Explicit Verlet time-integration for a Nitsche-based approximation of elastodynamic contact problems

Advanced Modeling and Simulation in Engineering Sciences

Yves Renard¹  Franz Chouly² 

[1] ICJ UMR5208, LaMCoS UMR5259, Université de Lyon, INSA-Lyon;IMB UMR5584, Université Bourgogne Franche-Comté;

关键词: Unilateral contact;    Elastodynamics;    Nitsche’s method;    Explicit time-marching schemes;    Stability;    Explicit dynamics;   

DOI  :  10.1186/s40323-018-0124-5

来源: DOAJ

【 摘 要 】

Abstract The aim of the present paper is to study theoretically and numerically the Verlet scheme for the explicit time-integration of elastodynamic problems with a contact condition approximated by Nitsche’s method. This is a continuation of papers (Chouly et al. ESAIM Math Model Numer Anal 49(2), 481–502, 2015; Chouly et al. ESAIM Math Model Numer Anal 49(2), 503–528, 2015) where some implicit schemes (theta-scheme, Newmark and a new hybrid scheme) were proposed and proved to be well-posed and stable under appropriate conditions. A theoretical study of stability is carried out and then illustrated with both numerical experiments and numerical comparison to other existing discretizations of contact problems.

【 授权许可】

Unknown