Chapter 5 Complex-variable Methods for Plane Elasticity When solving plane problems by Cartesian coordinates or polar coordinates, the boundary of object is straight line or circular arc To other boundary, for example ellipse, hyperbola, non concentric circles and so on, we need use different curvilinear coordinates. Applying complex-variable can predigest these problems In this chapter, we just introduce the simple application of complex-variable in elasticity 55 Chapter 5 Complex-variable Methods for Plane Elasticity When solving plane problems by Cartesian coordinates or polar coordinates, the boundary of object is straight line or circular arc .To other boundary, for example ellipse, hyperbola, nonconcentric circles and so on, we need use different curvilinear coordinates. Applying complex-variable can predigest these problems. In this chapter, we just introduce the simple application of complex-variable in elasticity