A multilayer composite triangular element for steady-state conduction/convection/radiation heat transfer in complex shells
type: Item
instance of: scholarly article
title: A multilayer composite triangular element for steady-state conduction/convection/radiation heat transfer in complex shells
zbMATH Open document ID: 0852.73055
DOI: 10.1016/0045-7825(94)00775-I
author: F. Öberg
author: John Argyris
author: Lazarus Teneketzis Tenek
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-12-12T00:00:00Z
review text: All nonlinear terms are strictly due to radiation; the material properties are assumed independent of temperature but this in no way restricts the generality of the basic theory. The formulation is based on a first-order thermal lamination theory which assumes a linear through-the-thickness temperature variation. The following features are uniquely implemented in the computer model: (1) exact integration of all matrices including the highly nonlinear radiation matrix; (2) exact integration of all derivative (Jacobian) matrices for efficient nonlinear analysis; (3) geometrical generality achieved by an arbitrarily oriented inexpensive flat shell element; (4) compatibility with structural elements; (5) computational efficiency and simplicity. A predictor-corrector scheme in the form of the Newton-Raphson method is adopted for the solution of the steady-state nonlinear problem. Numerical examples, ranging from simple panels to complex anisotropic shells substantiate the theoretical formulation and show the potential of the present laminated triangular element.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 881054
zbMATH Keywords: first-order thermal lamination theory
zbMATH Keywords: linear through-the-thickness temperature variation
zbMATH Keywords: flat shell element
zbMATH Keywords: predictor-corrector scheme
zbMATH Keywords: Newton-Raphson method
describes a project that uses: MACSYMA
MaRDI profile type: Publication
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full work available at URL: 0045-7825(94)00775-i
OpenAlex ID: W2119308773
description: scientific article; zbMATH DE number 881054