Steady‐state 3D rolling‐contact using boundary elements

Abascal, Ramón; Rodríguez-Tembleque, Luis

doi:10.1002/cnm.931

Cited by 19 publications

(10 citation statements)

References 8 publications

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“…The generalized Newton method with line search is an effective extension of the Newton's method for B-differentiable functions proposed by Pang [28] and very suitable to solve contact problems [24,25,29,[39][40][41]. Copyright The nonlinear equations set (36), Rz D F, can be solved using the GNMls over the following: ‚.z/ D Rz F D 0.…”

Section: Accelerated Newton Algorithmmentioning

confidence: 99%

Fast FE–BEM algorithms for orthotropic frictional contact

Rodríguez-Tembleque

Abascal

2013

Numerical Meth Engineering

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This paper presents a new and efficient methodology for solving 3D frictional contact problems considering an orthotropic friction law. The contact methodology is based on a proposed augmented Lagrangian formulation for orthotropic frictional contact problems, and a new discrete contact operator, which allows to reduce the number of unknowns in a Newton-like algorithm that accelerates the attainment of the solution. A fast Uzawa scheme is also proposed on the basis of the Steffensen's method. Both algorithms prove to be very robust and efficient to solve orthotropic frictional contact problems. The proposed formalism has the advantage of being very compact and valid for both the FEM and the BEM. Numerical results are given to demonstrate the validity of the formulation and algorithms proposed.

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Section: Accelerated Newton Algorithmmentioning

confidence: 99%

Fast FE–BEM algorithms for orthotropic frictional contact

Rodríguez-Tembleque

Abascal

2013

Numerical Meth Engineering

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“…The rolling contact formulation is based on Kalker's one, which is collected on his book (Kalker, 1990) or in Johnson's book (Johnson, 1985). This formulation it has been applied on 2D and 3D problems, using the BEM, by González and Abascal (1998), González and Abascal (2000), González and Abascal (2002), Abascal and Rodríguez-Tembleque (2007) and Rodríguez-Tembleque and Abascal (2010), allowing to consider real solid geometries (not only half-spaces) and unstructured meshes. Furthermore, there is a normal and tangential cross-influence relation.…”

Section: Introductionmentioning

confidence: 99%

A boundary element formulation for wear modeling on 3D contact and rolling-contact problems

Rodríguez-Tembleque¹,

Abascal²,

Aliabadi

2010

International Journal of Solids and Structures

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a b s t r a c tThe present work shows a new numerical treatment for wear simulation on 3D contact and rolling-contact problems. This formulation is based on the boundary element method (BEM) for computing the elastic influence coefficients and on projection functions over the augmented Lagrangian for contact restrictions fulfillment. The constitutive equations of the potential contact zone are Signorini's contact conditions, Coulomb's law of friction and Holm-Archard's law of wear. The proposed methodology is applied to predict wear on different contact and rolling-contact problems. Results are validated with numerical solutions and semi-analytical models presented in the literature. The BEM considers only the degrees of freedom involved on these kind of problems (those on the solids surfaces), reducing the number of unknowns and obtaining a very good approximation on contact tractions using a low number of elements. Together with the formulation, an acceleration strategy is presented allowing to reduce the times of resolution.

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“…Their formulation was based on an incremental form considering constant triangular boundary elements. Some formulations for analysis of rolling contact were proposed by Gonzá lez and Abascal [17], Abascal and Rodríguez-Tembleque [18] and Rodríguez-Tembleque and Abascal [19]. These formulations were developed for analysis of 2D and 3D contact problems with BEM, allowing to consider real solid geometries and unstructured meshes.…”

Section: Introductionmentioning

confidence: 98%