Keywords
- Shock Wave
- Shock Surface
- Lagrange Formula
- Finite Element Analogue
- Explicit Finite Difference Scheme
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References
J. T. Oden, Finite Elements of Nonlinear Continua, McGraw-Hill, N.Y. 1972.
J. T. Oden, Approximations and Numerical Analysis of Finite Deformations of Elastic Solids, Nonlinear Elasticity, Academic Press, N.Y., 1973, pp. 175–228.
J. T. Oden, Formulation and Application of Certain Primal and Mixed Finite Element Models of Finite Deformations of Elastic Bodies.
R. B. Frost, J. T. Oden, and L. C. Wellford, Jr., A Finite Element Analysis of Shock and Finite-Amplitude Waves in One-Dimensional Hyperelastic Bodies at Finite Strain, Int’l J. of Solids and Structures, (to appear).
J. T. Oden, J. E. Key, and R. B. Fost, A Note on the Analysis of Nonlinear Dynamics of Elastic Membranes by the Finite Element Method, Computers and Structures, Vol. 4, No. 2, 1974, pp. 445–452.
L. C. Wellford, Jr., and J. T. Oden, On Some Finite Element Methods for Certain Nonlinear Second Order Hyperbolic Equations, TICOM Report, 74–7, Austin, 1974.
L. C. Wellford, Jr., and J. T. Oden, A Theory of Discontinuous Finite-Element Galerkin Approximations of Shock Waves in Nonlinear Elastic Solids, TICOM Report, 74–6, Austin, 1974.
J. T. Oden, and L. C. Wellford, Jr., Finite Element Approximations of a Class of Nonlinear Two-Point Boundary Value Problems in Elasticity, TICOM Report, 74–5, Austin, 1974.
L. C. Wellford, Jr., and J. T. Oden, A Theory of Discontinuous Finite-Element Galerkin Approximations of Nonlinear Wave Phenomena, TICOM Report, 74–6, Austin, 1974.
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Oden, J.T., Wellford, L.C. (1975). Continuous and discontinuous finite element approximations of shock waves in nonlinear elastic solids. In: Oden, J.T. (eds) Computational Mechanics. Lecture Notes in Mathematics, vol 461. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074153
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DOI: https://doi.org/10.1007/BFb0074153
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