抄録
We develop a particle method for nonlinear elastodynamics of compressible and incompressible materials from a direct discretization of their Lagrangian. This particle method is a Hamiltonian system with which holonomic constraints are accompanied in incompressible case. Symplectic schemes (the Störmer/Verlet scheme in compressible case and the RATTLE algorithm in incompressible case) are adopted to improve the quality of the particle method. Some numerical tests indicate the exellence of the method in conservation of mechanical energy besides that of linear and angular momenta.
