Studies of numerical stabilities in contact problems on practical applications
The computer calculation for numerical analysis rounds off error using a finite digit computer.Most difficulties entailed in the unstable numerical analysis of contact problems arise from the roundoff error using finite digits,especially when solving elastic body kinematic models.The authors classified contact problems associated with roundoff error into three categories: contact searches,contact mechanisms,and contact solutions.A contact search can be further classified as a classical local search by geometry(Shi,1989),a global search(Shi,2013)with set theory,or an optimal search using linear programming(Boon et al.,2014).The methods for modeling the contact mechanisms of an elastic body are classified as the analytical method,the direct method,the Lagrange multiplier(Simo et al.,1985),the penalty method(Shi,1984),and the augmented Lagrangian method(Lin et al.,1995;Beabanakiet al.,2005; Shao,2011)from the perspective of roundoff error.The methods for modeling the contact solutions of motion are classified into the explicit method,the combined explicit / implicit method,and the implicit method.The authors present the reasons for unstable problems in contact problems in elastic bodies and countermeasures for several samples by DDA.
T.SASAKI I.HAGIWARA Y.OHNISHI T.KOYAMA S.MIKI
Suncoh Consultants Co. Ltd., Tokyo, Japan Kansai University, Osaka, Japan KisoJiban Consultants Co. Ltd., Tokyo, Japan
国际会议
The 12th International Conference on Analysis of Discontinuous Deformation(第12届非连续变形分析国际大会)
武汉
英文
3-11
2015-10-16（万方平台首次上网日期，不代表论文的发表时间）