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Coalescence of voids by internal necking: Theoretical estimates and numerical results
Institution:1. Sorbonne Universités, UPMC Univ Paris 06, CNRS, UMR 7190, Institut Jean Le Rond d''Alembert, F-75005 Paris, France;2. Department of Aerospace Engineering, Texas A&M University, College Station, TX 77843-3141, USA;1. Mechanical Engineering, Southern Illinois University, Edwardsville, IL 62026, United States;2. Department of Aerospace Engineering, Texas A&M University, College Station, TX 77843-3141, United States;3. Department of Materials Science and Engineering, Texas A&M University, College Station, TX 77843-3141, United States;1. Mines ParisTech, Centre des matériaux, CNRS UMR 7633, BP 87, F-91003 Evry cedex, France;2. Laboratoire de Mécanique des Solides, CNRS UMR7649, École Polytechnique, ParisTech, 91128 Palaiseau Cedex, France;1. Department of Mechanical Engineering, University of Akron, Akron, OH, USA;2. Bechtel Marine Propulsion Corporation, West Mifflin, PA, USA
Abstract:Upper-bound estimates and supposedly exact numerical results are obtained for the limit loads associated with cylindrical cells containing voids and subjected to boundary conditions that are consistent with post-localization kinematics in porous plastic solids. When supplemented with evolution equations for the microstructural variables, the results can be used in the modeling of void coalescence by internal necking in ductile materials.
Keywords:Coalescence  Porous ductile solids  Numerical limit-analysis  Localization  Homogenization
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