The Influence of Initial Solution Estimate Method on Efficient Boundary Element Modeling of Rolling Contact

A novel methodology is proposed for accelerating the calculation efficiency of the boundary element modeling of rolling contact. This methodology involves the implementation of an initial solution estimate. The method is to provide the initial estimate value by means of simplifying the method, which is used for the iterative calculation of the boundary element method to solve the normal and tangential contact problems. In the normal contact problem, the normal pressure and contact patch are provided as the initial values for the iterative calculation of the boundary element method. In the tangential contact problem, the initial values for tangential stress and adhesion-slip distribution are provided. A first novel aspect is breaking the initial iteration setting of the traditional BEM, which can significantly reduce the iterations. A second novelty is that a method for determining the potential contact area is proposed to ensure the correctness of boundary element modeling without increasing the computational cost. In the following section, an analysis is conducted to ascertain the impact of the initial solution estimate method on the efficacy of boundary element modeling. The result is that efficiency increased by 69.1% of normal contact calculations, with the initial contact patch exerting the most significant influence. The efficiency of the process under investigation increased by 56.9%, and the most pronounced effect is the distribution of adhesion-slip.

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Publication Details

Journal
Lubricants
Published
2025-11-20
DOI
https://doi.org/10.3390/lubricants13110508
Primary Topic
Contact Mechanics and Variational Inequalities
Type
article
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article

The Influence of Initial Solution Estimate Method on Efficient Boundary Element Modeling of Rolling Contact

Hongchang Lai, Boyang An, Shuang Chen, Jiapeng Liu
Lubricants
Contact Mechanics and Variational Inequalities
article

The Influence of Initial Solution Estimate Method on Efficient Boundary Element Modeling of Rolling Contact

Hongchang Lai, Boyang An, Shuang Chen, Jiapeng Liu
article en

Abstract

A novel methodology is proposed for accelerating the calculation efficiency of the boundary element modeling of rolling contact. This methodology involves the implementation of an initial solution estimate. The method is to provide the initial estimate value by means of simplifying the method, which is used for the iterative calculation of the boundary element method to solve the normal and tangential contact problems. In the normal contact problem, the normal pressure and contact patch are provided as the initial values for the iterative calculation of the boundary element method. In the tangential contact problem, the initial values for tangential stress and adhesion-slip distribution are provided. A first novel aspect is breaking the initial iteration setting of the traditional BEM, which can significantly reduce the iterations. A second novelty is that a method for determining the potential contact area is proposed to ensure the correctness of boundary element modeling without increasing the computational cost. In the following section, an analysis is conducted to ascertain the impact of the initial solution estimate method on the efficacy of boundary element modeling. The result is that efficiency increased by 69.1% of normal contact calculations, with the initial contact patch exerting the most significant influence. The efficiency of the process under investigation increased by 56.9%, and the most pronounced effect is the distribution of adhesion-slip.

LubricantsVol. 13(11)
Chengdu Medical College (CN), China Academy of Railway Sciences (CN), Southwest Jiaotong University (CN)
Openalex Percentile: Top 64%
Contact Mechanics and Variational Inequalities
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