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Lattice element method and its applications

Lattice element method (LEM) is developed as a class of discrete element method (DEM), where structure is represented as an assembly of one dimensional elements (Figure 1). Many various models for initiation and propagation of multiple fractures were constructed from this idea. The scope of the method is wide, including failure and fracturing of the various materials in statics or dynamics, multiphysics with volumetric fluid structure interaction such as porous media, thermodynamics etc. The main distinction between the solvers in lattice element method is important. Namely, one type of solvers include lattice element removal which is computed by sequentially linear analysis mimicking the nonlinear response. The other one is the true nonlinear analysis solved by incremental iterative procedures such as Newton method. The latter usually suffers from negative stiffness terms and divergence of the algorithm. The remedy for this problem lies in the technology of embedded strong discontinuities coupled with lattice elements

Fracture mechanics ; Lattice element method

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