Analysis of Multiholed Orthotropic Laminated Plates by the Boundary-Point-Least-Squares Method

Abstract

The paper describes the application of boundary-point-least-squares method (BPLS) for the determination of stresses in multiply connected finite orthotropic plates under plane stress. Series solutions composed of mapping functions are employed. Numerical solutions presented include the case of an orthotropic plate with an elliptical hole with orientation noncoincident with the material axes.

Response of composite plates with inclined elliptical notches and subjected to axial compression

“…The case of an inclined narrow elliptical hole in a specially orthotropic square plate as given in Ref. 6 was solved and the results are compared with results from the present analysis in Fig. 4.…”

“…A value for the ratio of the number of equations to the number of terms of 1.5 to 3.0 is suggested in Ref. 6. The over-determined system of equations is represented by the generalized matrix form A X = B (13) where A denotes the matrix of coefficients from the truncated series and B is the vector of boundary conditions.…”

“…Sampath and Hulbert [6] determined stress distributions in finite orthotropic laminates with multiple holes. They also investigated the stress concentrations around an inclined elliptical hole in a specially-orthotropic laminated plate.…”

Elliptical inhomogeneity in orthotropic composite materials due to uniform eigenstrains

“…However, most investigations have been restricted to the case of isotropy. For anisotropy, different techniques such as complex representation [8][9][10], Green's function [11,12], integral transform [13], singular integral equation method [14,15] and Stroh formalism [16], have been proposed for the analysis of inclusion problems and hole problems [11,12,[17][18][19][20][21][22][23][24][25].…”