A general solution for three-dimensional problems of anisotropic elasticity
Abstract eng: Clifford 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.
Publisher:
International Union of Theoretical and Applied Mechanics, 2016
Conference Title:
Conference Title:
24th International Congress of Theoretical and Applied Mechanics
Conference Venue:
Montreal (CA)
Conference Dates:
2016-08-21 / 2016-08-26
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.
Record appears in:
Record created 2016-11-15, last modified 2016-11-15