Failure Criteria and Deformation Moduli for Granular Rocks - Uniform Spheres in a Single Material Matrix.
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 criterion for brittle failure of granular rock. This theory appears to provide a nearly perfect model for granular rocks. A simple formula that relates the elastic moduli of inclusion and matrix to the effective moduli of the composite is derived, and a comparison with experimental data indicates that it approximates the value better than other approximation formulas. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1970
- Accession Number
- AD0727716
Entities
People
- Charles J. Haas
- George B. Clark
- Kyung C. Ko
Organizations
- Missouri University of Science and Technology