Vi. Alshits et Hok. Kirchner, ELASTICITY OF MULTILAYERS .2. STRIPS, COATINGS AND SANDWICHES, Philosophical magazine. A. Physics of condensed matter. Defects and mechanical properties, 72(6), 1995, pp. 1445-1470
In multilayer structures the elastic constants vary with one coordinat
e. Applied stresses (caused by external loading) or internal stresses
(caused by dislocations) might be present. We calculate the elastic fi
elds in layered strips of finite thickness, and layered half spaces, e
ither loaded or clamped, with and without a dislocation in the interio
r. The same is done for layered coatings on a homogeneous half space,
and a layered strip sandwiched between two homogeneous half spaces. Co
mpleteness of the eigenfunctions used is proven.