Premium
Thermal deformation vector for a bilinear temperature distribution in an anisotropic quadrilateral membrane element
Author(s) -
Wallerstein D. V.
Publication year - 1975
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620090205
Subject(s) - quadrilateral , bilinear interpolation , finite element method , deformation (meteorology) , materials science , anisotropy , thermal , mechanics , element (criminal law) , geometry , structural engineering , physics , mathematics , composite material , engineering , thermodynamics , optics , statistics , political science , law
This paper presents a thermal‐structural deformation vector for an anisotropic quadrilateral membrane element. The elastic properties of the element are based on linear stress assumptions and were developed by Robinson 1 . A general bilinear temperature field within the element is chosen in order to obtain a thermal deformation capability for the element commensurate with its elastic capability. A pseudo shear term is developed to account for part of the thermal deformation. The element is suitable for finite element analysis of advanced aircraft structures under elevated temperature environments and is particularly well suited for analysis of regions with severe temperature gradients such as occur in the vicinity of local heat sources and sinks. An example problem is included to demonstrate the behaviour of the element.