Abstract
This paper presents a dual reciprocity boundary element method (DRBEM) applied to the transient heat conduction problem of functionally graded materials. The functionally graded material can be modeled as an inhomogeneous one where the thermal conductivity is a continuous function of coordinates. The integral equation formulation employs the fundamental solution of Laplace equation for homogeneous materials, and hence from the inhomogeneous part of the governing differential equation 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 is approximated by the time-stepping method, and the domain integral also appears from this approximation. The domain integral concerning the "pseudo" initial condition at each time step is also transformed into boundary integral via the same dual reciprocity method. The details of the proposed DRBEM are presented, and a computer code is developed for two dimensional problems. Through comparison of the results obtained by the computer code with the result of collocation method, the usefulness of the present DRBEM is demonstrated.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
