Vol.17, No.3, 2017, pp.193–201 |
THERMO-ELASTIC-PLASTIC TRANSITION IN TORSION OF COMPOSITE THICK-WALLED CIRCULAR CYLINDER SUBJECTED TO PRESSURE Sanjeev Sharma^{1}, Pankaj Thakur^{2}, Richa Sharma^{3}, R.K. Bhardwaj^{4}, Zoran Radaković^{5} ^{1)}Department of Mathematics, Jaypee Institute of Information Technology, Noida, India sanjiit12@rediffmail.com ^{2)}Department of Mathematics, ICFAI University, Baddi, Solan, Himachal Pradesh, India ^{3)}Department of Mathematics, SBSR, Sharda University, Greater Noida, India ^{4)}Department of Physics, ICFAI University, Baddi, Solan, Himachal Pradesh, India ^{5)}University of Belgrade, Faculty of Mechanical Engineering, Belgrade, Serbia |
Abstract The purpose of this paper is to present study of thermo- elastic-plastic transition in torsion of composite thick-walled circular cylinder subjected to pressure. The concept of transition theory is applied to evaluate shear stresses in a cylinder under torsion. Generalized strain measures are used to simplify the fundamental equations. It has been deduced from the analysis of stresses in the cylinder that in case of torsion, the cylinder of less non-homogeneous material without temperature is a safe design in comparison to the cylinder of highly non-homogeneous material with or without thermal effects, because shear stresses are maximal for the cylinder of less non-homogeneous material without thermal effects than for the non-homogeneous cylinder of high compressibility. Keywords: cylinder, torsion, pressure, functionally graded material, temperature |
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