Multigrid Solution of the 3D Elastic Subsurface Stress Field for Heterogeneous Materials in Contact Mechanics

Hugo Boffy, Cornelis H. Venner

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Abstract

The need to increase efficiency, stimulates the development of new materials tailored to specific applications and thermal/mechanical loading conditions, e.g. by controlling the property variations on a local scale: layered, graded, granular, porous and fibre-reinforced. For design and optimization of such materials the response to specific load conditions must be predicted which requires computer simulations. For applications in contact mechanics and lubrication failure criteria need to be developed which require the stress fields inside the (strongly heterogeneous) material induced by surface loading. The geometrical complexity of the subsurface topography and the need of an accurate solution require the use of a very fine discretization with a large number of elements, especially for three-dimensional problems. This requires optimally efficient numerical algorithms. In this paper the authors demonstrate the capability of Multigrid techniques to compute displacement and stress fields with great detail in strongly heterogeneous materials subject to surface loading, and in a contact mechanics application. Results are presented for a ceramic application and a contact problem of material with multiple inclusions. The efficiency of the method will allow extensive parameter studies with limited computational means. Moreover, it can efficiently be used to derive macroscopic stress-strain relations by simulations of microscopic problems. Also the method can be used for computational diagnostics of materials with specific heterogeneities
Original languageEnglish
Title of host publicationProceedings of the 3rd International Conference on Fracture Fatigue and Wear, FFW 2014, Kitakyushu, Japan, 1-3 September 2014
Pages295-300
Publication statusPublished - 2014
Event3rd International Conference on Fracture Fatigue and Wear, FFW 2014 - Kitakyushu, Japan
Duration: 1 Sep 20143 Sep 2014
Conference number: 3

Publication series

NameInternational Journal of Fracture Fatigue and Wear
Volume2
ISSN (Electronic)2294-7868

Conference

Conference3rd International Conference on Fracture Fatigue and Wear, FFW 2014
Abbreviated titleFFW
CountryJapan
CityKitakyushu
Period1/09/143/09/14

Keywords

  • METIS-308902
  • IR-104791

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    Boffy, H., & Venner, C. H. (2014). Multigrid Solution of the 3D Elastic Subsurface Stress Field for Heterogeneous Materials in Contact Mechanics. In Proceedings of the 3rd International Conference on Fracture Fatigue and Wear, FFW 2014, Kitakyushu, Japan, 1-3 September 2014 (pp. 295-300). (International Journal of Fracture Fatigue and Wear; Vol. 2).