Книга: Siddra Rana «Axes and Planes of Symmetry of an An-isotropic Elastic Material»
|
Производитель: "LAP Lambert Academic Publishing" 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. ISBN:9783847326779 Издательство: "LAP Lambert Academic Publishing" (2011)
ISBN: 9783847326779 |
См. также в других словарях:
Orthotropic material — Wood is an example of an orthotropic material. Material properties in three perpendicular directions (axial, radial, and circumferential) are different. An orthotropic material has two or three mutually orthogonal twofold axes of rotational… … Wikipedia
solids, mechanics of — ▪ physics Introduction science concerned with the stressing (stress), deformation (deformation and flow), and failure of solid materials and structures. What, then, is a solid? Any material, fluid or solid, can support normal forces.… … Universalium
Bending — For other uses, see Bending (disambiguation). Flexure redirects here. For joints that bend, see living hinge. For bearings that operate by bending, see flexure bearing. Continuum mechanics … Wikipedia
mechanics — /meuh kan iks/, n. 1. (used with a sing. v.) the branch of physics that deals with the action of forces on bodies and with motion, comprised of kinetics, statics, and kinematics. 2. (used with a sing. v.) the theoretical and practical application … Universalium
Channelling (physics) — Channelling is the process that constrains the path of a charged particle in a crystalline solid. Many physical phenomena can occur when a charged particle is incident upon a solid target, e.g., elastic scattering, inelastic energy loss processes … Wikipedia
metallurgy — metallurgic, metallurgical, adj. metallurgically, adv. metallurgist /met l err jist/ or, esp. Brit., /meuh tal euhr jist/, n. /met l err jee/ or, esp. Brit., /meuh tal euhr jee/, n. 1. the technique or science of working or heating metals so as… … Universalium
