...Yingwei Yun; Il-Young Jang; Liqiang Tang This paper presented the stress distribution in a thick walled cylinder under thermal shock. Dirac function was introduced to model thermal shock. An analytical solution of the temperature field was obtained by Laplace transform. Based on the temperature...

... thermal loading to a previously derived unit kernel for tubular geometries. Approximate rules for direct and inverse Laplace transformations were then used to modify the resulting Volterra equation to an algebraically solvable and relatively simple form. The desired thermoelastic stress distributions were...

.... Generalization of the temperature excitation was achieved by using a versatile polynomial composed of integral-and half-order terms. In order to avoid the difficult and potentially error prone evaluation of functions with complex arguments, Laplace transformation and a ten-term Gaver-Stehfest inversion formula...

... October 2003 05 05 2004 creep buckling viscoelasticity elastic moduli reliability sensitivity pipelines Laplace transforms Plastic pipes are increasingly used as barriers for internal pressure. For example, there are more than 600,000 miles of plastic natural gas distribution...