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Improved stress evaluation under thermal load for simple finite elements
Author(s) -
Pittr J.,
Hartl H.
Publication year - 1980
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.1620151007
Subject(s) - quadrilateral , finite element method , stiffness matrix , interpolation (computer graphics) , simple (philosophy) , subroutine , shell (structure) , structural engineering , stress (linguistics) , constant (computer programming) , matrix (chemical analysis) , mathematics , stiffness , mathematical analysis , materials science , computer science , engineering , mechanical engineering , composite material , philosophy , linguistics , epistemology , frame (networking) , programming language , operating system
The method of initial strain is replaced by a method of initial displacements and applied to simple four‐noded membrane and shell elements. The thermal stresses in nodes are improved for quadrilaterals and hexahedrons, which have a discrepancy between interpolation functions for temperature (linear) and strains (constant). To get initial displacements, the singular element stiffness matrix has to be inverted. Minor changes in subroutine MINV 3 (enclosed version STDMNV) were made to do this.