Closed-form Expressions of Generalized Conforming Triangular Finite Element for Thermal Bending Analysis of Thin Plate
Keywords:thermal bending, thin plate, generalized conforming element
The generalized conforming triangular finite element for thermal bending analysis of thin plate caused by the temperature difference along the plate thickness is developed. The finite element formulation with detailed finite element matrices is derived based on the modified potential energy principle and the generalized compatibility conditions. The closed-form expressions of the stiffness matrix and the thermal loading which can be applied directly to the computer program are also derived and presented. The performance of the generalized conforming triangular element is evaluated by several examples of which the exact solutions are known. The results demonstrate that the generalized conforming triangular element performs very well for thermal bending analysis of thin plate.
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