On a vibration problem of antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies

Abstract

Vibration problem of an antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies is considered when the shear moduli depending on the body projection (i.e. on a domain lying in the plane of interest) variables may vanish on a part of the boundary of the projection.

Keywords:

• Antiplane strain
• degenerate elliptic equations
• weighted spaces
• Hardy’s inequality

AMS Subject Classifications:

• 74K25
• 74K20
• 35J70
• 35M99

Acknowledgements

The author is grateful to the referee for his suggestions and comments, which have substantially improved the paper.

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

This work is partially supported by Shota Rustaveli National Science Foundation (SRNSF) [#217596].