Axes and planes of symmetry of an an isotropic elastic material

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This book deals with necessary and sufficient conditions for the existence of axes and planes of symmetry. We discuss matrix representation of an elasticity tensor belonging to a trigonal, a tetragonal or a hexagonal material. The planes of symmetry of an anisotropic elastic material (if they exist) can be found by the Cowin-Mehrabadi theorem (1987) and the modified Cowin-Mehrabadi theorem proved by Ting (1996). Using the Cowin-Mehrabadi formalism Ahmad (2010) proved the result that an anisotropic material possesses a plane of symmetry if and only if the matrix associated with the material commutes with the matrix representing the elasticity tensor. A necessary and sufficient condition to determine an axis of symmetry of an anisotropic elastic material is given by Ahmad (2010). We review the Cowin-Mehrabadi theorem for an axis of symmetry and develop a straightforward way to find the matrix representation for a trigonal, a tetragonal or a hexagonal material.

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Oorspronkelijke releasedatum: 28 december 2011

Aantal pagina's: 100

Hoofdauteur: Siddra Rana

Hoofduitgeverij: Lap Lambert Academic Publishing

Product breedte: 152 mm

Product hoogte: 6 mm

Product lengte: 229 mm

Verpakking breedte: 152 mm

Verpakking hoogte: 6 mm

Verpakking lengte: 229 mm

Verpakkingsgewicht: 159 g

EAN: 9783847326779

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