caa a22 4500 467952841 CHVBK 20180405193744.0 cr unu---uuuuu 170328e20050301xx s 000 0 eng 10.1007/PL00021908 doi (NATIONALLICENCE)springer-10.1007/PL00021908 (NATIONALLICENCE)springer-10.1007/s10808-005-0056-y Chernyshov A. Voronezh State Technological Academy, 394000, Voronezh aut Two-dimensional dynamic boundary-value problems for curvilinear thermoviscoelastic bodies [Elektronische Daten] [A. Chernyshov] A new numerical-analytical method is proposed and demonstrated using an example of dynamic problems of a thermoviscoelastic body. In the general formulation, the thermoviscoelastic problem is split into three simpler problems. In the first problem, boundary functions that should satisfy only boundary conditions are determined. The second problem with homogeneous boundary conditions and inhomogeneous initial conditions is reduced to an eigenvalue problem by introducing special ξ variables and separating time. This problem is solved by organizing integral superpositions with respect to the angular parameter. A linear algebraic system is obtained as a result of satisfaction of the boundary conditions at points that partition the curvilinear boundary of the body into small segments. After the eigenfunctions and eigenvalues are determined, the third problem with homogeneous boundary and initial conditions is solved by spectral decomposition of unknown functions and inhomogeneous terms in a coupled system of ordinary differential equations. Springer Science+Business Media, Inc., 2005 thermoviscoelastic medium nationallicence dynamic boundary-value problem nationallicence eigenfunctions nationallicence eigenvalues nationallicence Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Consultants Bureau 46/2(2005-03-01), 281-290 0021-8944 46:2<281 2005 46 10808 https://doi.org/10.1007/PL00021908 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00021908 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chernyshov A. Voronezh State Technological Academy, 394000, Voronezh aut NATIONALLICENCE 773 0- Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Consultants Bureau 46/2(2005-03-01), 281-290 0021-8944 46:2<281 2005 46 10808 NATIONALLICENCE 856 40 https://doi.org/10.1007/s10808-005-0056-y text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer