Flexural behaviour of a curved orthotropic beam on an elastic foundation

Abstract

This paper is concerned with the mechanical behaviour of a curved orthotropic beam on an elastic foundation under flexural loading. The differential equation in this case is derived from forcemoment equilibrium consideratios and classical laminated orthotropic plate theory. General solutions for various loading conditions are derived using a stress function approach. Finally, the effects of various parameters such as the anisotropy ratio, foundation modulus and radius of the beam on stresses are presented from a design perspective.

Delamination modelling of a curved composite beam subjected to an opening bending moment

“…Previous work [6,7] also shows that the radius of curvature R has a major effect on the maximum through-thickness tension stress and consequently M 0 . It is known that a larger R leads to a smaller through-thickness tensile stress, which results in a larger critical bending moment, provided that other parameters are all constant.…”

“…According to previous work [6,7], the maximum through-thickness tension stress in a curved orthotropic beam always exists at a location very close to mid-plane, so it is assumed here that the occurrence and growth of the delamination is just at the mid-plane. From the above approach, the ®nal solution can be deduced:…”

Study on the Settlement of Tunnel Bottom and Pressure of Rock Mass Based on Curved Beam on Elastic Foundation Theory

“…This method was also adopted to calculate the interlaminar tensile stress for four point bending experiment of curved beam (ASTMD6415/D6415M-06a) [12]. Shenoi et al [13], Arici et al [14] established the model for bending behaviour of elastically curved beams and obtained the elastic solution of the anisotropic beam. Higher-order shear deformation theory can accurately calculate in-plane deformation and stress for shell structure with span to thickness ratio than four, but cannot calculate the interlaminar stresses for composite plates and shells [15,16].…”

Stiffness matrices of thin-walled composite beam with mono-symmetric I- and channel-sections on two-parameter elastic foundation

“…In order to keep abreast of the developments in composites and to fully understand the mechanical response of composite construction to loading, it is essential that the appropriate knowledge is made available through the publication of advanced composite research in the open literature [41][42][43].…”