The Influence of Grain Size and Grain Size Distribution on Sliding Frictional Contact in Laterally Graded Materials

Abstract:

The sliding frictional contact problem for a laterally graded half-plane has been considered. Two finite element (FE) models, in macro and micro scales have been developed to investigate the effective parameters in contact mechanics of laterally graded materials loaded by flat and triangular rigid stamps. In macro scale model, the laterally graded half-plane is discretized by piecewise homogeneous layers for which the material properties are specified at the centroids by Mori-Tanaka method. In micro scale model, functionally graded material (FGM) structure has been modeled as ideal solid quadrant particles which are spatially distributed in a homogeneous matrix. Boundary conditions and loading is the same in both models. The microstructure has modeled as rearrangement and sizes changing of particles are possible to provide the possibility of crack nucleation investigation in non-singular regions. Analyses and comparison of the results showed that micro and macro scale results are in very good agreement. Also, increasing the grains aspect ratio and using optimum distribution of grains decrease stress distribution roughness on the surface. Therefore, the possibility of surface cracking far from stamp’s edges decreased.

• Periodical: Applied Mechanics and Materials (Volumes 157-158)
• Pages: 964-969
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.157-158.964
• Online since: February 2012
• Authors: Romik Khajehtourian, Saeed Adibnazari, Samaneh Tashi
• Keywords: Contact Mechanics, Graded Material, Grain Size, Grain Size Distribution, Micro Scale

References

[1] Guler, M.A., Erdogan, F., 2004, Contact mechanics of graded coatings, International Journal of Solids and Structures 41, 3865–3889.

DOI: 10.1016/j.ijsolstr.2004.02.025

[2] Jitcharoen, J., Padture, N.P., Giannakopoulos, A.E., Suresh, S., 1998, Hertzian crack suppression in ceramics with elastic modulus graded surfaces, Journal of the American Ceramic Society 81, 2301–2308.

DOI: 10.1111/j.1151-2916.1998.tb02625.x

[3] Suresh, S., Olsson, M., Giannakopoulos, A.E., Padture, N.P., Jitcharoen, J., 1999, Engineering the resistance to sliding contact damage through controlled gradients in elastic properties at contact surfaces, Acta Materialia 47, 3915–3926.

DOI: 10.1016/s1359-6454(99)00205-0

[4] Guler, M.A., Erdogan, F., 2006, Contact mechanics of two deformable solids with graded coatings, Mechanics of Materials 38, 633–647.

DOI: 10.1016/j.mechmat.2005.11.006

[5] Guler, M.A., Erdogan, F., 2007, The frictional sliding contact problems of rigid parabolic and cylindrical stamps on graded coatings, International Journal of Mechanical Sciences 49, 161–182.

DOI: 10.1016/j.ijmecsci.2006.08.006

[6] Ke, L.L., Wang, Y.S., 2006, Two dimensional contact mechanics of functionally graded materials with arbitrary variations of material properties, International Journal of Solids and Structures 43, 5779–5798.

DOI: 10.1016/j.ijsolstr.2005.06.081

[7] Ke, L.L., Wang, Y.S., 2007a, Two dimensional sliding frictional contact of functionally graded materials, European Journal of Mechanics A – Solids 26, 171–188.

DOI: 10.1016/j.euromechsol.2006.05.007

[8] Dag, S., Guler, M.A., Yildirim, B., Ozatag, C., 2009, Sliding frictional contact between a rigid punch and a laterally graded elastic medium, International Journal of Solids and Structures 46 (2009) 4038–4053.

DOI: 10.1016/j.ijsolstr.2009.07.023

[9] Khajehtourian, R., 2011, Investigation of effective parameters in contact mechanics of FGM coated Half-Space through FEM modeling, MSc Dissertation, Sharif University of Technology (in Persian).

[10] ANSYS, 2000, ANSYS Basic Analysis Procedures Guide, Release 5.7 ANSYS Inc., Canonsburg, PA, USA.

DOI: 10.1016/b978-0-12-811768-2.00022-5