Material Point Method Calculations with Explicit Cracks

By J. Nairn. 2003

253 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/1276dbb7b9905cbbf1479babb7fc2f81ab67e61f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Field‐gradient partitioning for fracture and frictional contact in the material point method (2017, methodology): “Partitioning of material into two fields around a fracture depends on whether the crack lies between a particle and a node [34]: (a) explicitly defined fracture in a plane of material, (b) particle partitioning at top center node, and (c) particle partitioning at bottom center node.”
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”
A COUPLED MPM-FDM ANALYSIS METHOD FOR MULTI-PHASE ELASTO-PLASTIC SOILS (2010, methodology): “It is worth noting that it is possible to improve the numerical solutions by employing the newer algorithms (e.g., Sulsky et al., 1995; Nairn, 2003) and the other discretization scheme (e.g., Bardenhagen and Kober, 2004).”
A new method for material point method particle updates that reduces noise and enhances stability (2017, background): “A partial list includes modeling complex biological structures [1] (including resolving cellular structure of wood [2–4]), granular materials [5], land slides and avalanches [6], explosive welding [7], cutting simulations [8, 9], sea ice dynamics [10], snow dynamics [11] and fracture simulations [12”
iGIMP: An implicit generalised interpolation material point method for large deformations (2017, background): “Since its inception, the MPM has been developed and improved as well as being used in a number of applications including granular materials [41,50,80,81], fracture [16,25,43,69,70,82] and geotechnical applications [20,21,37,36,42,46,54,55,63,68,72,83–86].”
Modeling Imperfect Interfaces in the Material PointMethod using Multimaterial Methods (2013, methodology): “Prior work on imperfect interfaces in MPM implemented them on explicit cracks (Nairn [2007]). That paper did not address the need to correct contact area by relative volumes, to account for tilt in irregular meshes, or to limit forces for stiff interfaces. Those corrections, which are derived above,”
Formulation of a dynamic material point method (MPM) for geomechanical problems (2013, methodology): “It is also observed that Bardenhagen’s algorithm tends to slowly increase energy with time [126], a feature that is not desired in numerical procedures.”
Dark, Beyond Deep: A Paradigm Shift to Cognitive AI with Humanlike Common Sense (2020, methodology): “[421] John A Nairn, Material point method calculations with explicit cracks, Computer Modeling in Engineering and Sciences 4 (6) (2003) 649– 664.”
Material point method with enriched shape function for crack problems (2017, methodology): “As the conclusion in CRAMP [42], the recommendation is that the EMPM/EGIMP calculations of J integral should use a small path.”