Application of a second-order Godunov-type finite difference scheme to a nonlinear elastodynamic problem

DOI10.1007/BF00370152zbMath0739.73042MaRDI QIDQ1185516

J. B. Haddow, J. L. Wegner, Lei Jiang

Publication date: 28 June 1992

Published in: Computational Mechanics (Search for Journal in Brave)

zbMATH Keywords

strain energy functionsimilarity solutionstransverse impactsimple tensionfinite amplitude plane motionhyperbolic system of four first-order partial differential equationshyperelastic string

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Finite difference methods applied to problems in solid mechanics (74S20) Initial-boundary value problems for first-order hyperbolic systems (35L50) Initial value problems for first-order hyperbolic systems (35L45) Strings (74K05)

Related Items (2)

Some aspects of thermodynamic effects in finite amplitude wave propagation in rubber-like solids ⋮ Numerical solution of multidimensional hyperbolic PDEs using defect correction on adaptive grids

Cites Work

• Unnamed Item
• Higher order Godunov methods for general systems of hyperbolic conservation laws
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Unloading Waves in a Plucked Hyperelastic String
• Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids

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