A Finite Element Analysis of Shock and Finite-Amplitude Waves in One-Dimensional Hyperelastic Bodies at Finite Strain
ALABAMA UNIV IN HUNTSVILLE SCHOOL OF GRADUATE STUDIES AND RESEARCH
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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.
- Numerical Mathematics