Generalized contact and improved frictional heating in the material point method

Akhavan J (2011) The chemistry of explosives. Royal Society of Chemistry, London

Bardenhagen SG, Brackbill JU, Sulsky D (2000) The material point method for granular materials. Comput. Methods Appl Mech Eng 187:529–541

Bardenhagen SG, Brackbill JU, Sulsky DL (1998) Shear deformation in granular material. In: Proceedings of the 11th international detonation symposium, Snowmass Village, Colorado, pp 528–536

Bardenhagen SG, Guilkey JE, Roessig KM, Brackbill JU, Witzel WM, Foster JC (2001) An improved contact algorithm for the material point method and application to stress propagation in granular materials. Comput Model Eng Sci 2:509–522

Bardenhagen SG, Kober EM (2004) The generalized interpolation material point method. Comput Model Eng Sci 5:477–496

Field JE (1992) Hot spot ignition mechanisms for explosives. Acc Chem Res 25(11):489–496. doi: 10.1021/ar00023a002

Guo Y, Nairn JA (2006) Three-dimensional dynamic fracture analysis in the material point method. Comput Model Eng Sci 16:141–156

Homel M, Herbold EB (2016) Field-gradient partitioning for fracture and frictional contact in the material point method. Int J Numer Methods Eng 109(7):1013–1044

Huang P, Zhang X, Ma S, Huang X (2011) Contact algorithms for the material point method in impact and penetration simulation. Int J Numer Methods Eng 85(4):498–517. doi: 10.1002/nme.2981

Lemiale V, Hurmane A, Nairn JA (2010) Material point method simulation of equal channel angular pressing involving large plastic strain and contact through sharp corners. Comput Model Eng Sci 70(1):41–66

Nairn JA (2003) Material point method calculations with explicit cracks. Comput Model Eng Sci 4:649–664

Nairn JA (2007) Numerical implementation of imperfect interfaces. Comput Mater Sci 40:525–536

Nairn JA (2013) Modeling of imperfect interfaces in the material point method using multimaterial methods. Comput Model Eng Sci 92(3):271–299

Nairn JA, Guilkey JE (2015) Axisymmetric form of the generalized interpolation material point method. Int J Numer Methods Eng 101:127–147

Pan XF, Xu AG, Zhang GC, Zhang P, Zhu JS, Ma S, Zhang X (2008) Three-dimensional multi-mesh material point method for solving collision problems. Commun Theor Phys 49:1129–1138. doi: 10.1088/0253-6102/49/5/09

Sewell TD, Menikoff R, Bedrov D, Smith GD (2003) A molecular dynamics simulation study of elastic properties of hmx. J Chem Phys 119:7417–7426

Sulsky D, Chen Z, Schreyer HL (1994) A particle method for history-dependent materials. Comput Methods Appl Mech Eng 118:179–186

Wilkens ML (1999) Computer simulation of dynamic phenomena. Springer, New York

Williams JG, Patel Y, Blackman BRK (2010) A fracture mechanics analysis of cutting and machining. Eng Fract Mech 77(2):293–308