Behavior of Stress Components with State-Space Approach in Modified Couple Stress Thermoelastic Medium with Variable Conductivity | Chapter 10 | Research Updates in Mathematics and Computer Science Vol. 9

The present investigation of a two-dimensional problem in “modified couple stress’s thermoelastic medium for a half-space is “established and state-space approach” followed by normal mode analysis has been applied to solve the problem. In control engineering, a state-space representation is a mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations.  In this chapter, a homogeneous isotropic modified couple stress thermoelastic half space for the Lord-Shulman [L-S] model and Green-Lindsay [G-L] model has been considered. The exact expressions for normal stress, tangential stress and couple stress are obtained. These quantities are calculated numerically and depicted graphically for a special model. A particular case of interest has also been deduced from the present investigation.

 

Author (s) Details

Krishan Kumar
Department of Mathematics, DeenBandhu Chhotu Ram University of Science and Technology, Sonipat, Haryana, 131001, India.

 

Ravinder Kumar Sahrawat
Department of Mathematics, DeenBandhu Chhotu Ram University of Science and Technology, Sonipat, Haryana, 131001, India.

 

Ravinder Kumar Sahrawat
Department of Mathematics, DeenBandhu Chhotu Ram University of Science and Technology, Sonipat,  Haryana, 131001, India.

 

Please see the book here:-  https://doi.org/10.9734/bpi/rumcs/v9/549