Finite Element Analysis of Elastic-Plastic Contact Mechanic Considering the Effect of Contact Geometry and Material Properties
ABSTRACT
Each surface of roughness has different shape of asperity which is modeled with various shapes of analytical models. In this paper, the differences among various models of shape of asperity investigate using the Finite Element Method (FEM) and various analytical models. The contact stresses in rough surfaces are calculated analytically using various asperity shape models. Finite element analysis is also carried out assuming three types of material properties namely, the linear, the elastic-perfect plastic and the elastic-nonlinear hardening. The analytical results are compared with the results obtained by the finite element method. The results illustrate for using a deterministic approach which the numerical models are suitable. In hertz model, the result of force is very big in interface of causing deformation plastic, while Model Zhao has almost same result with FEM nonlinear property model. It is observed that the results obtained from Zhao’s model are generally in a better agreement with the results obtained from various finite element models especially in elastic-plastic and plastic zones, hence it may be concluded that Zhao’s model can be used for analyzing the rough surfaces in contact mechanics.
Each surface of roughness has different shape of asperity which is modeled with various shapes of analytical models. In this paper, the differences among various models of shape of asperity investigate using the Finite Element Method (FEM) and various analytical models. The contact stresses in rough surfaces are calculated analytically using various asperity shape models. Finite element analysis is also carried out assuming three types of material properties namely, the linear, the elastic-perfect plastic and the elastic-nonlinear hardening. The analytical results are compared with the results obtained by the finite element method. The results illustrate for using a deterministic approach which the numerical models are suitable. In hertz model, the result of force is very big in interface of causing deformation plastic, while Model Zhao has almost same result with FEM nonlinear property model. It is observed that the results obtained from Zhao’s model are generally in a better agreement with the results obtained from various finite element models especially in elastic-plastic and plastic zones, hence it may be concluded that Zhao’s model can be used for analyzing the rough surfaces in contact mechanics.
Cite this paper
nullA. Sohouli, A. Goudarzi and R. Alashti, "Finite Element Analysis of Elastic-Plastic Contact Mechanic Considering the Effect of Contact Geometry and Material Properties," Journal of Surface Engineered Materials and Advanced Technology, Vol. 1 No. 3, 2011, pp. 125-129. doi: 10.4236/jsemat.2011.13019.
nullA. Sohouli, A. Goudarzi and R. Alashti, "Finite Element Analysis of Elastic-Plastic Contact Mechanic Considering the Effect of Contact Geometry and Material Properties," Journal of Surface Engineered Materials and Advanced Technology, Vol. 1 No. 3, 2011, pp. 125-129. doi: 10.4236/jsemat.2011.13019.
References
[1] K. L. Johnson, “Contact Mechanics,” Cambridge Univer-sity Press, Cambridge, 1985. [2] J. A. Greenwood and J. H. Tripp, “The Contact of Two Nominally Flat Rough Surfaces,” Proceedings of the In-stitution of Mechanical Engineers, Vol. 185, No. 1, 1971, pp. 624-633. doi:10.1243/PIME_PROC_1970_185_069_02 [3] J. I. McCool, “Comparison of Model for Contact of Rough Surfaces,” Wear, Vol. 107, No. 1, 1986, pp. 37-60. doi:10.1016/0043-1648(86)90045-1 [4] L. Kogut and I. Etsion, “Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat,” Journal of Applied Mechanics, Vol. 69, 2002, pp. 657-662. doi:10.1115/1.1490373 [5] A. Majumdar and C. L. Tien, “Fractal Characterization and Simulation of Rough Surfaces,” Wear, Vol. 136, No. 2, 1990, pp. 313-327. doi:10.1016/0043-1648(90)90154-3 [6] A. Majumdar and B. Bhushan, “Role of Fractal Geometry Inroughness Characterization and Contact Mechanics of Surfaces,” Journal of Tribology, Vol. 112, No. 2, 1990, pp. 205-216. doi:10.1115/1.2920243 [7] A. Majumdar and B. Bhushan, “Fractal Model of Elastic- Plastic Contact between Rough Surfaces,” Journal of Tribology, Vol. 113, No. 1, 1991, pp. 1-11. doi:10.1115/1.2920588 [8] B. Bhushan and A. Majumdar, “Elastic-Plastic Contact for Bifractal Surfaces,” Wear, Vol. 153, No. 1, 1992, pp. 53-64. doi:10.1016/0043-1648(92)90260-F [9] C. Hardy, C. N. Baronet and G. V. Tordion, “The Elasto- Plastic Indentation of a Half-Space by a Rigid Sp- here,” International Journal for Numerical Methods in Engi-neering, Vol. 3, No. 4, 1971, pp. 451-462. doi:10.1002/nme.1620030402 [10] W. R. Chang, L. Etsion and D. B. Bogy, “An Elastic- Plastic Model for the Contact of Rough Surfaces,” Journal of Tribology, Vol. 109, 1987, pp. 257-263. doi:10.1115/1.3261348 [11] Y. Zhao and L. Chang, “A Model of Asperity Interactions In Elastic-Plastic Contact of Rough Surfaces,” Journal of Tribology, Vol. 123, No. 4, 2001, pp. 857-864 doi:10.1115/1.1338482 [12] E. Ciulli, L. A. Ferreira, G. Pugliese and S. M. O. Tavares, “Rough Contacts Between Actual Engineering Surfaces Part I. Simple Models for Roughness Description,” Wear, Vol. 264, No. 11-12, 2008, pp. 1105-1115. doi:10.1016/j.wear.2007.08.024 [13] G. Pugliese, S. M. O. Tavares, E. Ciulli and L. A. Ferreir, “Rough Contacts Between Actual Engineering Surfaces Part II. Contact Mechanics,” Wear, Vol. 264, No. 11-12, 2008, pp. 1116-1128. doi:10.1016/j.wear.2007.08.027
[1] K. L. Johnson, “Contact Mechanics,” Cambridge Univer-sity Press, Cambridge, 1985. [2] J. A. Greenwood and J. H. Tripp, “The Contact of Two Nominally Flat Rough Surfaces,” Proceedings of the In-stitution of Mechanical Engineers, Vol. 185, No. 1, 1971, pp. 624-633. doi:10.1243/PIME_PROC_1970_185_069_02 [3] J. I. McCool, “Comparison of Model for Contact of Rough Surfaces,” Wear, Vol. 107, No. 1, 1986, pp. 37-60. doi:10.1016/0043-1648(86)90045-1 [4] L. Kogut and I. Etsion, “Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat,” Journal of Applied Mechanics, Vol. 69, 2002, pp. 657-662. doi:10.1115/1.1490373 [5] A. Majumdar and C. L. Tien, “Fractal Characterization and Simulation of Rough Surfaces,” Wear, Vol. 136, No. 2, 1990, pp. 313-327. doi:10.1016/0043-1648(90)90154-3 [6] A. Majumdar and B. Bhushan, “Role of Fractal Geometry Inroughness Characterization and Contact Mechanics of Surfaces,” Journal of Tribology, Vol. 112, No. 2, 1990, pp. 205-216. doi:10.1115/1.2920243 [7] A. Majumdar and B. Bhushan, “Fractal Model of Elastic- Plastic Contact between Rough Surfaces,” Journal of Tribology, Vol. 113, No. 1, 1991, pp. 1-11. doi:10.1115/1.2920588 [8] B. Bhushan and A. Majumdar, “Elastic-Plastic Contact for Bifractal Surfaces,” Wear, Vol. 153, No. 1, 1992, pp. 53-64. doi:10.1016/0043-1648(92)90260-F [9] C. Hardy, C. N. Baronet and G. V. Tordion, “The Elasto- Plastic Indentation of a Half-Space by a Rigid Sp- here,” International Journal for Numerical Methods in Engi-neering, Vol. 3, No. 4, 1971, pp. 451-462. doi:10.1002/nme.1620030402 [10] W. R. Chang, L. Etsion and D. B. Bogy, “An Elastic- Plastic Model for the Contact of Rough Surfaces,” Journal of Tribology, Vol. 109, 1987, pp. 257-263. doi:10.1115/1.3261348 [11] Y. Zhao and L. Chang, “A Model of Asperity Interactions In Elastic-Plastic Contact of Rough Surfaces,” Journal of Tribology, Vol. 123, No. 4, 2001, pp. 857-864 doi:10.1115/1.1338482 [12] E. Ciulli, L. A. Ferreira, G. Pugliese and S. M. O. Tavares, “Rough Contacts Between Actual Engineering Surfaces Part I. Simple Models for Roughness Description,” Wear, Vol. 264, No. 11-12, 2008, pp. 1105-1115. doi:10.1016/j.wear.2007.08.024 [13] G. Pugliese, S. M. O. Tavares, E. Ciulli and L. A. Ferreir, “Rough Contacts Between Actual Engineering Surfaces Part II. Contact Mechanics,” Wear, Vol. 264, No. 11-12, 2008, pp. 1116-1128. doi:10.1016/j.wear.2007.08.027