The study of thermal stresses in a single long elastic fiber embedded in an infinite matrix
Master of Science (MS)
First Advisor's Name
First Advisor's Committee Title
Second Advisor's Name
Third Advisor's Name
Norman D. H. Munroe
Fourth Advisor's Name
Ivan E. Esparragoza
Date of Defense
This work considered the micro-mechanical behavior of a long fiber embedded in an infinite matrix. Using the theory of elasticity, the idea of boundary layer and some simplifying assumptions, an approximate analytical solution was obtained for the normal and shear stresses along the fiber. The analytical solution to the problem was found for the case when the length of the embedded fiber is much greater than its radius, and the Young's modulus of the matrix was much less than that of the fiber. The analytical solution was then compared with a numerical solution based on Finite Element Analysis (FEA) using ANSYS. The numerical results showed the same qualitative behavior of the analytical solution, serving as a validation tool against lack of experimental results.
In general this work provides a simple method to determine the thermal stresses along the fiber embedded in a matrix, which is the foundation for a better understanding of the interaction between the fiber and matrix in the case of the classical problem of thermal-stresses.
Caudill, Nelson Elbert, "The study of thermal stresses in a single long elastic fiber embedded in an infinite matrix" (2003). FIU Electronic Theses and Dissertations. 2088.
In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/
This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
If you are the rightful copyright holder of this dissertation or thesis and wish to have it removed from the Open Access Collection, please submit a request to email@example.com and include clear identification of the work, preferably with URL.