A numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniques
✍ Scribed by I.A. Polonsky; L.M. Keer
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 682 KB
- Volume
- 231
- Category
- Article
- ISSN
- 0043-1648
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✦ Synopsis
An alternative numerical method for solving contact problems for real rough surfaces is proposed. The real area of contact and the contact pressure distribution are determined using a single-loop iteration scheme based on the conjugate gradient method, which converges for arbitrary rough surfaces. The surface deflections and subsurface stresses are computed using an alternative two-dimensional multi-level multi-summation algorithm, which allows the summation error to be kept under the discretization error for any number of contact points. The proposed method is fast: rough contact problems for surface samples with 10 5 -10 6 data points are solved on a personal computer in a few hours. The numerical algorithms are described in full detail so that an interested reader can implement the new contact solver in a computer code. Numerical examples demonstrating the method advantages are presented. The method is compared with other fast contact solvers that have emerged in the last few years.