The Application of the Principle of Stationary Potential Energy to Some Problems in Finite ElasticitySource: Journal of Applied Mechanics:;1965:;volume( 032 ):;issue: 003::page 656Author:Mark Levinson
DOI: 10.1115/1.3627274Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Two applications of the principle of stationary potential energy to the finite straining of a neo-Hookean (rubberlike) material are given in this paper. The major purpose of the work presented is to illustrate the suitability of energy methods for the solution of problems in finite strain theory since the literature of the subject does not contain mention of such solutions. One problem not amenable to the usual inverse methods of finite elasticity is studied approximately. The other problem, involving a stability question of an unusual sort, is handled with ease by means of the energy principle.
keyword(s): Elasticity , Potential energy AND Stability ,
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| contributor author | Mark Levinson | |
| date accessioned | 2017-05-08T23:26:55Z | |
| date available | 2017-05-08T23:26:55Z | |
| date copyright | September, 1965 | |
| date issued | 1965 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25811#656_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/103757 | |
| description abstract | Two applications of the principle of stationary potential energy to the finite straining of a neo-Hookean (rubberlike) material are given in this paper. The major purpose of the work presented is to illustrate the suitability of energy methods for the solution of problems in finite strain theory since the literature of the subject does not contain mention of such solutions. One problem not amenable to the usual inverse methods of finite elasticity is studied approximately. The other problem, involving a stability question of an unusual sort, is handled with ease by means of the energy principle. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | The Application of the Principle of Stationary Potential Energy to Some Problems in Finite Elasticity | |
| type | Journal Paper | |
| journal volume | 32 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3627274 | |
| journal fristpage | 656 | |
| journal lastpage | 660 | |
| identifier eissn | 1528-9036 | |
| keywords | Elasticity | |
| keywords | Potential energy AND Stability | |
| tree | Journal of Applied Mechanics:;1965:;volume( 032 ):;issue: 003 | |
| contenttype | Fulltext |