Finite element method for two-dimensional elasticity problem

The purpose of this study is to develop a system which can be used to solve two-dimensional elasticity problem. A manual solution has been made to solve this two-dimensional elasticity problem based on the heat problem. In the first step, the main component is solved to get the stiffness matrix. Nex...

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Main Author: Othman, Hanimah
Format: Thesis
Language:English
Published: 2010
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Online Access:http://eprints.utm.my/id/eprint/11308/6/HanimahOthmanMFS2010.pdf
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spelling my-utm-ep.113082017-09-28T03:14:46Z Finite element method for two-dimensional elasticity problem 2010-04 Othman, Hanimah QA Mathematics The purpose of this study is to develop a system which can be used to solve two-dimensional elasticity problem. A manual solution has been made to solve this two-dimensional elasticity problem based on the heat problem. In the first step, the main component is solved to get the stiffness matrix. Next, the initial strain and load vector, and the boundary vector are computed to complete the solution. The solution is computed and verified using MATLAB. 2010-04 Thesis http://eprints.utm.my/id/eprint/11308/ http://eprints.utm.my/id/eprint/11308/6/HanimahOthmanMFS2010.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science 1. Advance Computing Kuala Lumpur (1999), Course FEM and Modeling, Universiti Teknologi Malaysia, Kuala Lumpur 2. A. I Lurie (2005), Theory of Elasticity, Springer-Verlag Berlin Heidelberg, New York 3. Crandall, S. H., Dahl, N. C. and Lardner, T. J. (1972), ‘An introduction to the mechanics of solids’. 2nd Edition, McGraw Hill 4. Desai, C. S. and Abel, J. F. (1972), ‘Introduction to the finite element method’. Van Nostrand Reinhold 5. Doyle, J. F. and Phillips, J. W. (1989), Manual on Experimental Stress Analysis, Society for Experimental Mechanics 6. Dym, C. L. and Shames, I. H. (1973), ‘Solid mechanics: a variational approach’, McGraw Hill 7. Entwistle, K. M. (1999), Basic Principles of the Finite Element Method, Maney Publishing 8. Fung, Y. C. (1965), ‘Foundation of solid mechanics’, Prentice Hall 9. Hunter, S. C. (1976), ‘Mechanics of continuous media’. Ellis Horwood Publishers (John Wiley) 10. Lanczos, C. (1970), ‘The variational principles of mechanics’, 4th Edition, Toronto University Press 11. Martin, H. C. and Carey, G. F. (1973), ‘Introduction to finite element analysis: theory and application’, McGraw Hill 12. Mohammed Ameen (2005), Computational Elasticity, Alpha Science International Ltd, India 13. Niels Ottosen and Hans Petersson (1992), Introduction to the Finite Element Method, Prentice Hall International,United Kingdom 14. Richards, T. H. (1977), ‘Energy methods in stress analysis’, Ellis Horwood Publishers (John Wiley) 15. Roark, R. J. and Young, W. C. (1975), ‘Formulas for stress and strain’, 5th Edition, McGraw Hill 16. Robert, W. L. (1973), Elasticity, Prentice Hall, Englewood Cliffs, New Jersey 17. Sadd, M. H. (2005), Elasticity: Theory , Applications, and Numerics, Elsevier Inc, United States of America 18. Timoshenko, S. (1955), ‘Strength of Materials’, Vols. 1 and 2, 3rd edition, Van Nostrand 19. Zienkiewicz, O. C. (1977), ‘The finite element method’, 3rd Edition, McGraw Hill 20. Answer.com, URL : http://www.answers.com/topic/elasticity, (retrieved 8th April 2010)
institution Universiti Teknologi Malaysia
collection UTM Institutional Repository
language English
topic QA Mathematics
spellingShingle QA Mathematics
Othman, Hanimah
Finite element method for two-dimensional elasticity problem
description The purpose of this study is to develop a system which can be used to solve two-dimensional elasticity problem. A manual solution has been made to solve this two-dimensional elasticity problem based on the heat problem. In the first step, the main component is solved to get the stiffness matrix. Next, the initial strain and load vector, and the boundary vector are computed to complete the solution. The solution is computed and verified using MATLAB.
format Thesis
qualification_level Master's degree
author Othman, Hanimah
author_facet Othman, Hanimah
author_sort Othman, Hanimah
title Finite element method for two-dimensional elasticity problem
title_short Finite element method for two-dimensional elasticity problem
title_full Finite element method for two-dimensional elasticity problem
title_fullStr Finite element method for two-dimensional elasticity problem
title_full_unstemmed Finite element method for two-dimensional elasticity problem
title_sort finite element method for two-dimensional elasticity problem
granting_institution Universiti Teknologi Malaysia, Faculty of Science
granting_department Faculty of Science
publishDate 2010
url http://eprints.utm.my/id/eprint/11308/6/HanimahOthmanMFS2010.pdf
_version_ 1747814838211444736