A DISCUSSION OF THEORIES OF PLASTICITY AND LIMIT ANALYSIS IN RELATION TO THE FAILURE OF SOIL MASSES

A GENERAL CLASS OF IDEAL COHESIVE FRICTIONAL MATERIALS IS POSTULATED FOR WHICH THE RELATION BETWEEN THE STRAIN RATES DURING PLASTIC FAILURE (THE DILATANCY BEHAVIOR) IS DEFINED BY AN ANGLE (PSI) IN A SIMILAR WAY TO THE DEFINITION OF THE RELATION BETWEEN STRESSES DURING PLASTIC FAILURE BY THE COULOMB ANGLE (PHI). IT IS SHOWN THAT WHEN PSI = 0 THE MATERIAL DEFORMS AT CONSTANT VOLUME AND WHEN PSI = PHI THE MATERIAL IS THE "ASSOCIATED FLOW RULE" MATERIAL OF MUCH OF THE PUBLISHED LITERATURE IN THE THEORY OF PLASTICITY APPLIED TO SOILS. WHEN PSI = PHI IT IS PROVED THAT THE ORDINARY LIMIT THEOREMS DO NOT HOLD. THE RELEVANCE OF THESE FINDINGS TO THE STABILITY OF REAL SOIL IS DISCUSSED AND, ASSUMING ROWE'S STRESS DILATANCY RELATION, IT IS SHOWN THAT FOR REAL GRANULAR SOIL PSI MUST ALWAYS BE LESS THAN PHI. /A/RRL/

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Filing Info

  • Accession Number: 00234859
  • Record Type: Publication
  • Source Agency: Road Research Laboratory /UK
  • Files: TRIS
  • Created Date: Feb 12 1971 12:00AM