index5 - THERMAL STRESS INTENSITY FACTOR EVALUATION FOR...

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THERMAL STRESS INTENSITY FACTOR EVALUATION FOR INCLINED CRACKS IN FUNCTIONALLY GRADED MATERIALS USING k J -INTEGRAL METHOD A THESIS SUBMITTED TO THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES OF MIDDLE EAST TECHNICAL UNIVERSITY BY BENG ° DEM ° ° V ° IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE IN MECHANICAL ENGINEERING NOVEMBER 2006
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Approval of the Graduate School of Natural and Applied Sciences Prof. Dr. Canan ÖZGEN Director I certify that this thesis satisfies all the requirements as a thesis for the degree of Master of Science. Prof. Dr. S. Kemal ° DER Head of Department This is to certify that we have read this thesis and that in our opinion it is fully adequate, in scope and quality, as a thesis for the degree of Master of Science. Asst. Prof. Dr. Serkan DA ± Supervisor Examining Committee Members Head of Jury : Prof. Dr. Metin AKKÖK (METU, ME) _______________ Supervisor: Asst. Prof. Dr. Serkan DA ± (METU, ME) _______________ Prof. Dr. Bülent DOYUM (METU, ME) _______________ Assoc. Prof. Dr. Suat KADIO ± LU (METU, ME) _______________ Assoc. Prof. Dr. Bora YILDIRIM (Hacettepe Univ, ME) _______________
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iii PLAGIARISM I hereby declare that all information in this document has been obtained and presented in accordance with academic rules and ethical conduct. I also declare that, as required by these rules and conduct, I have fully cited and referenced all material and results that are not original to this work. Name, Lastname : Bengi DEM ° ° V ° Signature :
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iv ABSTRACT THERMAL STRESS INTENSITY FACTOR EVALUATION FOR INCLINED CRACKS IN FUNCTIONALLY GRADED MATERIALS USING k J -INTEGRAL METHOD Demirçivi, Bengi M.S., Department of Mechanical Engineering Supervisor: Asst. Prof. Dr. Serkan DA ± November 2006, 88 pages The main objective of this study is to evaluate mixed mode stress intensity factors for inclined embedded cracks in functionally graded materials. Fracture analysis of inclined cracks requires the calculation of both Mode I and Mode II stress intensity factors ( I K , II K ). In this study, k J -integral is used to calculate I K and II K . Equivalent domain integral approach is utilized to evaluate the k J - integral around the crack tip. The present study aims at developing a finite element model to study inclined crack problems in graded media under thermomechanical loading. A two dimensional finite element model is developed for inclined cracks located in a functionally graded medium. Structural and thermal problems are solved using two dimensional finite elements namely 8- noded triangles. Material properties are sampled directly at the integration points of the elements, as required by the numerical integral evaluation. The main results of the study are the stress intensity factors at the crack tip for functionally graded materials subjected to thermomechanical loading.
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