This article is cited in 4 papers

Mechanical properties, strength physics and plasticity

Green’s tensor for crystals of the hexagonal system

P. N. Ostapchuk

Institute of Electrophysics & Radiation Technologies National Academy of Sciences of Ukraine

Abstract: Expressions for components of the Green’s tensor of the basic equation of the elasticity theory for hexagonal system crystals have been obtained using the Lifshitz–Rozentsveig method. A problem is in principle reduced to finding the roots of a sixth-order algebraic equation. They are either complex or purely imaginary for all known hcp metals. In both cases, the desired components of the Green’s tensor are calculated exactly in contrast to metals of the cubic system. A limiting transition to the isotropic approximation is shown.

Received: 11.05.2012

 English version: Physics of the Solid State, 2013, 55:1, 109–115

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