Applications of Mathematics, Vol. 67, No. 6, pp. 775-804, 2022


On a new computational algorithm for impacts of elastic bodies

Hynek Štekbauer, Ivan Němec, Rostislav Lang, Daniel Burkart, Jiří Vala

Received May 31, 2021.   Published online May 30, 2022.

Abstract:  Computational modelling of contact problems is still one of the most difficult aspects of non-linear analysis in engineering mechanics. The article introduces an original efficient explicit algorithm for evaluation of impacts of bodies, satisfying the conservation of both momentum and energy exactly. The algorithm is described in its linearized 2-dimensional formulation in details, as open to numerous generalizations including 3-dimensional ones, and supplied by numerical examples obtained from its software implementation.
Keywords:  computational mechanics; contact problem; finite element method; explicit time integration algorithm
Classification MSC:  74M15, 74S05, 74S20


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Affiliations:   Hynek Štekbauer, Ivan Němec (corresponding author), Rostislav Lang, Daniel Burkart, Jiří Vala, Brno University of Technology, Faculty of Civil Engineering, Institute of Structural Mechanics, Veveří 331/95, 602 00 Brno, Czech Republic, e-mail: stekbauer.h@fce.vutbr.cz, nemec.i@fce.vutbr.cz, lang.r@fce.vutbr.cz, vala.j@fce.vutbr.cz


 
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