Abstract
LPFDM (Lagrangian Particle Finite Difference Method) is presented for analyzing large deformations of soils. The explicit time-marching solution scheme of LPFDM, in which no global matrix is formed, reduces the computational time considerably. All Lagrangian parameters calculated at each time step are carried by Lagrangian points, which, as a cluster, describe a mass of the material. The updated Lagrangian parameters are then mapped back, for the next calculation cycle, on the stationary Eulerian lattice. LPFDM is thus viewed as an Eulerian way of describing solid motions (LPM, Sulsky et al.) obtained through the Fast-Lagrangian scheme of calculation (FLAC, Cundall), and retains the merits of both FLAC and LPM.
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