Showing papers on "Smoothed finite element method published in 1968"

Stress analysis by finite elements

Abstract: THE METHOD OF FINITE ELEMENTS IS OUTLINED FOR DETERMINATION OF STRESS AND DISPLACEMENT FIELDS. THE CHIEF FEATURES ARE ILLUSTRATED AND ADVANTAGES OF THE TECHNIQUE ARE ILLUSTRATED BY SEVERAL EXAMPLES. THE THEORY IS PRESENTED OF THE FINITE ELEMENTS METHOD. THIS METHOD IS NOT AS WIDELY APPLICABLE AS FINITE DIFFERENCES, BECAUSE ONLY THOSE PROBLEMS WHICH HAVE AN EQUIVALENT VARIATIONAL FORMULATION MAY BE ATTACKED BY FINITE ELEMENTS. ONE DISADVANTAGE IS THAT STRESSES ARE AVERAGED ACROSS ANY ONE ELEMENT. IT IS NEVER CLEAR WHAT POINT IN THE TRIANGULAR ELEMENT CORRESPONDS TO THE AVERAGE STRESS STATE. ALL PROBLEMS WERE RUN ON AN IBM 7094 DIGITAL COMPUTER. IT IS ANTICIPATED THAT THE METHOD OF FINITE ELEMENTS WILL BECOME A STANDARD TOOL FOR ELASTIC ANALYSIS WITHIN THE NEXT FEW YEARS.