caa a22 4500 378878549 CHVBK 20180305123426.0 cr unu---uuuuu 161128e200309 xx s 000 0 eng 10.1515/GMJ.2003.427 doi (NATIONALLICENCE)gruyter-10.1515/GMJ.2003.427 Chkadua O. A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: chkadua@rmi.acnet.ge Solvability and Asymptotics of Solutions of Crack-Type Boundary-Contact Problems of the Couple-Stress Elasticity [Elektronische Daten] [O. Chkadua] 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. © Heldermann Verlag Couple-stress elasticity nationallicence anisotropic homogeneous medium nationallicence asymptotic expansion nationallicence strongly elliptic pseudodifferential equations nationallicence potentials nationallicence Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 10/3(2003-09), 427-465 1072-947X 10:3<427 2003 10 GMJ https://doi.org/10.1515/GMJ.2003.427 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/GMJ.2003.427 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chkadua O. A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: chkadua@rmi.acnet.ge NATIONALLICENCE 773 0- Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 10/3(2003-09), 427-465 1072-947X 10:3<427 2003 10 GMJ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter