Closed-form solution of an arbitrarily laminated, anisotropic, elliptic plate under uniform pressure

Abstract

A dosed-form solution for an arbitrarily laminated, anisotropic plate subjected to uniform loading is presented here for the first time. The theory used is the well-established theory of thin, heterogeneous, anisotropic plates due to Reissner and Stavsky. All components of the stretching, bending-stretching coupling, and bending stiffness matrices are included. The specific geometry considered is an elliptic plate clamped both flexurally and in-plane at its edge.

A mechanical model for predicting critical thrust forces in drilling composite laminates

“…. (19) Finally, substituting equation (17) into equations (12) to (14), the solutions for the displacements u, v and ! can be obtained as…”

“…In addition, K is expressed by equation (19). Thus, an expression has been derived for critical thrust forces below which delamination will not take place.…”

Optimal control of thrust force for delamination-free drilling in glass-fiber-reinforced plastic laminates

“…14 Work energy produced by thrust force higher than critical limit cracks the composite laminate around the hole in a circular or elliptical shape and increases internal energy resulting in delamination. 15 Critical thrust force during drilling, below which no delamination occurs in a composite laminate, can be obtained using linear elastic fracture mechanics (LEFM) theory. 12,15–19 Critical thrust force can be experimentally correlated with the feed-rate using curve fitting.…”

“…15 Critical thrust force during drilling, below which no delamination occurs in a composite laminate, can be obtained using linear elastic fracture mechanics (LEFM) theory. 12,15–19 Critical thrust force can be experimentally correlated with the feed-rate using curve fitting. 17…”

On free vibration response and mode shapes of arbitrarily laminated rectangular plates

“…The performance and accuracy of such elements are determined comparing the numerical results obtained from analytical approaches, considered as base line solutions. Recent publications presented in depth reviews on the availability of the analytical solutions [1][2][3][4][5][6][7][8][9] of laminated plates and their limitations with respect to the boundary conditions and the thin plate theory. Therefore, they are not repeated here for the sake of brevity.…”