DISCUSSION OF NONLINEAR ANALYSIS OF STRESS AND STRAIN IN SOILS

MAJTENYI. THE AUTHORS HAVE PRESENTED AN EXCELLENT APPLICATION OF THE STRESS-STRAIN RELATIONSHIP OBTAINED FROM TRIAXIAL TESTS FOR A FINITE ELEMENT COMPUTER ANALYSIS. WITHOUT COMMENTING FURTHER ON THE GENERAL ASPECTS OF THIS NEW METHOD IN SOILS ENGINEERING, THE WRITER WOULD LIKE TO LIMIT HIMSELF TO THE TOPIC OF THE INITIAL MODULUS OF ELASTICITY. EQ. 5 AND THE INTERPRETATION OF THE MINOR PRINCIPAL STRESS IN TRIAXIAL TESTS SUGGEST THAT THE INITIAL MODULUS OF ELASTICITY TENDS TO BECOME ZERO AS THE CONFINING PRESSURE DECREASES TO ZERO. IN OTHER WORDS, AN UNCONFINED MATERIAL DOES NOT OFFER RESISTANCE TO DEFORMATION IN COMPRESSION, THIS CONDITION IS ONLY TRUE FOR LOOSE COHESIONLESS MATERIALS. COMPACTED AND COHESIVE SOILS DO NOT BEHAVE IN THIS MANNER, AS IS SHOWN IN A SERIES OF EQUATIONS. DESAI AND HOLLOWAY. THE AUTHORS SHOULD BE COMPLIMENTED FOR PRESENTING A GENERAL AND USEFUL FORMULATION FOR FUNCTIONAL REPRESENTATION OF NONLINEAR STRESS-STRAIN CURVES IN FINITE ELEMENT ANALYSES. THE MAIN PURPOSE OF THIS DISCUSSION IS TO SUGGEST THE POSSIBILITY OF AN ALTERNATIVE FUNCTIONAL REPRESENTATION OF NONLINEAR STRESS-STRAIN CURVES. THIS ALTERNATIVE IS BASED ON INTERPOLATION BY USING THE SPLINE FUNCTIONS. THE SPLINE FUNCTION CONSISTS OF A NUMBER OF POLYNOMIALS JOINED TOGETHER SUCH THAT THE INTERSECTIONS OF SUCCESSIVE POLYNOMIALS ARE AS SMOOTH AS THEY CAN BE MADE WITHOUT RESORTING TO A SINGLE POLYNOMIAL OVER THE COMPLETE RANGE. MOREOVER, THE SPLINE FUNCION PROVIDES CLOSER AND SMOOTHER VARIATIONS TO THE FUNCTION ITSELF AND ALSO TO ITS LOWER ORDER DERIVATIVES THAN A POLYNOMIAL. THE FITTING OF A SPLINE FUNCTION PROVIDES AN ANALYTICAL CURVE SIMILAR TO ONE OBTAINED BY USING A MECHANICAL SPLINE OR A FRENCH CURVE. /AUTHOR/

  • Supplemental Notes:
    • Vol 97, No SM 5, PROC PAPER 8083, PP 815-820, 5 FIG, 2 TAB
  • Authors:
    • Majtenyi, S I
    • Desai, C S
    • Holloway, D M
  • Publication Date: 1971-5

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Filing Info

  • Accession Number: 00236036
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Aug 1 1971 12:00AM