000014207 001__ 14207
000014207 005__ 20161115100144.0
000014207 04107 $$aeng
000014207 046__ $$k2016-08-21
000014207 100__ $$aLiu, Li-Wei
000014207 24500 $$aA general solution for three-dimensional problems of anisotropic elasticity

000014207 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014207 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014207 506__ $$arestricted
000014207 520__ $$2eng$$aClifford algebra and Clifford analysis, which are the m-dimensional extensions of complex algebra and complex analysis are applied to solve three-dimensional problems of anisotropic elasticity. Using the coordinate transformation as what is done in the Lekhnitskii formalism or the Stroh formalism for two-dimensional problems, we convert the governing equations of three-dimensional elasticity of anisotropic materials into eigenvalue problems taking values of Clifford numbers. After solving the eigenvalue problems with the aid of Clifford analysis, we obtain a truly three-dimensional general solution of anisotropic elasticity.

000014207 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014207 653__ $$a

000014207 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014207 720__ $$aLiu, Li-Wei
000014207 8560_ $$ffischerc@itam.cas.cz
000014207 8564_ $$s57395$$uhttps://invenio.itam.cas.cz/record/14207/files/PO.SM04-1.13.227.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1968, code PO.SM04-1.13.227
.
000014207 962__ $$r13812
000014207 980__ $$aPAPER