ISSN Online: 2377-424X
ISBN Print: 0-89116-559-2
International Heat Transfer Conference 8
Isoparametric Transition Finite Elements With Temperature Gradients For Axisymmetric Heat Conduction
Resumo
This paper presents finite element formulation for a special class of elements referred to as 'transition finite elements' for axisymmetric heat conduction. The transition elements are necessary in applications requiring the use of both axisymmetric solid elements and axisymmetric shell elements. The elements permit transition from the solid portion of the structure to the shell portion of the structure. A novel feature of the formulation presented here is that nodal temperatures as well as nodal temperature gradients are retained as primary variables. The weak formulation of the Fourier heat conduction equation is constructed. The element temperature field is approximated in terms of element approximation functions, nodal temperatures and the nodal temperature gradients. The properties of the transition elements are then derived using the weak formulation and the element temperature approximation. Numerical examples are presented to illustrate the accuracy of the formulation. Results are also compared with the theoretical solutions.