The solvability is investigated of the equations of bending of plates when either the first two displacement components and the transverse shear force or the bending and twisting moments and the deflection are prescribed on the boundary of the middle section domain. These problems are then reduced to boundary integral equations, whose solutions are sought in spaces of distributions.
- boundary integral equations
- weak solutions
- elastic plates
Chudinovich, I., & Constanda, C. (2001). Combined displacement-traction boundary value problems for elastic plates. Mathematics and Mechanics of Solids, 6(2), 175-191. https://doi.org/10.1177/108128650100600204