A finite element analysis of shocks and finite-amplitude waves in one-dimensional hyperelastic bodies at finite strain |
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Authors: | RB Fost JT Oden LC Wellford |
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Institution: | Teledyne Brown Engineering Co., Huntsville, Alabama, U.S.A.;Texas Institute of Computational Mechanics, Univ. of Texas, Austin 78712, U.S.A. |
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Abstract: | The general theory of shock and acceleration waves in isotropic, incompressible, hyperelastic solids is used in conjunction with the concept of finite elements to construct discrete models of highly nonlinear wave phenomena in elastic rods. A numerical integration scheme which combines features of finite elements and the Lax-Wendroff method is introduced. Numerical calculations of the critical time for shock formulation are given. Numerical results obtained from representative cases are discussed. |
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