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MULTI-OBJECTIVE OPTIMISATION OF INVERSE HEAT

CONDUCTION PROBLEM USING EVOLUTIONARY ALGORITHMS

T.Venkata Seshaiah Naidu 1,a, S. Deva Prasad1 and V. Pandurangadu 2

1 Department of Mechanical Engineering, Vardhaman College of Engineering, Shamshabad,

Hyderabad, A.P.

2Department of Mechanical Engineering, JNTUA College of Engineering, Anantapur, A.P.

(a Corresponding author, e-mail: tvsn79@gmail.com)

Inverse heat conduction problem (IHCP) arises in the modeling and control of processes with

heat propagation in thermophysics and mechanics of continuous media. Many manufacturing

processes and tribological applications involve relative sliding of two bodies with thermal

energy generated at the contact region due to either plastic deformation or friction, e.g. heat

generated in machining due to plastic deformation in the primary shear zone or sliding of the

chip past the tool face resulting in frictional heat at the interface. The sliding system (e.g.

washer on disk, pin on disk) is approximated initially to an infinitely long band heat source

with uniform distribution of heat intensity. Modeling, analysis and prediction of this

phenomenon is particularly challenging.

The IHCP analysis method provides an efficient approach for estimating the thermo

physical properties of materials, the boundary conditions, or the initial conditions. A direct

integral method using hyperbolic regularization to solve the IHCP is derived and investigated

(D.A. Murio, C.C. Roth. 1998) after weber, who replaced the heat conduction equation with

an approximately hyperbolic one, obtaining a formally well-posed problem.. Analyticalsolutions were developed for the temperature rise distribution for the classical case of a

tribological sliding system due to frictional heat source at the interface (Komanduri and Hou

2001).

This work investigates the case of IHCP, multi-objective case, through the application

of evolutionary algorithms in finding the heat transfer coefficient, h, and heat flux, q, values

for the classical tribological sliding system at the interface due to frictional resistance offered.

Results obtained from three different approaches are compared and evaluated. The validity of

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the results is compared with reference to the experimental results presented in literature (Lin,

Chou, and Yang. 1996.

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