On the Uniqueness of Solution of the Initial Value Problem in Softening MaterialsSource: Journal of Applied Mechanics:;1985:;volume( 052 ):;issue: 003::page 649Author:K. C. Valanis
DOI: 10.1115/1.3169115Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The initial value problem in finite “softening” material domains is discussed. An inequality that is true of all materials irrespective of their constitution is first established. It is then shown that the solution to this problem is unique when the attending constitutive equation satisfies another inequality, which is characteristic of material models that we call “positive.” A number of constitutive equations that give rise to realistic softening behavior are shown to lead to a unique solution of the initial value problem.
keyword(s): Constitutive equations AND Equations ,
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| contributor author | K. C. Valanis | |
| date accessioned | 2017-05-08T23:19:25Z | |
| date available | 2017-05-08T23:19:25Z | |
| date copyright | September, 1985 | |
| date issued | 1985 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26258#649_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/99352 | |
| description abstract | The initial value problem in finite “softening” material domains is discussed. An inequality that is true of all materials irrespective of their constitution is first established. It is then shown that the solution to this problem is unique when the attending constitutive equation satisfies another inequality, which is characteristic of material models that we call “positive.” A number of constitutive equations that give rise to realistic softening behavior are shown to lead to a unique solution of the initial value problem. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Uniqueness of Solution of the Initial Value Problem in Softening Materials | |
| type | Journal Paper | |
| journal volume | 52 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3169115 | |
| journal fristpage | 649 | |
| journal lastpage | 653 | |
| identifier eissn | 1528-9036 | |
| keywords | Constitutive equations AND Equations | |
| tree | Journal of Applied Mechanics:;1985:;volume( 052 ):;issue: 003 | |
| contenttype | Fulltext |