The purpose of the research is to construct the method of the boundary integral equations (BIEM) for solving a transient value problem of coupled thermoelastodynamics. The following problems have been solved: (i)) the influence of the temperature on the character of distribution of thermoelastic waves was investigated; (ii) The thermoelastic statement of media in two- and three-dimensional cases was considered under by action of the non-stationary concentrated mass forces and thermal sources; (iii) Two types of Tensors of fundamental stresses were constructed, their properties were investigated, and their asymptotics were constructed; (iv) the dynamical analogue of Formula of Gauss. The BIEM for the thermostresses condition of media was developed at the given non-stationary loadings and thermal flow on its border in bounds in two- and three-dimensional cases.
Dynamical analogue of formulae of Gauss of transient problems of thermoelastodynamics
10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 ; 2014 ; Narvik, Norway
AIP Conference Proceedings ; 1637 , 1 ; 26-36
2014-12-10
11 pages
Conference paper
Electronic Resource
English
American Institute of Physics | 2012
|On some Gauss and Lobatto based integration formulae.
NTRS | 1968
|Discrete Models of the Harmonic Oscillator and a Discrete Analogue of Gauss' Hypergeometric Equation
British Library Online Contents | 2001
|Springer Verlag | 2013
|GAUSS : list of Gauss camera documents
TIBKAT | 1994