DISCUSSION OF PLANE STRAIN CONSOLIDATION BY FINITE ELEMENTS

PUBLICATION OF THE SUBSTANTIAL CONTRIBUTION OF CHRISTIAN AND BOEHMER LARGELY COMPLETES THE CIRCLE WITH REGARD TO THE METHODS AVAILABLE---ANALYTIC, FINITE DIFFERENCE, AND FINITE ELEMENT---FOR SOLUTION OF CONSOLIDATION PROBLEMS. DISREGARDING PREJUDICIAL INFLUENCES (E.G., THE BACKGROUND OF THE INVESTIGATOR) ON THE CHOICE OF METHOD AND THOSE CASES IN WHICH THE CHOICE RESTS LARGELY ON THE NATURE OF THE PROBLEM, THE PRINCIPAL INGREDIENTS OF SELECTION ARE THE MOTIVATION TO ACHIEVE A SOLUTION, THE MEANS OF SOLUTION AVAILABLE, AND THE ECONOMICS OF SOLUTION. THE LAST FACTOR TENDS TO BE OVERLOOKED BY ENGINEERS. IT IS NOTED THAT THE STUDY OF PHYSICAL EFFECTS ON A PARAMETRIC BASIS IS BEST ACCOMPLISHED BY AN ANALYTIC APPROACH AND THAT FOR SPATIALLY MULTIDIMENSIONAL PROBLEMS THE FINITE ELEMENT METHOD IS NOT COMPETETITIVE WITH AN ANALYTIC TECHNIQUE, BEING ABOUT 10 TIMES SLOWER COMPUTATIONALLY. ON THE OTHER HAND, MOST REAL WORLD PROBLEMS ARE NOT AMENABLE TO ANALYTIC TREATMENT, IN WHICH CASE COMPUTATIONAL ECONOMIES ARE NOT A VALID ARGUMENT. FURTHERMORE, IN THE ONE-DIMENSIONAL CASE THE FINITE ELEMENT METHOD IS ABOUT 100 TIMES FASTER. COMPARISONS BETWEEN ANALYTIC AND FINITE-DIFFERENCE METHODS ARE LESS EASY TO MAKE, ALTHOUGH THE LATTER TEND TO BE CLUMSY AT DISCONTINUITIES. IN SUM, FINITE ELEMENT TECHNIQUES APPEAR TO OFFER THE GREATEST POTENTIAL AS A VERSATILE PROBLEM-SOLVING TOOL. HOWEVER, THEY REQUIRE THAT A RIGOROUS MATHEMATICAL BASE BE ESTABLISHED FOR THE METHOD SO THAT EFFICIENT AND ACCURATE COMPUTATIONAL TECHNIQUES CAN BE DEVELOPED.

  • Supplemental Notes:
    • Vol 97, No SM3, PP 595-598
  • Authors:
    • SCHIFFMAN, R L
  • Publication Date: 1971-3

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Filing Info

  • Accession Number: 00235935
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Aug 8 1971 12:00AM