An Improved Contact Algorithm for the Material Point Method and Application to Stress Propagation in Granular Material

By Scott Bardenhagen, James Guilkey, K. M. Roessig, Jeremiah U. Brackbill, W. Witzel, J. Foster. 2001

305 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/278547f0c8de2b3e321b940147ea2c64d0879492

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In Computational Mechanics

Citations in the corpus

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”
Second‐order convected particle domain interpolation (CPDI2) with enrichment for weak discontinuities at material interfaces (2013, methodology): “A major advantage of the CPDI2 method in comparison with the conventional FEM is that the CPDI2 method enforces no-slip contact between bodies automatically without any further computational costs, and still accommodates multi-field contact algorithms such as that described in [2] at relatively mode”
Field‐gradient partitioning for fracture and frictional contact in the material point method (2017, methodology): “Using multiple velocity fields for separate bodies, frictional contact is readily achieved [33], and fracture can be simulated using either an explicit description of cracks [34, 35] or cohesive laws [36].”
The Generalized Interpolation Material Point Method (2004, background): “... stretching, [York, Sulsky, and Schreyer (1999)], landfill settlement, [Zhou, Stormont, and Chen (1999)], elastic vibrations, [Sulsky, Chen, and Schreyer (1994)], collisions, [Bardenhagen, Harstad, Maudlin, Gray, and Foster (1998); Sulsky, Chen, and Schreyer (1994); Sulsky and Schreyer (1996); Su”
A new method for material point method particle updates that reduces noise and enhances stability (2017, methodology): “Furthermore, a common approach to MPM when modeling particles of different materials having different densities (and hence different masses) is to use multiple velocity fields — one velocity field for each material type [24].”
The 3D Numerical Simulation for the Propagation Process of Multiple Pre-existing Flaws in Rock-Like Materials Subjected to Biaxial Compressive Loads (2016, methodology): “The material point method (MPM), which is called a particle-in-cell method, is a hybrid arbitrary Lagrangian/ Eulerian method suitable for modeling large deformations of history-dependent solids (York et al. 2000; Bardenhagen et al. 2001; Schreyer et al. 2002; Guo and Nairn 2006).”
Continuum modelling and simulation of granular flows through their many phases (2014, background): “MPM practitioners have simulated individual grains with MPM (Bardenhagen et al. 2000, 2001), however we are interested in simulating the response as a bulk material.”
Formulation of a dynamic material point method (MPM) for geomechanical problems (2013, methodology): “Furthermore, the algorithm is shown to be efficient in modeling interaction between solid bodies as well as shearing in granular materials [12].”