| dc.creator | VOLODYMYR ZOZULYA | |
| dc.date | 2013-06-30 | |
| dc.date.accessioned | 2023-07-21T19:16:05Z | |
| dc.date.available | 2023-07-21T19:16:05Z | |
| dc.identifier | http://cicy.repositorioinstitucional.mx/jspui/handle/1003/108 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7735730 | |
| dc.description | A high order theory for linear thermoelasticity and heat conductivity of shells has been developed. The proposed theory is based
on expansion of the 3D equations of theory of thermoelasticity and heat conductivity into Fourier series in terms of Legendre
polynomials. The first physical quantities that describe thermodynamic state have been expanded into Fourier series in terms of
Legendre polynomials with respect to a thickness coordinate. Thereby all equations of elasticity and heat conductivity including
generalized Hooke’s and Fourier’s laws have been transformed to the corresponding equations for coefficients of the polynomial
expansion. Then in the same way as in the 3-D theories system of differential equations in terms of displacements and boundary
conditions for Fourier coefficients has been obtained. First approximation theory is considered in more detail. The obtained
equations for the first approximation theory are compared with the corresponding equations for Timoshenko’s and KirchhoffLove’s
theories. Special case of plates and cylindrical shell is also considered, and corresponding equations in displacements are
presented. | |
| dc.format | application/pdf | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
| dc.subject | info:eu-repo/classification/cti/7 | |
| dc.subject | info:eu-repo/classification/cti/7 | |
| dc.title | A High Order Theory for Linear Thermoelastic Shells: Comparison with Classical Theories | |
| dc.type | info:eu-repo/semantics/article | |
