mathematics, University of Dundee, Dundee, DD1 4HN, United Kingdom;2. Institute for Infrastructure & Environment, Heriot-Watt University, Edinburgh, EH14 4AS, United Kingdom;1. CEA Cadarache, DEN/DER/SESI/LEMS, FR-13108 Saint-Paul-lez-Durance, France;2. Aix-Marseille Université, CNRS, ECM, LMA UPR 7051, FR-13453 Marseille, France;3. GE Power, Brown Boveri Strasse 7, CH-5401 Baden, Switzerland;4. Aix-Marseille Université, CNRS, ECM, M2P2 UMR 7340, FR-13451 Marseille, France;5. CEA Cadarache, DEN/DER, FR-13108 Saint-Paul-lez-Durance, France;1. Department of Mechanical Engineering, Iowa State University, Ames, IA 50011, USA;2. Center for Advanced Host Defense Immunobiotics and Translational Comparative Medicine, Iowa State University, Ames, IA 50011, USA
Abstract:The effect of material properties such as the cavity growth rate and initial cavity population on cavity coalescence during uniaxial tensile deformation was determined. To this end, a two-dimensional model that treats the growth of a random array of spherical cavities inside a deforming tension specimen was developed. Simulation results included predictions of the conditions under which cavity coalescence occurs, the variation of average cavity radius and fraction of cavities which have coalesced as a function of strain, and the evolution of cavity size distribution as a function of strain, cavity growth rate, and cavity population. For a given cavity density, it was found that the fraction of cavities which has coalesced is independent of the cavity growth rate and varies linearly with the cavity volume fraction; a relationship between the fraction of coalesced cavities and the cavity volume fraction was established from the simulation results. In addition, simulation predictions of average cavity radius as a function of strain were compared to previous relations for cavitation under conditions involving growth and coalescence. Predictions of average cavity size as a function of strain from the present work gave good agreement with previous experimental and theoretical work of Stowell and Pilling.
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