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Equilibrium and nonequilibrium thermomechanics for an effective pair potential used in smooth particle applied mechanics
Institution:1. University of California at Davis/Livermore and Lawrence Livermore National Laboratory, Livermore, CA 94551-7808, USA;2. Institute for Theoretical Physics, Technical University Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany;1. Institute of Biomedical Engineering, Department of Engineering Science, Old Road Campus Research Building, University of Oxford, Headington, Oxford OX3 7DQ, United Kingdom;2. Computer Science and Engineering, The Ohio State University, 2015 Neil Ave, Columbus, OH 43210, United States;3. Ludwig Institute for Cancer Research, University of Oxford, Nuffield Department of Medicine, Old Road Campus Research Building, Oxford OX3 7DQ, United Kingdom;4. Target Discovery Institute, NDM Research Building, University of Oxford, Old Road Campus, Headington OX3 7FZ, United Kingdom;5. Department of Biomedical Engineering, University of Virginia, Charlottesville, VA 22908, United States;1. Department of Biomedical Engineering, Virginia Tech-Wake Forest School of Biomedical Engineering and Sciences, Wake Forest Institute for Regenerative Medicine, 391 Technology Way, Winston-Salem, NC 27103, United States;2. Department of Social Sciences and Health Policy and Wake Forest Institute for Regenerative Medicine, Wake Forest School of Medicine, Center for Bioethics, Health, and Society and Graduate Program in Bioethics, Wake Forest University, Medical Center Blvd, Winston-Salem, NC 27157, United States
Abstract:The smooth-particle weighting functions used in numerical solutions of the thermomechanical continuum equations can be interpreted as weak pair potentials from the standpoint of statistical physics. We examine both equilibrium and nonequilibrium thermomechanical properties of many-body systems using a typical smooth particle potential, Lucy's, and discuss the implications for macroscopic continuum simulations.
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