Geodesic
On a new computational algorithm for impacts of elastic bodies
Applications of Mathematics, Tome 67 (2022) no. 6, pp. 775-804.

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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.
DOI : 10.21136/AM.2022.0129-21
Classification : 74M15, 74S05, 74S20
Keywords: computational mechanics; contact problem; finite element method; explicit time integration algorithm 
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     author = {\v{S}tekbauer, Hynek and N\v{e}mec, Ivan and Lang, Rostislav and Burkart, Daniel and Vala, Ji\v{r}{\'\i}},
     title = {On a new computational algorithm for impacts of elastic bodies},
     journal = {Applications of Mathematics},
     pages = {775--804},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0129-21/}
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Štekbauer, Hynek; Němec, Ivan; Lang, Rostislav; Burkart, Daniel; Vala, Jiří. On a new computational algorithm for impacts of elastic bodies. Applications of Mathematics, Tome 67 (2022) no. 6, pp. 775-804. doi : 10.21136/AM.2022.0129-21. http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0129-21/

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