Strength Prediction for Composite Plates with an Inclined Elliptical Hole

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STRENGTH PREDICTION FOR COMPOSITE PLATES WITH AN INCLINED ELLIPTICAL HOLE

M. J. Lin,1 K. H. Tsai,2 and C. L. Hwan1*

Keywords: strength, composite plate, point stress criterion, elliptical hole Up to now, the notched strength of a composite laminate containing an inclined elliptical hole at its center has not yet been predicted by researchers due to the absence of an appropriate failure criterion and an analytical solution. In this study, this problem is tackled by using a finite-element-based procedure, developed previously by the authors, together with a modified point stress criterion. The predicted notched strengths of composite plates containing a central inclined elliptical hole agreed well with experimental results.

1. Introduction In the practical application of composite materials in related industries, it is often necessary to make holes or grooves at the surfaces or edges of boards to facilitate mechanical connections, overlaps, and the passage of pipelines [1]. These holes or grooves directly affect the mechanical properties of composite plates. Therefore, it is very important to analyze and predict the notched strengths of composite plates by using an appropriate failure criterion. However, up to now, researchers have mainly focused on studying the notched strengths and failure criteria for composite plates containing a circular hole at their center or two interacting holes [2-12]. Only some of them have conducted a stress analysis of composite laminates containing an elliptical hole at their center and have investigated the failure modes of such plates [13-18]. Sometimes, a composite plate may contain a central inclined elliptical hole, and thus the load applied to its boundary may not necessarily be perpendicular to the major axis of the hole [19]. Hence, it is a real problem how to predict the notched strength of such a composite plate. This problem is geometrically asymmetric, and the tensile failure mode

Department of Mechanical and Computer Aided Engineering, Feng Chia University, Taichung, Taiwan 40724, Taiwan, R.O.C. Department of Fiber and Composite Materials, Feng Chia University, Taichung, Taiwan 40724, Taiwan, R.O.C. * Corresponding author; tel.: +886-4-24517250 ext. 3534; e-mail: [email protected] 1 2

Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 56, No. 5, pp. 905-918, SeptemberOctober, 2020. Original article submitted December 27, 2019; revision submitted April 27, 2020. 0191-5665/20/5605-0619 © 2020 Springer Science+Business Media, LLC

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is different from those observed in tensile tests of composite plates containing a circular or noninclined elliptical hole at their center [1-18]. Owing to the complexity of this problem, its solution has not been found up to now. Recently, to avoid using an analytical solution in the complicated stress analysis with a traditional point stress criterion (PSC) [2], Tsai et al. proposed a new, finite-element-based point stress criterion (FEBPSC) [20] for predicting the notched strengths of composite plates, which provid