EQUILIBRIUM PROBLEM FOR A THERMOELASTIC KIRCHHOFF-LOVE PLATE WITH A DELAMINATED RIGID INCLUSION.

Autor: LAZAREV, N., SHARIN, E., SEMENOVA, G.
Předmět:
Zdroj: TWMS Journal of Applied & Engineering Mathematics; 2023, Vol. 13 Issue 2, p591-601, 11p
Abstrakt: A new variational problem on the equilibrium of a thermoelastic heterogeneous Kirchhoff-Love plate is considered in a domain with a cut. The cut corresponds to an interfacial crack located on a part of the boundary of a rigid inclusion. We suppose that the plate is under the special loads for which the configuration of crack's edges is known a priori. This assumption allows us to rewrite the well known nonpenetration condition for Kirchhoff-Love plates in a refined form, which, in turn, leads to new relations describing the possible mechanical interaction of opposite crack edges. Displacements on the rigid inclusion satisfy special constraints having a linear form. Solvability of the problem is proved, an equivalent differential statement is found. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index