摘要
Although we have had the problem of dynamic thermal stress distribution solved in the surface of a cavity in some special shapes, a general solution to this problem for an arbitrary shaped cavity was still not obtained. Using the complex function method, the present paper analyzed the dynamic thermal stress distribution in the surface of an arbitrary shaped cavity subjected to a steady temperature field. Actually, not only is a general solution of this problem represented by Hankle function obtained for an arbitrary shaped cavity, but also a process to calculate the coefficient of the dynamic thermal stress distribution in the surface of an arbitrary shaped cavity is derived. For illustration, some numerical results of a circular cavity, an elliptic cavity, a lining horseshoe cavity and a square cavity are given.
Although we have had the problem of dynamic thermal stress distribution solved in the surface of a cavity in some special shapes, a general solution to this problem for an arbitrary shaped cavity was still not obtained. Using the complex function method, the present paper analyzed the dynamic thermal stress distribution in the surface of an arbitrary shaped cavity subjected to a steady temperature field. Actually, not only is a general solution of this problem represented by Hankle function obtained for an arbitrary shaped cavity, but also a process to calculate the coefficient of the dynamic thermal stress distribution in the surface of an arbitrary shaped cavity is derived. For illustration, some numerical results of a circular cavity, an elliptic cavity, a lining horseshoe cavity and a square cavity are given.
