MG13 - Talk detail |
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Participant |
Malyshev, Cyril | |||||||
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Institution |
St.Petersburg Department of Steklov Institute of Mathematics of the Russian Academy of Sciences - Fontanka 27 - St.Petersburg - Russia - Russia | |||||||
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Session |
ST3 |
Accepted |
Yes |
Order |
6 |
Time |
17:50 - 18:10 | |
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Talk |
Oral abstract |
Title |
Einsteinian translational gauging and dislocations with finite-sized core | |||||
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Abstract |
A field theory is developed to describe thermodynamics of non-singular dislocations in elastic body. The dislocation core is not captured by the classical elasticity, and therefore it is proposed to account for the core self-energy by means of the translational part of the Riemann--Cartan gauge Lagrangian. In the translational case the Hilbert--Einstein gauge equation plays the role of non-conventional incompatibility law. The partition function of straight screw dislocations is written in the functional integral form. The present approach results in the dislocations with finite-sized core. Renormalization of the shear modulus is considered. Modification of the renormalization law caused by finiteness of the dislocation cores is demonstrated. |
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