×

zbMATH — the first resource for mathematics

Finite element formulation of a heat transfer problem for an axisymmetric composite structure. (English) Zbl 1103.80006
This paper deals with the finite element formulation of the heat transfer problem for orthotropic materials, where a triangle element with three nodes and a quadrilateral element with four nodes are used. Four examples are presented to illustrate the effect of the material thermal conductive anisotropy on a temperature field. Also the accuracy and efficiency of this method are proved.

MSC:
80M10 Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer
80A20 Heat and mass transfer, heat flow (MSC2010)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Ozisik MN, Sawaf B (1995) Determining the constant thermal conductivities of orthotropic materials by inverse analysis. Int Commun in Heat and Mass Transfer 22(2):201–211 · doi:10.1016/0735-1933(95)00005-4
[2] Ozisik MN (1993) Heat Conduction P.617, Wiley, New York
[3] Nye JF (1967) Physical Properties of Crystals, P.193, Clarendon Press, Oxford
[4] Dowding K, Beck J (1996) Estimation of directional-dependent thermal properties in a carbon-carbon composite. Int J Heat Mass Transfer 39:3157–3164 · doi:10.1016/0017-9310(95)00401-7
[5] Dowding K, Beck J, Ulbrich A, Blackwell B, Hayes J (1995) Estimation of thermal propetities and surface heat flux in a cabon-carbon composite material. J Thermophys Heat Transfer 9:345–351 · doi:10.2514/3.666
[6] Osman AM, Beck J (1990) Investigation of transient heat transfer coefficients in quenching experiments. J Heat Transfer 112:843–848 · doi:10.1115/1.2910490
[7] Tsu T, Sun NG, Gong Z (1992) Finite element formulation for two-dimensional inverse heat conduction analysis. J Heat Transfer 114:553–557 · doi:10.1115/1.2911317
[8] Ootao Y, Tanigawa Y (2002) Transient thermal stresses of angle-ply laminated cylinfrical panel due to nonuniform heat supply in the circumferential direction. Composite Struct 55:95–103 · doi:10.1016/S0263-8223(01)00132-5
[9] Jiarang F, Hongyu S (1997) Exact solution for laminated continuous open cylindrical shells. Appl Math Mech 18:1073–1086 · Zbl 0901.73047 · doi:10.1007/BF00132801
[10] Huang N, Tauchert T (1991) Thermoelastic solution for cross-ply cylindrical panels. J Thermal Stresses 14:227–237 · doi:10.1080/01495739108927064
[11] Huang N, Tauchert T (1992) Thermal stresses in doubly-curved cross-ply laminates. Int J Solids Struct. 29:991–1000 · Zbl 0825.73428
[12] Kardomateas G (1989) Transient thermal stresses in cylindrically orthotropic composite tubes. ASME J Appl Mech 56:411–417 · Zbl 0711.73010 · doi:10.1115/1.3176098
[13] Abd-all Am, Abd-alla AN, Zeidan NA (2000) Thermal stresses in nonhomogeneous orthotropic elastic multilayered cylinder. J Thermal Stresses 23:413–428 · doi:10.1080/014957300403914
[14] Argyris J, Tenek L, Oberg F (1995) A multilayer composite triangular element for steady-state conduction/ convection/ radiation heat transfer in complex shells. Comp Meth Appl Mech Eng 120:271–301 · Zbl 0852.73055 · doi:10.1016/0045-7825(94)00775-I
[15] Eckert ERG, Drake RM (1972) Analysis of heat and mass transfer, New York: McGraw-Hill 1–49
[16] Zienckiewitz OC (1977) The finite element method, New York: McGram-Hill
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.