Abstract: A new model of a Kirchho -Love plate which is in contact with a rigid obstacle of a certain given configuration is proposed in the paper. The plate is in contact either on the side edge or on the bottom surface. A corresponding variational problem is formulated as a minimization problem for an energy functional over a non-convex set of admissible displacements subject to a non-penetration condition. The inequality type non-penetration condition is given as a system of inequalities that describe two cases of possible contacts of the plate and the rigid obstacle. Namely, these two cases correspond to di erent types of contacts by the plate side edge and by the plate bottom. The solvability of the problem is established. In particular case, when contact zone is known equivalent di erential statement is obtained under the assumption of additional regularity for the solution of the variational problem.

Cite: Lazarev N.P. , Rudoy E.M. , Nikiforov D.
Equilibrium Problem for a Kirchhoff-Love Plate Contacting by the Side Edge and the Bottom Boundary
Journal of Siberian Federal University - Mathematics and Physics. 2024. V.17. N3. P.355-364. WOS Scopus РИНЦ

Dates:

Submitted:	Mar 10, 2023
Accepted:	Feb 14, 2024

Identifiers:

Web of science:	WOS:001238317800006
Scopus:	2-s2.0-85195310878
Elibrary:	67225246

Citing: Пока нет цитирований