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A numerical algorithm for elasto-plastic material deformation

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Abstract

We present the numerical algorithm for the model for high-strain rate deformation in hyperelastic- viscoplastic materials based on a fully conservative Eulerian formulation by Plohr and Sharp. We use a hyperelastic equation of state and the modi¯ed Steinberg and Lund's rate dependent plasticity model for plasticity. A two-dimensional approximate Riemann solver is constructed in an unsplit manner to resolve the complex wave structure and com-bined with the second order TVD °ux. Numerical results are also presented.

참고문헌 (15)

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  4. "The Riemann Problem for Fluid Flow of Real Mate-rials", 61, pp.75~130 (1989)
  5. "Mathematical Modeling of Plasticity in Metals", 11, pp.95~120 (1996)
  6. "A Conservative Eulerian Formulation of the Equations for Elastic Flow", 9, pp.481~499 (1988)
  7. "A Conservative Formulation for Plasticity", 13, pp.462~493 (1992)
  8. "On the Coupling of Pressure and Deviatoric Stress in Hyperelastic Materials Proceedings of the 13th Army Symposium on Solid Mechanics" (1994)
  9. "ed Approach to Finite Deformation Elastoplas-tic Analysis Based on the Use of Hyperelastic Constitutive Relations", pp.221~245 (1985)
  10. "The weighted average ?ux method applied to the Euler equations", pp.499~530 (1992)
  11. "The weighted average ?ux method for hyperbolic conservation laws", pp.401~418 (1989)
  12. "A Higher-Order Godunov Method for Modeling Finite Deformation in Elastic-Plastic Solids", pp.41~100 (1991)
  13. "Conservation Laws, Coordinate Transformations, and Di??erential Forms", pp.471~477 (1996), World Scienti?c Publishers,
  14. "Thermoelasticity Theory of Stressed Crystals and Higher-Order Elas-tic Constants", pp.301~403 (1970), Academic Press
  15. "A Conservative Eulerian Numerical Scheme for Elasto-Plasticity and Application to Plate Impact Prob-lems", pp.285~308 (1993)

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