Partitioned formulation of contact-impact problems with stabilized contact constraints and reciprocal mass matrices

0543483 - ÚT 2022 RIV GB eng J - Journal Article
González, J. A. - Kopačka, Ján - Kolman, Radek - Park, K.C.
Partitioned formulation of contact-impact problems with stabilized contact constraints and reciprocal mass matrices.
International Journal for Numerical Methods in Engineering. Roč. 122, č. 17 (2021), s. 4609-4636. ISSN 0029-5981. E-ISSN 1097-0207
R&D Projects: GA ČR(CZ) GA19-14237S; GA MŠMT(CZ) EF15_003/0000493
Institutional support: RVO:61388998
Keywords : bipenalty contact * explicit time integration * inverse mass matrix * localized Lagrange multipliers * partitioned analysis
OECD category: Applied mechanics
Impact factor: 3.021, year: 2021
Method of publishing: Limited access
https://onlinelibrary.wiley.com/doi/10.1002/nme.6739

This work presents an efficient and accuracy-improved time explicit solution methodology for the simulation of contact-impact problems with finite elements. The proposed solution process combines four different existent techniques. First, the contact constraints are modeled by a bipenalty contact-impact formulation that incorporates stiffness and mass penalties preserving the stability limit of contact-free problems for efficient explicit time integration. Second, a method of localized Lagrange multipliers is employed, which facilitates the partitioned governing equations for each substructure along with the completely localized contact penalty forces pertaining to each free substructure. Third, a method for the direct construction of sparse inverse mass matrices of the free bodies in contact is combined with the localized Lagrange multipliers approach. Finally, an element-by-element mass matrix scaling technique that allows the extension of the time integration step is adopted to improve the overall performance of the algorithm. A judicious synthesis of the four numerical techniques has resulted in an increased stable explicit step-size that boosts the performance of the bipenalty method for contact problems. Classical contact-impact numerical examples are used to demonstrate the effectiveness of the proposed methodology.
Permanent Link: http://hdl.handle.net/11104/0323258