Antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies

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Authors

  • N. Chinchaladze Iv. Javakhishvili Tbilisi State University, Faculty of Exact and Natural Sciences and I. Vekua Institute of Applied Mathematics, Georgia
  • G. Jaiani Iv. Javakhishvili Tbilisi State University, Faculty of Exact and Natural Sciences and I. Vekua Institute of Applied Mathematics, Georgia

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.

Keywords:

antiplane strain, degenerate elliptic equations, weighted spaces, Hardy”™s inequality