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The Scientific World Journal
Volume 2013, Article ID 676190, 10 pages
Research Article

Safety Analysis Using Lebesgue Strain Measure of Thick-Walled Cylinder for Functionally Graded Material under Internal and External Pressure

Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector 62, Noida 201307, India

Received 29 April 2013; Accepted 10 July 2013

Academic Editors: Y.-k. Gao, C.-Q. Hong, and D.-Y. Ju

Copyright © 2013 A. K. Aggarwal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Safety analysis has been done for thick-walled circular cylinder under internal and external pressure using transition theory which is based on the concept of generalized principal Lebesgue strain measure. Results have been analyzed theoretically and discussed numerically. From the analysis, it can be concluded that circular cylinder made of functionally graded material is on the safer side of the design as compared to homogeneous cylinder with internal and external pressure, which leads to the idea of “stress saving” that minimizes the possibility of fracture of cylinder.