Uzawa algorithm to solve elastic and elastic–plastic fretting wear problems within the bipotential framework

Ning, Po; Feng, Zhi-Qiang; Rojas-Quintero, Juan Antonio; Zhou, Yang-Jing; Peng, Lei

doi:10.1007/s00466-018-1567-8

Cited by 11 publications

(3 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Compared to the traditional approach, the bi-potential method couples the two variational inequalities of the unilateral contact and friction law into one single displacement based variational principle with one unique inequality. Introduced in the 1990s, the approach has been recently extended to problems involving hyperelatic or elastic-to-plastic contact [33][34][35] with interface wear [36,37]. In the area of adhesive contact modelling, the bi-potential theory has been recently applied to solve 2D interface adhesion between elastic materials [38].…”

Section: Introductionmentioning

confidence: 99%

A bi-potential contact formulation for recoverable adhesion between soft bodies based on the RCC interface model

Joli

et al. 2022

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

An extended, ready-to-implement 3D model for quasi-industrial problems of contact with friction and recoverable interface adhesion between soft material is formulated using the Raous-Cangémi-Cocou (RCC) interface model and a bi-potential based resolution method. According to the RCC description, the recoverable adhesive interface behaviour derives from a free surface energy and a surface dissipation pseudo-potential. The obtained interface law describes both the de-bonding process of adhesive links due to tangential and normal interface deformation, and reversely, the bonding process that takes place when two surfaces approach close enough. We then propose an associated formulation coupling 3D extended interface law and Blatz-Ko hyperelastic material, that enables modelling large deformations of foam type soft matters under conditions of contact and friction with recoverable adhesion. In the end, the subsequent local contact nonlinear equations are solved using a Newton-like algorithm within the bi-potential framework. Numerical examples are performed to demonstrate the capacity of the proposed approach.

show abstract

Section: Introductionmentioning

confidence: 99%

A bi-potential contact formulation for recoverable adhesion between soft bodies based on the RCC interface model

Joli

et al. 2022

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

show abstract

“…Based on the augmented Lagrangian method, we propse a bipotential theory which couples the two variational inequalities of the unilateral contact and friction law into one single displacement based variational principle with one unique inequality. First introduced in the 1990s, the approach has recently been extended to problems involving elastic-plastic contact and friction [3,20], and interface wear [14,15].…”

Section: Introductionmentioning

confidence: 99%

Simulation of Adhesive Frictional Contact of Soft Materials by Bi-Potential Method

Hu¹,

Yu²,

Feng³

2021

14th WCCM-ECCOMAS Congress

View full text Add to dashboard Cite

We propose a numerical formulation for the simulation of frictional contact with interfacial adhesion between soft bodies. In this work, the adhesive interface behaviour derives from a free surface energy and a pseudo-potential of the surface dissipation, which describe both the de-bonding process of the adhesive links due to tangential and normal interface deformation. Subsequently, a complete contact and friction law with the account for interface adhesion is formulated. Then the local contact nonlinear equations are solved using a Newton-like algorithm within the bi-potential framework. Numerical examples are performed to demonstrate the capacity of the proposed approach.

show abstract

“…In comparison to the classical methods, the bipotential framework combines two variational inequalities of the unilateral contact and friction law into a single displacement based variational principle with a single inequality. First introduced in the 1990s, it has recently been extended to problems involving hyperelastic or elastic-plastic contact and impact [34][35][36][37], and interface wear [38,39]. The bi-potential contact algorithm implemented in this work, according to the basic relations of contact geometry, belongs to the category of "node-to-segment" (NTS) approaches.…”

Section: Introductionmentioning

confidence: 99%

A bi-potential contact formulation of orthotropic adhesion between soft bodies

Renaud

et al. 2021

Comput Mech

View full text Add to dashboard Cite

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

show abstract

Uzawa algorithm to solve elastic and elastic–plastic fretting wear problems within the bipotential framework

Cited by 11 publications

References 22 publications

A bi-potential contact formulation for recoverable adhesion between soft bodies based on the RCC interface model

A bi-potential contact formulation for recoverable adhesion between soft bodies based on the RCC interface model

Simulation of Adhesive Frictional Contact of Soft Materials by Bi-Potential Method

A bi-potential contact formulation of orthotropic adhesion between soft bodies

Contact Info

Product

Resources

About