The traction initial-boundary value problem for bending of thermoelastic plates with cracks

Abstract

The initial-boundary value problem for bending of a thermoelastic plate weakened by a crack, with Neumann-type boundary conditions along the edges of the crack, is studied, and its unique solvability in spaces of distributions is proved by means of a combination of the Laplace transformation and variational methods.

Keywords:

• initial-boundary value problem
• variational methods
• unique solvability
• thermoelastic plates
• cracks

AMS Subject Classifications:

• 74H20
• 74K20
• 74F05
• 35Q72