[1] Wilkins, M. L. Methods in Computational Physics, Vol. 3, Chapter Calculation of Elastic-Plastic Flow, Academic Press, New York, 211-263(1964)
[2] Hill, D. J., Pullin, D., Ortiz, M., and Meiron, D. An Eulerian hybrid WENO centered-difference solver for elastic-plastic solids. Journal of Computational Physics, 229, 9053-9072(2010)
[3] Miller, G. H. and Collela, P. A high-order Eulerian Godunov method for elastic-plastic flow in solids. Journal of Computational Physics, 167, 131-176(2001)
[4] Trangenstein, J. A. and Collela, P. A high-order Godunov method for modeling finite deformation in elastic-plastic solids. Communications on Pure and Applied Mathematics, 44, 41-100(1991)
[5] Barton, P. T., Drikakis, D., Romenski, E., and Titarev, V. A. Exact and approximate solutions of Riemann problems in non-linear elasticity. Journal of Computational Physics, 228, 7046-7068(2009)
[6] Menshov, I., Mischenko, A., and Serezhkin, A. An Eulerian Godunov-type scheme for calculation of the elastic-plastic flow equations with moving grids. The 6th European Congress on Computational Methods in Applied Sciences and Engineering 2012(ECCOMAS 2012), Vienna University of Technology, Vienna, 4099-4118(2012)
[7] Burton, D. E., Carney, T. C., Morgan, N. R., Sambasivan, S. K., and Shashkov, M. J. A cellcentered Lagrangian Godunov-like method for solid dynamics. Computers and Fluids, 83, 33-47(2013)
[8] Kluth, G. and Desprès, B. Discretization of hyperelasticity on unstructured mesh with a cellcentered Lagrangian scheme. Journal of Computational Physics, 229, 9092-9118(2010)
[9] Maire, P. H., Abgrall, R., Breil, J., Loubère, R., and Rebourcet, B. A nominally second-order cellcentered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids. Journal of Computational Physics, 235, 626-665(2013)
[10] Sambasivan, S. K., Loubere, R., and Shashkov, M. J. A finite volume Lagrangian cell-centered mimetic approach for computing elasto-plastic deformation of solids in general unstructed grids.The 6th European Congress on Computational Methods in Applied Sciences and Engineering 2012(ECCOMAS 2012), Vienna University of Technology, Vienna (2012)
[11] Gavrilyuk, S. L., Favrie, N., and Saurel, R. Modeling wave dynamics of compressible elastic materials. Journal of Computational Physics, 227, 2941-2969(2008)
[12] Desprès, B. A geometrical approach to non-conservative shocks elastoplastic shocks. Archive for Rational Mechanics and Analysis, 186, 275-308(2007)
[13] Cheng, J. B., Eleuterio, F. T., Song, J., Ming, Y., and Tang, W. J. A high-order cell-centered Lagrangian scheme for one-dimensional elastic-plastic problems. Computer and Fluids, 122, 136-152(2015)
[14] Eleuterio, F. T. Riemann Solvers and Numerical Methods for Fluid Dynamics, Springer, London/New York (1997)
[15] Jiang, G. S. and Shu, C. W. Efficient implementation of weighted ENO schemes. Journal of Computational Physics, 126, 202-228(1996)
[16] Perthame, B. and Shu, C. W. On positivity preserving finite volume schemes for Euler equations. Numerische Mathematik, 73, 119-130(1996)
[17] Zhang, X. and Shu, C. W. On positivity preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. Journal of Computational Physics, 229, 8918-8934(2010)
[18] Zhang, X. and Shu, C. W. Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. Journal of Computational Physics, 230, 1238-1248(2011)
[19] Cheng, J. and Shu, C. W. Positivity-preserving Lagrangian scheme for multi-material compressible flow. Journal of Computational Physics, 257, 143-168(2014)
[20] Roache, P. J. Code verification by the method of manufactured solutions. Journal of Fluids Engineering, 124, 4-10(2002)
[21] Salari, K. and Knupp, P. Code Verification by the Method of Manufactured Solutions, Sandia Report, SAND2000-1444, Sandia National Laboratories, Albuquerque (2000)
[22] Maire, P. H. and Breil, J. A second-order cell-centered Lagrangian scheme for two-dimensional compressible flow problems. International Journal for Numerical Methods in Fluids, 56, 1417-1423(2008)