Elastic layers bonded to flexible reinforcements

Abstract

Elastic layers bonded to reinforcing sheets are widely used in many engineering applications. While in most of the earlier applications, these layers are reinforced using steel plates, recent studies propose to replace ''rigid'' steel reinforcement with ''flexible'' fiber reinforcement to reduce both the cost and weight of the units/systems. In this study, a new formulation is presented for the analysis of elastic layers bonded to flexible reinforcements under (i) uniform compression, (ii) pure bending and (iii) pure warping. This new formulation has some distinct advantages over the others in literature. Since the displacement boundary conditions are included in the formulation, there is no need to start the formulation with some assumptions (other than those imposed by the order of the theory) on stress and/or displacement distributions in the layer or with some limitations on geometrical and material properties. Thus, the solutions derived from this formulation are valid not only for ''thin'' layers of strictly or nearly incompressible materials but also for ''thick'' layers and/or compressible materials. After presenting the formulation in its most general form, with regard to the order of the theory and shape of the layer, its applications are demonstrated by solving the governing equations for bonded layers of infinite-strip shape using zeroth and/or first order theory. For each deformation mode, closed-form expressions are obtained for displacement/stress distributions and effective layer modulus. The effects of three key parameters: (i) shape factor of the layer, (ii) Poisson's ratio of the layer material and (iii) extensibility of the reinforcing sheets, on the layer behavior are also studied.

Experimental and Analytical Investigation on Fiber Reinforced Elastomeric Isolator: Review

“…Therefore, FEA of the liquid storage tank was performed in both isolated and unisolated configuration which result in expected acceleration reduction and period shift were and the validity of the design choices was documented and verified by modal analysis as well as displacement and stress checking. Pinarbasi, Mengi et al [2008] in this study, a new formulation is presented for the analysis of elastic layers bonded to flexible reinforcements under uniform compression, pure bending and pure warping. The displacement boundary conditions are included in the formulation, there is no need to start the formulation with some assumptions.…”

Stiffness Analysis of Rectangular Isolators Reinforced by Engineering Plastics

“…Integrating equations (20) and (21) with respect to x and y, respectively, and then substituting boundary conditions into them, the following equations are obtained:…”

“…ey considered the fibers laid out in two orthogonal directions and simply overlapped, and the fibers did not sustain shear stress. Pinarbasi and Mengi [21] solved the stress and modulus solutions of fiber-reinforced isolators without the assumptions of pressure solution method. But the equations were complex, and only the solutions for strip-shaped isolators were achieved.…”

Compression of solid and annular circular discs bonded to rigid surfaces

“…Recently, a new analytical formulation was presented by Pinarbasi et al (2006) to analyze linear behavior of elastic layers bonded to rigid surfaces, which has recently been extended to elastic layers bonded to flexible reinforcements (Pinarbasi and Mengi, 2008). In these studies, the formulation was presented in Cartesian coordinates to obtain general equations that can be applied to various shapes, such as, infinite-strip, square and rectangular shapes.…”