Large-Deformation Theory of Shells of RevolutionSource: Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 001::page 56DOI: 10.1115/1.3607668Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, nonlinear membrane equations are derived for a shell of revolution under the assumption that not only are the displacements and rotations large, but that, also, large strains are admitted. The equations, therefore, are aimed at shells which are not only very thin, but which are also made of a material which permits large elastic strains. The special difficulties resulting from this extension of the theory are discussed. As an example for the application of the equations, a circular toroid subjected to internal pressure is studied. Numerical results are given for a level of loading which lies clearly outside the domain of a large-deflection, small-strain theory.
keyword(s): Deformation , Shells , Equations , Membranes , Deflection AND Pressure ,
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| contributor author | W. Flügge | |
| contributor author | S-C. Chou | |
| date accessioned | 2017-05-08T23:51:03Z | |
| date available | 2017-05-08T23:51:03Z | |
| date copyright | March, 1967 | |
| date issued | 1967 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25844#56_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/117390 | |
| description abstract | In this paper, nonlinear membrane equations are derived for a shell of revolution under the assumption that not only are the displacements and rotations large, but that, also, large strains are admitted. The equations, therefore, are aimed at shells which are not only very thin, but which are also made of a material which permits large elastic strains. The special difficulties resulting from this extension of the theory are discussed. As an example for the application of the equations, a circular toroid subjected to internal pressure is studied. Numerical results are given for a level of loading which lies clearly outside the domain of a large-deflection, small-strain theory. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Large-Deformation Theory of Shells of Revolution | |
| type | Journal Paper | |
| journal volume | 34 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3607668 | |
| journal fristpage | 56 | |
| journal lastpage | 58 | |
| identifier eissn | 1528-9036 | |
| keywords | Deformation | |
| keywords | Shells | |
| keywords | Equations | |
| keywords | Membranes | |
| keywords | Deflection AND Pressure | |
| tree | Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 001 | |
| contenttype | Fulltext |