Effect of Functionally Graded Elastic Moduli for the Unidirectional Lamina

Authors: Nazik Khalid Hasan 1 & Saad Essa 2&3
1Civil Engineering Department, Erbil Polytechnic University, Erbil, Iraq
2Civil Engineering Department, Erbil Polytechnic University, Erbil, Iraq
3Civil Engineering Department, Ishik University, Erbil, Iraq

Abstract:  This paper is to justify the assumption feature of the functionally graded elastic moduli for both direction x-y and effect on the distribution of Poisson’s ratio throughout the angle of lamina fibers between 0 to 90 degrees. In addition, the failure criterion theory is studied with consequences of the change in elasticity. Tsai-Hill failure criterion is selected in the context of unidirectional (UD) composites. The elastic changes according to natural logarithm. It reveals that the condition of closed failure envelope cannot be satisfied by all UD composites and hence the constraint should be unrestrained. The Tsai-Wu principle chiefs to that failure occur whenever the distortion yields energy equals or exceeds a certain value related to the strength of the lamina. The strains and stress for both compression and tension loading are determined based on Tsai-Hill criterion which changes with fiber orientation. The results are obtained for both stress and strains under tension and compression loading.

Keywords: Unidirectional Lamina, Lamina Fiber Angle, Orthotropic Material, Tsai-Hill Criterion
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doi: 10.23918/eajse.v4i1sip70


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