Exte ension ns and d Benc chmark Testts of a Finite e Elem ment Solver S r based d on Loop L Subdiv S vision Eleme ents mas Jenn ni Thom ETH Zü ürich, Instittut für Baustoffe Betreue er: F. Witte el, N. Stoop Mai 2010, 41 Seitten The thin n shell finite e element solver of N. Stoop whic ch is based on Loop suubdivision elements e is exten nded by a Newmark N integration m method with adaptive time-steppinng and an im mproved collision n handling algorithm. An assesssment of the stability an accuraccy of the im mproved solver iss performed d by a rotation plate a and a pinch hed hemisph here test. T They unveil that the presentt system is reliable and numerica ally accurate. By a pla ate at rest iit is shown that the free bou undary conditions prop posed by C Cirack et al.. are disadv vantageouss because they t violate ene ergy conserrvation. The e improved collision ha andling algo orithm is asssessed by y two impact tessts, one forr vertex-triangle and o one for edge e-edge con ntacts. It is shown thatt the improved collision ha andling algo orithm is rob bust and acc curate. The e combinatioon of both, the collision handling algorithm and the adaptive e time-stepping are ca apable of haandling eve en highly chaotic systems ass those of crumpling m embranes.
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