Implicit and explicit time integration schemes in conjunction with the finite element method are presented for the transient response of highly non‐linear problems such as impact…
Abstract
Implicit and explicit time integration schemes in conjunction with the finite element method are presented for the transient response of highly non‐linear problems such as impact situations exhibiting important material dissipation. Surprisingly the implicit schemes lead to excellent convergence properties that make them a cost‐efficient alternative to explicit scheme generally advocated as the best choice for these problems. As numerical illustrations, we present here the academic impact between two flexible bodies, a long tube and a long plate, as well as a more industrial‐oriented application: the impact between a fan blade and a double casing.