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ISSN Online: 2377-424X

ISBN Print: 0-89116-559-2

International Heat Transfer Conference 8
August, 17-22, 1986, San Francisco, USA

Isoparametric Transition Finite Elements With Temperature Gradients For Axisymmetric Heat Conduction

Get access (open in a dialog) DOI: 10.1615/IHTC8.3470
pages 337-347

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.