An Elastic Stress-Strain Relation for Sphere Arrays Undergoing Initial Stage Sintering

[+] Author and Article Information
T. L. George

Battelle, Pacific Northwest Laboratory, Richland, Wash. 99352

T. C. Kennedy

Department of Mechanical Engineering, Oregon State University, Corvallis, Ore.

K. L. Peddicord

Department of Nuclear Engineering, Texas A & M University, College Station, Texas

J. Appl. Mech 52(1), 98-104 (Mar 01, 1985) (7 pages) doi:10.1115/1.3169034 History: Received January 01, 1983; Revised February 01, 1984; Online July 21, 2009


An analytical model for predicting the elastic constants for isotropic random sphere arrays is described. The model is based on the Hertz contact theory and accounts for the restructuring (neck growth) associated with initial stage sintering. The stress-strain relation is incremental since the stiffness depends on the loads at sphere contacts. As part of the model development, relationships are given for the elastic constants of an isotropic aggregate consisting of orthotropic parts. Predicted elastic constants are presented as functions of the neck size and hydrostatic compression, and comparisons are made with experimental data for cohesionless sphere arrays and fully restructured arrays approaching a porous body.

Copyright © 1985 by ASME
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