Invariant Stress and Deformation Functions for Doubly Curved ShellsSource: Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 001::page 43Author:A. Libai
DOI: 10.1115/1.3607666Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Exact invariant stress and deformation functions for doubly curved (nondevelopable) shells are derived. The invariant stress function reduces the six shell equilibrium equations into a single equation in the stress function and moment resultants. The deformation function reduces the three surface strain-displacement relations into a single compatibility equation in the strains and deformation function, in terms of which the changes of curvature are also expressed. Application of these functions in the formulation of an approximate bending theory for shells is presented.
keyword(s): Deformation , Stress , Functions , Shells , Equations , Equilibrium (Physics) AND Displacement ,
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| contributor author | A. Libai | |
| date accessioned | 2017-05-08T23:50:58Z | |
| date available | 2017-05-08T23:50:58Z | |
| date copyright | March, 1967 | |
| date issued | 1967 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25844#43_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/117367 | |
| description abstract | Exact invariant stress and deformation functions for doubly curved (nondevelopable) shells are derived. The invariant stress function reduces the six shell equilibrium equations into a single equation in the stress function and moment resultants. The deformation function reduces the three surface strain-displacement relations into a single compatibility equation in the strains and deformation function, in terms of which the changes of curvature are also expressed. Application of these functions in the formulation of an approximate bending theory for shells is presented. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Invariant Stress and Deformation Functions for Doubly Curved Shells | |
| type | Journal Paper | |
| journal volume | 34 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3607666 | |
| journal fristpage | 43 | |
| journal lastpage | 48 | |
| identifier eissn | 1528-9036 | |
| keywords | Deformation | |
| keywords | Stress | |
| keywords | Functions | |
| keywords | Shells | |
| keywords | Equations | |
| keywords | Equilibrium (Physics) AND Displacement | |
| tree | Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 001 | |
| contenttype | Fulltext |