On a Modified Hellinger/Reissner Variational Theorem for the Analysis of Elastoplastic SolidsSource: Journal of Applied Mechanics:;1988:;volume( 055 ):;issue: 003::page 536Author:Dimitrios Karamanlidis
DOI: 10.1115/1.3125826Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A new general variational theorem is proposed for the analysis of elastoplastic solids. By utilizing the method of Lagrangian multipliers, a Hellinger/Reissner-type theorem is derived wherein the yield criterion along with the flow rule are satisfied a posteriori as Euler/Lagrange equations. The proposed formulation represents a rational generalization of the classical Hellinger/Reissner variational theorem for it treats all relevant field equations for an elastoplastic boundary-value problem as natural constraints.
keyword(s): Theorems (Mathematics) , Solids , Equations , Boundary-value problems AND Flow (Dynamics) ,
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| contributor author | Dimitrios Karamanlidis | |
| date accessioned | 2017-05-08T23:26:28Z | |
| date available | 2017-05-08T23:26:28Z | |
| date copyright | September, 1988 | |
| date issued | 1988 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26297#536_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/103477 | |
| description abstract | A new general variational theorem is proposed for the analysis of elastoplastic solids. By utilizing the method of Lagrangian multipliers, a Hellinger/Reissner-type theorem is derived wherein the yield criterion along with the flow rule are satisfied a posteriori as Euler/Lagrange equations. The proposed formulation represents a rational generalization of the classical Hellinger/Reissner variational theorem for it treats all relevant field equations for an elastoplastic boundary-value problem as natural constraints. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On a Modified Hellinger/Reissner Variational Theorem for the Analysis of Elastoplastic Solids | |
| type | Journal Paper | |
| journal volume | 55 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3125826 | |
| journal fristpage | 536 | |
| journal lastpage | 538 | |
| identifier eissn | 1528-9036 | |
| keywords | Theorems (Mathematics) | |
| keywords | Solids | |
| keywords | Equations | |
| keywords | Boundary-value problems AND Flow (Dynamics) | |
| tree | Journal of Applied Mechanics:;1988:;volume( 055 ):;issue: 003 | |
| contenttype | Fulltext |