Solution of large deformation contact problems with friction between Blatz–Ko hyperelastic bodies

Abstract

The present paper is devoted to the analysis of the contact problems with Coulomb friction and large deformation between two hyperelastic bodies. One approach to separate the material nonlinearity and contact nonlinearity is presented. The total Lagrangian formulation is adopted to describe the geometrically nonlinear behavior. Nondifferentiable contact potentials are regularized by means of the augmented Lagrangian method. Numerical examples are carried out in two cases: rigid-deformable contact and deformable-deformable contact with large slips. The numerical results prove that the proposed approach is robust and efficient concerning numerical stability.

Bi-First: A simple and efficient algorithm to identify dissipated energy in impact problems

“…Many application examples, in static or quasi-static cases, have been carried out using the present method [25,27,28]. To illustrate the behavior of a contact/impact simulation by the Bi-First algorithm described above, we consider two example applications.…”

2d Frictional B-Spline Smoothed Mortar Contact Problems Part I: Matching Phase

“…The algorithmic method and its theoretical expression are detailed in [24,30,66]. Non-penetration conditions will be applied on the integration points of the slave's segments and not on the slave nodes as for the NTS approach ( Figure 9).…”

The Yeoh model applied to the modeling of large deformation contact/impact problems

“…First, the vector R is determined using the bi-potential method in a reduced system, involving only contact nodes. The reader can refer to [3,4,17] for more details on the bi-potential method. Then, the vector ∆u is computed over the whole structure, using contact reactions as external loadings.…”

“…De Saxcé and Feng [3] have proposed a bi-potential method combined with an augmented Lagrangian formulation. Feng et al [4] have…”