Variational approach for nonsmooth elasto-plastic dynamics with contact and impacts

The objective of this article is the modeling and numerical simulation response elastoplastic structures to impacts. To end, a method proposed that takes into account one-sided contact (Signorini condition) impact phenomena together with plasticity in monolithic solver, while accounting for non-smooth character dynamics. formulation laws are based on inclusions normal cones convex sets, or equivalently, variational inequalities following pioneering work Moreau (1974) Halphen Nguyen (1975), who introduced assumptions dissipation generalized standard materials (GSM) framework associated strain hardening. time–stepping an extension Jean (1987) scheme nonsmooth discrete energy balance shows spurious damping can be suppressed practice unconditionally stable. Furthermore, finite-dimensional inequality at each time–step well–posed solved by optimization methods quadratic programs, providing interesting alternative return mapping algorithm coupled dedicated frictional method. paper completed illustrative examples impacts steel consisting beams.