Collapse Pressure Analysis of Transversely Isotropic Thick-Walled Cylinder Using Lebesgue Strain Measure and Transition Theory
The objective of this paper is to provide guidance for the design of the thick-walled cylinder made up of transversely isotropic material so that collapse of cylinder due to influence of internal and external pressure can be avoided. The concept of transition theory based on Lebesgue strain measure...
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| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/240954 |
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| author | A. K. Aggarwal Richa Sharma Sanjeev Sharma |
| author_facet | A. K. Aggarwal Richa Sharma Sanjeev Sharma |
| author_sort | A. K. Aggarwal |
| collection | DOAJ |
| description | The objective of this paper is to provide guidance for the design of the thick-walled cylinder made up of transversely isotropic material so that collapse of cylinder due to influence of internal and external pressure can be avoided. The concept of transition theory based on Lebesgue strain measure has been used to simplify the constitutive equations. Results have been analyzed theoretically and discussed numerically. From this analysis, it has been concluded that, under the influence of internal and external pressure, circular cylinder made up of transversely isotropic material (beryl) is on the safer side of the design as compared to the cylinders made up of isotropic material (steel). This is because of the reason that percentage increase in effective pressure required for initial yielding to become fully plastic is high for beryl as compared to steel which leads to the idea of “stress saving” that reduces the possibility of collapse of thick-walled cylinder due to internal and external pressure. |
| format | Article |
| id | doaj-art-9f1b0cd613a642b980d3738066adaaad |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-9f1b0cd613a642b980d3738066adaaad2025-02-03T06:06:26ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/240954240954Collapse Pressure Analysis of Transversely Isotropic Thick-Walled Cylinder Using Lebesgue Strain Measure and Transition TheoryA. K. Aggarwal0Richa Sharma1Sanjeev Sharma2Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector 62, Noida 201307, IndiaDepartment of Mathematics, Jaypee Institute of Information Technology, A-10, Sector 62, Noida 201307, IndiaDepartment of Mathematics, Jaypee Institute of Information Technology, A-10, Sector 62, Noida 201307, IndiaThe objective of this paper is to provide guidance for the design of the thick-walled cylinder made up of transversely isotropic material so that collapse of cylinder due to influence of internal and external pressure can be avoided. The concept of transition theory based on Lebesgue strain measure has been used to simplify the constitutive equations. Results have been analyzed theoretically and discussed numerically. From this analysis, it has been concluded that, under the influence of internal and external pressure, circular cylinder made up of transversely isotropic material (beryl) is on the safer side of the design as compared to the cylinders made up of isotropic material (steel). This is because of the reason that percentage increase in effective pressure required for initial yielding to become fully plastic is high for beryl as compared to steel which leads to the idea of “stress saving” that reduces the possibility of collapse of thick-walled cylinder due to internal and external pressure.http://dx.doi.org/10.1155/2014/240954 |
| spellingShingle | A. K. Aggarwal Richa Sharma Sanjeev Sharma Collapse Pressure Analysis of Transversely Isotropic Thick-Walled Cylinder Using Lebesgue Strain Measure and Transition Theory The Scientific World Journal |
| title | Collapse Pressure Analysis of Transversely Isotropic Thick-Walled Cylinder Using Lebesgue Strain Measure and Transition Theory |
| title_full | Collapse Pressure Analysis of Transversely Isotropic Thick-Walled Cylinder Using Lebesgue Strain Measure and Transition Theory |
| title_fullStr | Collapse Pressure Analysis of Transversely Isotropic Thick-Walled Cylinder Using Lebesgue Strain Measure and Transition Theory |
| title_full_unstemmed | Collapse Pressure Analysis of Transversely Isotropic Thick-Walled Cylinder Using Lebesgue Strain Measure and Transition Theory |
| title_short | Collapse Pressure Analysis of Transversely Isotropic Thick-Walled Cylinder Using Lebesgue Strain Measure and Transition Theory |
| title_sort | collapse pressure analysis of transversely isotropic thick walled cylinder using lebesgue strain measure and transition theory |
| url | http://dx.doi.org/10.1155/2014/240954 |
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