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A method of computing numerically integrated stiffness matrices
Author(s) -
Gupta Ajaya K.,
Mohraz Bijan
Publication year - 1972
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.1620050108
Subject(s) - stiffness matrix , isotropy , computation , stiffness , tensor (intrinsic definition) , direct stiffness method , reduction (mathematics) , matrix (chemical analysis) , property (philosophy) , anisotropy , finite element method , numerical integration , notation , mathematics , mathematical analysis , computational science , computer science , algorithm , structural engineering , geometry , materials science , engineering , physics , composite material , philosophy , quantum mechanics , epistemology , arithmetic
A method of formulating and computing numerically integrated stiffness matrices is presented. Through a better organization of the formulation which is easily achieved by the use of index notation, the computations for integrating and evaluating the element stiffness matrix are substantially reduced. For cases in which the terms of the material property tensor are not functions of position co‐ordinates (elastic isotropic and anisotropic materials), a further reduction in computation is achieved by multiplying the material property‐tensor after the numerical integration has been carried out.