The Role of the Plastic Flow Rules in the Elasto-Plastic Formulation of Joint behaviour

절리거동의 탄소성해석에서 소성유동법칙의 역할

  • 이연규 (군산대학교 해양과학대학 해양시스템공학과)
  • Published : 2000.06.01


The influence of the plastic flow rules on the elasto-plastic behaviour of a discrete joint element was investigated by performing the numerical direct shear tests under both constant normal displacement and normal displacement conditions. The finite interface elements obeying Plesha’s joint constitutive law was used to allow the relative motion of the rock blocks on the joint surface. Realistic results were obtained in the tests adopting the non-associated flow rule, while the associated flow rule overestimated the joint dilation. To overcome the computational drawbacks coming from the non-symmetric element stiffness matrix in the conventional non-associated plasticity, the symmetric formulation of the tangential stiffness matrix for a non-associated joint element was proposed. The symmetric elasto-plastic matrix it derived by assuming an imaginary equivalent joint with associated flow rule which shows the same plastic response as that of original Joint with non-associated flow rule. The validity of the formulation was confirmed through the numerical direct shear tests under constant normal stress condition.


  1. Geotechnique v.25 Associated and non-associated visco-plasticity and plasticity in soil mechanics Zienkiewicz, O.C.;C.Humpheson;R.W.Lewis
  2. Concepts and applications on finite element analysis Cook, R.D.;D.S.Malkus;M.E.Plesha
  3. 터널과 지하공간 v.7 절리면 거?각이 손상을 고려한 개별체 절리 유한요소 이연규;이정인
  4. J.Soil Mech. and Found. Div. ASCE v.99 Finite element for rock joints and interfaces Ghaboussi, J.;E.L.Wilson;J.Isenberg
  5. Int. J. for Numer, and Anal. Meth. in Geomech. v.11 Constitutive models for rock discontinuities with dilatancy and surface degradation Plesha, M.E.
  6. Computers and Geotechnics v.2 Symmetric tangential stiffness formulation for non-associated plasticity Pande, G.N.;S.Pietruszczak
  7. Finite element in plasticity: theory and practice. Owen, D.R.J.;E.Hinton
  8. 터널과 지하공간 v.8 거친 절리면의 전단거동 해석을 위한 탄소성 구성법칙 이연규;이정인
  9. Int. J. for Numer. and Anal. Meth. in Geomech. v.5 Non-linear analysis of a joint element and its application in rock engineering Xiurun, Ge.