Analytic and numerical solutions in the theory of elastic plates. Issue 1 (2nd January 2020)

• Record Type: Journal Article
• Authors: Constanda, Christian; Doty, Dale
• Is Part Of: Complex variables and elliptic equations. Volume 65:Issue 1(2020)
• Page Start: 40
• Page End: 56
• Publication Date: 2020-01-02
• Subjects: M. Dalla Riva; Elastic plates -- boundary value problems -- generalized Fourier series; 74K20 -- 35J57 -- 42C10; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2019.1636789
• Languages: English
• ISSNs: 1747-6933

Abstract

ABSTRACT: Numerical approximations of the solution of a boundary value problem when an exact solution is not available can be constructed by means of a variety of methods. In this paper, we present a technique that is based on the integral representation of the solution of an elliptic problem and the properties of the associated layer potentials. The procedure is illustrated in application to the mathematical model of bending of plates with transverse shear deformation in a finite domain, in the presence of Dirichlet, Neumann, and Robin conditions prescribed on the boundary.