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| 003 | MX-MdCICY | ||
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| 090 | _aB-17240 | ||
| 245 | 1 | 0 | _aA variational approach to the Cosserat-like continuum |
| 490 | 0 | _vInternational Journal of Engineering Science, 31(11), p.1475-1483, 1993 | |
| 520 | 3 | _aThe exposition given here is intended to show an equivalent variational approach to formulation of the virtual work principle for the Cosserat-like continuum. Stationarity conditions of an action integral lead to the Euler-Lagrange equations identified with the balance equations for stresses and couple-stresses within micropolar and micromorphic continua. Vector fields as independent variables are taken so as to satisfy the known Stokes' decomposition. Based on the standard variational arguments, for a given Lagrangian function and an assumed 1-parameter family of transformations of both the independent and dependent variables, the fundamental variational formula identified with the virtual work principle of the Cosserat-like continuum is obtained. To determine the immediate relations between the geometric variation of the boundary and the variation of the field variables the transversality conditions are used. A notion of an independent integral is used to define invariance conditions of the integral in question which is invariant under an action of an r-parameter Lie group. | |
| 650 | 1 | 4 | _aINTEGRAL EQUATIONS |
| 650 | 1 | 4 | _aMATHEMATICAL TRANSFORMATIONS |
| 650 | 1 | 4 | _aNUMERICAL METHODS |
| 650 | 1 | 4 | _aSTRESSES |
| 650 | 1 | 4 | _aVARIATIONAL TECHNIQUES |
| 650 | 1 | 4 | _aVECTORS |
| 700 | 1 | 2 | _aSaczuk, J. |
| 856 | 4 | 0 |
_uhttps://drive.google.com/file/d/1p7AgE166sP2WHfR-mk4tjNJFbrbEw-np/view?usp=drivesdk _zPara ver el documento ingresa a Google con tu cuenta: @cicy.edu.mx |
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