کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
500533 863092 2006 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dual reciprocity BEM for time-stepping approach to the transient heat conduction problem in nonlinear materials
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Dual reciprocity BEM for time-stepping approach to the transient heat conduction problem in nonlinear materials
چکیده انگلیسی

This paper presents a dual reciprocity boundary element method (DRBEM) applied to the transient heat conduction problem in temperature-dependent materials. The integral equation formulation employs the fundamental solution of the Laplace equation for homogeneous materials, and hence a domain integral arises in the boundary integral equation. This domain integral is transformed into boundary integrals by using a new set of radial basis functions. Furthermore, time derivative in the governing differential equation is approximated by the time-stepping method, and the domain integral also appears from this approximation. The domain integral corresponding to the so-called “pseudo initial condition” at each time step is also transformed into boundary integrals via the same dual reciprocity method. The details of the proposed DRBEM are presented, and a computer code is developed for three-dimensional problems. Through comparison of the results obtained by the computer code with the results by a finite difference scheme, the usefulness of the present DRBEM is demonstrated.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 195, Issues 37–40, 15 July 2006, Pages 4953–4961
نویسندگان
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