Sládek, V.; Sládek, J. Boundary integral method in magnetoelasticity. (English) Zbl 0634.73115 Int. J. Eng. Sci. 26, No. 5, 401-418 (1988). This paper deals with the boundary integral formulation of solution of boundary value problems in magnetoelasticity. The study concerns a uniform, isotropic, electric conductive, and linear elastic continuum embedded in an initial constant magnetic field. The discussion includes the derivation of equations of motion in the nonrelativistic approximation, formulation of the reciprocity theorem, fundamental solutions, integral representations of the solution, and boundary integral equations. Cited in 2 Documents MSC: 74F15 Electromagnetic effects in solid mechanics 74S99 Numerical and other methods in solid mechanics 65R20 Numerical methods for integral equations Keywords:two-dimensional problems; Laplace transform domain; stress field; regularized integral representation; boundary integral formulation; boundary value problems; magnetoelasticity; uniform; isotropic; electric conductive; linear elastic continuum; initial constant magnetic field; equations of motion; nonrelativistic approximation; reciprocity theorem; fundamental solutions; integral representations PDFBibTeX XMLCite \textit{V. Sládek} and \textit{J. Sládek}, Int. J. Eng. Sci. 26, No. 5, 401--418 (1988; Zbl 0634.73115) Full Text: DOI References: [1] Cohn, J., Ann. Phys., 114, 467 (1978) [2] Nowacki, W., Dynamic Problems of Thermoelasticity (1975), Noordhoff · Zbl 0314.73072 [3] Sládek, V.; Sládek, J., Appl. Math. Modelling, 6, 374 (1982) [4] Sládek, V.; Sládek, J., Engng Anal., 1, 135 (1984) [5] Brebbia, C. A.; Walker, S., Boundary Element Techniques in Engineering (1980), Newnes-Butterworths: Newnes-Butterworths London · Zbl 0444.73065 [6] Cruse, T. A., J. Math. Anal. Appl., 22, 341 (1968) [7] Manolis, G. D.; Beskos, D. E., Int. J. numer. Meths Engng, 17, 573 (1981) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.