Generalized Somigliana Identity for Thermomagnetoelectroelastic Anisotropic Bodies
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2275-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2275-y | ||
| 245 | 0 | 0 | |a Generalized Somigliana Identity for Thermomagnetoelectroelastic Anisotropic Bodies |h [Elektronische Daten] |c [Ya. Pasternak, H. Sulym, R. Pasternak] |
| 520 | 3 | |a The extended Somigliana identity for thermomagnetoelectroelastic anisotropic dielectric solids is deduced. This identity does not impose restrictions on the dimensionality of the problem. The volume integral caused by the interaction of physical fields (internal temperature field and electric and magnetic loads) is reduced to the surface integral. The physical meaning of all kernels appearing in the obtained integral formula is clarified. The differential equations for the kernels are presented. The influence of external factors is taken into account with the help of convolution-type integrals, which should be found only for boundary points of the body. The obtained results are characterized both by theoretical significance and the possibilities of their practical application to the construction of the integral equations of three-, two-, and one-dimensional problems of the thermomagnetoelectroelasticity of anisotropic dielectrics and, hence, for the corresponding numerical realizations of the direct method of boundary elements. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Pasternak |D Ya |u Lutsk National Technical University, Lutsk, Ukraine |4 aut | |
| 700 | 1 | |a Sulym |D H. |u Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine |4 aut | |
| 700 | 1 | |a Pasternak |D R. |u Lutsk National Technical University, Lutsk, Ukraine |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 205/5(2015-03-01), 677-690 |x 1072-3374 |q 205:5<677 |1 2015 |2 205 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2275-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2275-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Pasternak |D Ya |u Lutsk National Technical University, Lutsk, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sulym |D H. |u Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Pasternak |D R. |u Lutsk National Technical University, Lutsk, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 205/5(2015-03-01), 677-690 |x 1072-3374 |q 205:5<677 |1 2015 |2 205 |o 10958 | ||