Masters Theses

Kyung Chul Ko

Abstract

"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.

Advisor(s)

Haas, Charles J.

Committee Member(s)

Clark, George B.
Scott, James J.
Keith, Harold D. (Harold Dean), 1941-
Kovacs, William D.

Department(s)

Mining Engineering

Degree Name

M.S. in Mining Engineering

Sponsor(s)

United States. Department of the Air Force
United States. Department of Defense

Publisher

University of Missouri--Rolla

Publication Date

1970

Pagination

x, 112 Pages

Note about bibliography

Includes bibliographical references (pages 73-74).

Rights

© 1970 Kyung Chul Ko, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Rock deformation
Granular materials
Granular materials -- Mechanical properties -- Mathematical models
Strains and stresses

Thesis Number

T 2352

Print OCLC #

6019153

Electronic OCLC #

846844991

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