A Novel Approach For Two-dimensional Inclusion/hole Problems Using The Airy Stress Function Method

Author

Manikandan Madhavan

Graduation Semester and Year

2013

Language

English

Document Type

Thesis

Degree Name

Master of Science in Aerospace Engineering

Department

Mechanical and Aerospace Engineering

First Advisor

Seiichi Nomura

Abstract

This thesis demonstrates the application of the Airy stress function in solving plane elasticity problems. An Airy stress function is determined for two-dimensional infinite plates containing a circular inclusion embedded with a circular hole subjected to tensile loading and the traction and displacement functions for various boundary conditions satisfy the equilibrium and continuity conditions. Mathematica was useful for solving the complex expressions and to calculate the elastic fields for a variety of elastic problems in this study.

Disciplines

Aerospace Engineering | Engineering | Mechanical Engineering

License

This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.

Comments

Degree granted by The University of Texas at Arlington

Recommended Citation

Madhavan, Manikandan, "A Novel Approach For Two-dimensional Inclusion/hole Problems Using The Airy Stress Function Method" (2013). Mechanical and Aerospace Engineering Theses. 303.
https://mavmatrix.uta.edu/mechaerospace_theses/303