Please use this identifier to cite or link to this item:
|Title:||Remarks on explicit strong ellipticity conditions for anisotropic or pre-stressed incompressible solids|
|Keywords:||Explicit conditions;Elastic stiffness tensor;Ellipticity;Orthorhombic incompressible;Isotropic solids|
|Publisher:||Oxford University Press (OUP)|
|Citation:||Quarterly Journal of Mechanics and Applied Mathematics, 69(1): pp. 67-81, (2015)|
|Abstract:||We present a set of explicit conditions, involving the components of the elastic stiffness tensor, which are necessary and sufficient to ensure the strong ellipticity of an orthorhombic incompressible medium. The derivation is based on the procedure developed by Zee & Sternberg (Arch. Rat. Mech. Anal., 83, 53-90 (1983)) and, consequently, is also applicable to the case of the homogeneously pre-stressed incompressible isotropic solids. This allows us to reformulate the results by Zee & Sternberg in terms of components of the incremental stiffness tensor. In addition, the resulting conditions are specialized to higher symmetry classes and compared with strong ellipticity conditions for plane strain, commonly used in the literature.|
|Appears in Collections:||Dept of Mathematics Research Papers|
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.