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Analytical solution to 1D nonlinear elastodynamics with general constitutive laws
Institution:1. Aix-Marseille Univ, CNRS, Centrale Marseille, LMA, Marseille, France;2. Centrale Marseille, CNRS, Aix-Marseille Univ, M2P2 UMR 7340, 13451 Marseille Cedex 20, France;3. Aix-Marseille Univ, UMR CNRS 7343, IUSTI, Polytech Marseille, 13453 Marseille Cedex 13, France;1. Center for Mathematical Analysis, Geometry, and Dynamical Systems, Departamento de Matemática, Instituto Superior Técnico, 1049-001 Lisboa, Portugal;2. King Abdullah University of Science and Technology (KAUST), CSMSE Division, Thuwal 23955-6900, Saudi Arabia;3. KAUST SRI, Uncertainty Quantification Center in Computational Science and Engineering, Saudi Arabia;1. Institute for Scientific Computation, Texas A&M University, College Station, TX 77843-3368, USA;2. Department of Computational Technologies, North-Eastern Federal University, Yakutsk, Republic of Sakha (Yakutia) 677980, Russia;3. Department of Mathematics, The Chinese University of Hong Kong (CUHK), Hong Kong;4. Department of Mathematics & Institute for Scientific Computation (ISC), Texas A&M University, College Station, TX, USA;5. Harold Vance Department of Petroleum Engineering, Texas A&M University, College Station, TX, USA;1. U.S. Army Research Laboratory, Weapons and Materials Research Directorate, Aberdeen Proving Ground, MD 21005, USA;2. Department of Mathematics and Computer Science, University of San Diego, 5998 Alcalá Park, San Diego, CA 92110, USA;1. Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia;2. University of Leeds, Leeds, United Kingdom
Abstract:
Keywords:Elastic waves  Nonlinear elasticity  Riemann problem
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