"Analytical solutions of stress for composite material are obtained by means of mathematical theory of elasticity, assuming spherical inclusions and uniform displacements of boundaries of representative elements. These solutions show that the failure criteria of composite materials are complicated functions of the elastic moduli of matrix, inclusion and composite, and the volume ratio of matrix and inclusion. Combining this theory with Griffith's theory gives a new criteria for brittle failure of granular rook. This theory appears to provide a nearly perfect model for granular rooks, inasmuch as: a) most assumptions used in other criteria are eliminated, b) most phenomena in failure of brittle rocks can be described theoretically, and c) it is the most logical so far. A simple formula that relates the elastic moduli of inclusion and matrix to the effective moduli of the composite is also derived as a part of the thesis. Comparison with experimental data indicates that it approximates the value better than other approximation formulas"--Abstract, Page ii.
Haas, Charles J.
Clark, George B.
Scott, James J.
Keith, Harold D. (Harold Dean), 1941-
Kovacs, William D.
M.S. in Mining Engineering
United States. Department of the Air Force
United States. Department of Defense
University of Missouri--Rolla
x, 112 Pages
© 1970 Kyung Chul Ko, All rights reserved.
Thesis - Open Access
Granular materials -- Mechanical properties -- Mathematical models
Strains and stresses
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Electronic OCLC #
Link to Catalog Record
Ko, Kyung Chul, "The failure criteria and deformational moduli of granular rock" (1970). Masters Theses. 7082.