Solvability and Asymptotics of Solutions of Crack-Type Boundary-Contact Problems of the Couple-Stress Elasticity
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| 024 | 7 | 0 | |a 10.1515/GMJ.2003.427 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/GMJ.2003.427 | ||
| 100 | 1 | |a Chkadua |D O. |u A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: chkadua@rmi.acnet.ge | |
| 245 | 1 | 0 | |a Solvability and Asymptotics of Solutions of Crack-Type Boundary-Contact Problems of the Couple-Stress Elasticity |h [Elektronische Daten] |c [O. Chkadua] |
| 520 | 3 | |a Spatial boundary value problems of statics of couple-stress elasticity for anisotropic homogeneous media (with contact on a part of the boundary) with an open crack are studied supposing that one medium has a smooth boundary and the other one has an open crack. Using the method of the potential theory and the theory of pseudodifferential equations on manifolds with boundary, the existence and uniqueness theorems are proved in Besov and Bessel-potential spaces. The smoothness and a complete asymptotics of solutions near the contact boundaries and near crack edge are studied. Properties of exponents of the first terms of the asymptotic expansion of solutions are established. Classes of isotropic, transversally-isotropic and anisotropic bodies are found, where oscillation vanishes. | |
| 540 | |a © Heldermann Verlag | ||
| 690 | 7 | |a Couple-stress elasticity |2 nationallicence | |
| 690 | 7 | |a anisotropic homogeneous medium |2 nationallicence | |
| 690 | 7 | |a asymptotic expansion |2 nationallicence | |
| 690 | 7 | |a strongly elliptic pseudodifferential equations |2 nationallicence | |
| 690 | 7 | |a potentials |2 nationallicence | |
| 773 | 0 | |t Georgian Mathematical Journal |d Walter de Gruyter GmbH & Co. KG |g 10/3(2003-09), 427-465 |x 1072-947X |q 10:3<427 |1 2003 |2 10 |o GMJ | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/GMJ.2003.427 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/GMJ.2003.427 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Chkadua |D O. |u A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: chkadua@rmi.acnet.ge | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Georgian Mathematical Journal |d Walter de Gruyter GmbH & Co. KG |g 10/3(2003-09), 427-465 |x 1072-947X |q 10:3<427 |1 2003 |2 10 |o GMJ | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||