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Mathematical Modeling of Elastic Plastic Transitional Stresses in CNT-GS based Hybrid Nanocomposite Thin Walled Spherical Pressure Vessels

In this paper, an analytical solution is being provided for calculation of elastic plastic transitional stresses in Hybrid Nanocomposite made of Carbon Nano Tubes (CNT) and Graphene Sheets (GS) modeled in the form of thin walled Spherical shells, subjected to radial compression at the internal surface. The results are compared with a general use Carbon Nano Tubes based nanocomposite. The transition function given by Seth is being used to obtain the pressure at which the initial yielding takes place. The trends for radial and circumferential transitional stresses are obtained using the elastic stiffness constants obtained from young’s moduli, shear moduli and poisson’s ratios of the materials at the initial yielding and fully plastic state. The expressions for principal stresses are derived from the transition function considering the material anisotropy.