A Newton-like algorithm to solve contact and wear problems with pressure-dependent friction coefficients

Ning, Po; Yan, Li; Feng, Zhi-Qiang

doi:10.1016/j.cnsns.2020.105216

Cited by 5 publications

(4 citation statements)

References 28 publications

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“…where G is the shear modulus. By deriving the energy density (37) with respect to the three invariants, we obtain…”

Section: Blatz-ko Hyperelastic Model For Soft Materialsmentioning

confidence: 99%

“…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%

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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

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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.

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“…where G is the shear modulus. By deriving the energy density (37) with respect to the three invariants, we obtain…”

Section: Blatz-ko Hyperelastic Model For Soft Materialsmentioning

confidence: 99%

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

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“…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

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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.

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“…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

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A Newton-like algorithm to solve contact and wear problems with pressure-dependent friction coefficients

Cited by 5 publications

References 28 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

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