Amol Madhav Khatkhate , R. Mannoj Paul Singh^{* }and P. T Mirchandani

Dept. of. Mechanical Engineering, Rizvi College of Engineering, Mumbai, India, 400050.

Corresponding author Email: amol.khatkhate@gmail.com

**ABSTRACT:**

A parametric approach has been used to derive an approximate formula for the prediction of the radius of curvature of a thin bimetallic strip that at initial ambient temperature, is both flat and straight, but at above ambient temperature, forms into an arc of a circle. The formula enables the evaluation of the radius of curvature of the strip as a function of heating or cooling. A formula for calculating the radius of curvature of a bimetallic strip already exists, and was produced by Timoshenko in his paper on Bimetallic Thermostats. The formula by Timoshenko has been vigorously tested, tried and proven and accepted in countless papers and journals since its original publication. The parametric approach solution introduced in this work gives an approximate solution to the Timoshenko formula for equal thicknesses of two mating metals within the bimetallic. The *Khatkhate Singh Mirchandani* *(KSM)* formula presented here is taken from the first order approximation derived by Angel and Haritos by incorporating the ratio of Young's modulus of the bimetallic materials. Furthermore, researchers in this area have proven that the Young's modulus does not have a significant effect on the radius of curvature. Taking this fact into consideration, the authors have suitably incorporated a correction modifier purely based on the coefficient of thermal expansion (CTE) of the materials. The simulation results and the overall close agreement with the Timoshenko formula has been put forward here. Also, the solution derived by the authors *Khatkhate et.al *shows better prediction as compared to the solutions derived by other researchers.

**KEYWORDS:**bimetallic strip; INVAR 36; Timoshenko; low coefficient of expansion (CTE)

Copy the following to cite this article:Khatkhate A. M, Singh R. M. P, Mirchandani P. T. An Elastic Moduli Independent Approximation to the Radius of Curvature of the Bimetallic Strip. Mat.Sci.Res.India;14(1) |

Copy the following to cite this URL:Khatkhate A. M, Singh R. M. P, Mirchandani P. T. An Elastic Moduli Independent Approximation to the Radius of Curvature of the Bimetallic Strip. Mat.Sci.Res.India;14(1). Available from: http://www.materialsciencejournal.org/?p=5712 |