کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
500258 | 863079 | 2007 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Two- and three-dimensional transient heat conduction and thermoelastic analyses by BEM via efficient time convolution Two- and three-dimensional transient heat conduction and thermoelastic analyses by BEM via efficient time convolution](/preview/png/500258.png)
Efficient re-integration based convolution algorithms are presented for a large class of problems involving transient two- and three-dimensional heat conduction and uncoupled thermoelastic analyses based on the earlier works of Dargush and Banerjee [G.F. Dargush, P.K. Banerjee, Application of boundary element method to transient heat conduction, Int. J. Numer. Methods Engrg. 31 (1991) 1231–1248; G.F. Dargush, P.K. Banerjee, Development of a boundary element method for time-dependent planar thermoelasticity, Int. J. Solids Struct. 25 (1989) 999–1021]. The main motivation behind the current development is the fact that the storage based convolution approach used in earlier developments was not found to be very suitable for solving large scale practical problems, because of substantial computer disk space requirement and the inability to handle time-dependent boundary conditions.In this paper, a re-integration based “full convolution” as well as an efficient and simplified re-integration based “fast convolution” algorithms are presented, in which, all of the time convolution steps have been calculated by preserving the energy balance as expressed in the convolution while assuming equivalent values of variables to represent the total effect. The accuracy and efficiency of the developed algorithms are demonstrated via numerical examples.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 196, Issues 29–30, 15 May 2007, Pages 2828–2838