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Piecewise hierarchical \(p\)-version curved shell finite element for heat conduction in laminated composites. (English) Zbl 0798.73051
This paper presents a nine-node three-dimensional curved shell finite element formulation for linear steady-state heat conduction in laminated composites where the temperature approximation for the laminate is piecewise hierarchical and is derived based on the \(p\)-version. The temperature approximation for the element is developed first by establishing a hierarchical temperature approximation for each laminate and then by imposing inter-lamina continuity conditions on temperature at the interface between the laminas. The approximation functions and the nodal variables for a lamina are derived directly from the Lagrange family of interpolation functions.

74S05 Finite element methods applied to problems in solid mechanics
74K15 Membranes
74E30 Composite and mixture properties
80A20 Heat and mass transfer, heat flow (MSC2010)
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