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Antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies
Arch. Mech. 69 (4-5), 305-316, 2017
Keywords: antiplane strain, degenerate elliptic equations, weighted spaces, Hardy’s inequality
Abstract
Antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies are considered when the shear modulus depending on the body projection (i.e., on a domain lying in the plane of interest) variables may vanish either on a part or on the entire boundary of the projection. We study the dependence of the well-posedness of the boundary conditions (BCs) on the character of the vanishing of the shear modulus. The case of vibration is considered as well.