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        A Three-Dimensional Micro-Mechanical Model for Predicting the Layer Longitudinal Compression Strength of Composite Laminates

        Yousef S. Al Rjoub,Karim S. Numayr,Butainah M. Al-Qudah 대한토목학회 2016 KSCE JOURNAL OF CIVIL ENGINEERING Vol.20 No.4

        A three-dimensional micro-mechanical model for predicting the compressive strength of composite laminates is presented in this paper. The effect of initial misalignment of fiber angle on the compressive strength of fibrous composites is investigated. The compressive strength of fibrous composites is estimated using the actual initial misalignment of fibers in the rotated plane. The initial misalignment angles in both directions are defined as a curve in the form of a cosine function. Equilibrium equations are then derived for a Representative Volume Element (RVE) along the axis of the fibers using total potential energy principle. Minimization of the total potential energy with respect to the amplitudes defined by the initial waviness function of the fibers yields a formula used to define the maximum compressive strength of fibrous composite materials. The formula obtained in this paper is used to study continuous fiber/polymer matrix composites. The results obtained by the model presented in this paper are in a good agreement with experimental data obtained from compression tests on [±60ο/0ο] specimens and theoretical results available in the literature.

      • KCI등재

        Free Vibration of Functionally Euler-Bernoulli and Timoshenko Graded Porous Beams using the Transfer Matrix Method

        Yousef S. Al Rjoub,Azhar G. Hamad 대한토목학회 2017 KSCE JOURNAL OF CIVIL ENGINEERING Vol.21 No.3

        In this paper, an analytical method is developed to study the dynamic behavior of functionally imperfect Euler-Bernoulli and Timoshenko graded beams with differing boundary conditions, namely, hinged-hinged, clamped-clamped, clamped-hinged, and clamped-free. A transfer matrix method is used to obtain the natural frequency equations. The modified rule of mixture is used to describe the material properties of the functionally graded beams having porosities. The porosities are assumed to be evenly distributed over the beam cross-section. In this study, the effects of boundary conditions, material volume fraction index, slenderness ratio, beam theory, and porosity on natural frequency are determined. The present results are validated with results available in the literature.

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