Premium
A highly efficient enhanced assumed strain physically stabilized hexahedral element
Author(s) -
Puso Michael Anthony
Publication year - 2000
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 - 10.1002/1097-0207(20001120)49:8<1029::aid-nme990>3.0.co;2-3
Subject(s) - hourglass , hexahedron , element (criminal law) , finite element method , degrees of freedom (physics and chemistry) , point (geometry) , benchmark (surveying) , computer science , geometry , structural engineering , algorithm , mathematics , mathematical analysis , engineering , physics , geology , geodesy , quantum mechanics , astronomy , political science , law
Abstract A method which combines the incompatible modes method with the physical stabilization method is developed to provide a highly efficient formulation for the single point eight‐node hexahedral element. The resulting element is compared to well‐known enhanced elements in standard benchmark type problems. It is seen that this single‐point element is nearly as coarse mesh accurate as the fully integrated EAS elements. A key feature is the novel enhanced strain fields which do not require any matrix inversions to solve for the internal element degrees of freedom. This, combined with the reduction of hourglass stresses to four hourglass forces, produces an element that is only 6.5 per cent slower than the perturbation stabilized single‐point brick element commonly used in many explicit finite element codes. Copyright © 2000 John Wiley & Sons, Ltd.