Application of Integral Equation to Crack Problems of Elasticity and Potential Theory

Abstract

The potential theory was originated in quest of knowledge about fundamental forces of nature. Lagrange established that the field of gravitational forces is potential field, later Green named this field as potential function. But Gauss said it just potential. Potential are applied in wide range of problems of mathematical physics. Potential became very important in Dirichlet s, Naumann problems of electrostatics and Rabin problem. Modern potential theory is very closely related to analytic function. Analytic functions satisfy Laplace equation. Analytic functions have very developed domain. Therefore complex variable method is easily applied for two dimensional potential theory problems. newlineThe Potential Theory arose from the fact that the fundamental forces of nature were believed to be derived from potentials which satisfied Laplace equation. It is interesting to investigate that : How the various potential function behave on approaching and crossing the smooth or fractured boundary ? In the present research endeavour we try to find out the behavior of flux and temperature in steady state conditions for multiply connected body. newline