An energy‐consistent material‐point method for dynamic finite deformation plasticity

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Decoupling and balancing of space and time errors in the material point method (MPM) (2010, methodology): “Another example within the MPM literature of the trend to analyze the mathematical algorithmic properties of the choices made within the MPM framework is given by the work of Love and Sulsky [15, 16], in which the selection of the time-stepping algorithms employed within MPM were scrutinized.”
A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations (2011, methodology): “MPM and GIMP have been successfully used in simulation of a range of complicated engineering problems including finite deformation plasticity, thin membranes, cracks and fracture, sea ice dynamics, granular materials, multiscale problems, hypervelocity impact, and dynamic analysis of saturated porou”
Examination and Analysis of Implementation Choices within the Material Point Method (MPM) (2008, methodology): “Implicit time stepping schemes exist for MPM [Guilkey and Weiss (2003); Sulsky and Kaul (2004); Love and Sulsky (2006b)], however we choose to use the explicit Forward-Euler time discretization presented within the original MPM algorithm: vk+1i = v k i +aiΔt.”
Formulation of a dynamic material point method (MPM) for geomechanical problems (2013, methodology): “In 1991, FLIP was extended by Sulsky and Brackbill [158] to model problems involving interaction between elastic bodies and fluids.”