2016/11/30 by Natalia Chinchaladze, Chinchaladze, N., George Jaiani +1
Engineering · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Elasticity and Wave Propagation #Hardy’s inequality #Material Science and Thermodynamics #antiplane strain #degenerate elliptic equations #weighted spaces
paper · doi:10.24423/aom.2533
openalex publication_date 2016/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/01
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.