Journal of the Korean Geotechnical Society (한국지반공학회논문집)

Korean Geotechnical Society (한국지반공학회)
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Large Deformation Formulation of a Hypoelasto-plastic Constitutive Model for Soils

흙의 속도형식 탄소성구성모델에 대한 대변형도 정식화

  • Published : 2003.08.01
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Abstract

A constitutive equation was implemented in order to model the behavior in overall ranges from small to large strains, which is based on anisotropic hardening rule and total stress concept. The constitutive model was implemented in ABAQUS code in which large deformation analysis can be performed accurately and efficiently. The formulation includes (1) finite strain plasticity on the basis of Jaumann stress rate, (2) implicit stress integration and (3) consistent tangent moduli. A large deformation analysis was performed with the constitutive model using ABAQUS program. In the analysis of an actual embankment, it was found that the proposed model was formulated accurately and efficiently.

미소변형에서 대변형에 이르는 전변형도 영역의 거동을 모델하기 위하여 비등방 경화규칙과 전응력개념에 의거한 구성관계를 이용하였다. 이러한 구성관계는 ABAQUS 코드에 구현되었으며 대변형해석시 정확도와 수렴속도를 확보하도록 하였다. 이 정식화는 Jaumann 응력속도에 의거한 유한 변형도 소성론, 내재적 응력적분, 일관된 접선계수를 포함한다. ABAQUS를 이용한 대변형해석을 통하여 알고리즘의 정확도 및 수렴도 해석을 할 수 있었다.

Keywords

References

  1. Geotechnical Engineering v.22 Predicted and observed performance of an embankment built to failure on soft clay Brand,E.W.
  2. J. Geotechnical Engineering Div., ASCE no.120 Multiaxial Cyclic Plasticity Model for Clays Borja,R.I.;Amies,A.P.
  3. Non-linear Finite Element Analysis of Solids and Structures Vol. 1:Essentials Crisfield,M.A.
  4. IUTAM Symposium,Senlis, France, 1980 The Concept and Application of Bounding Surface in Plastucity Theory;Physical Non-Linearities in structural analysis Dafalias,Y.F.;J.hult(ed.)J.Lemaitre(ed.)
  5. MEng Thesis, AIT Evaluation if geotechnical parameters for settlement and stability analysis of a highway embankment on soft Muar clay Dangole,B.M.S.
  6. Computers & structures v.26 Numerical techniques for plasticity computations in finite element analysis Dodds,R.H.
  7. ABAQUS/Standard Users Manual(version 6.2) HK & S, Hibbitt, Karlsson & Sorensen, Inc
  8. Theoretical Foundation for Large-Scale Computation of Nonlinear Material Behavior Numerical Implementation of Constitutive Models: Rate-Independent Deviatoric Plasticity Hughes,T.J.R.;Nemat-Nasser,S.(ed.);Asaro,R.J.(ed.);Hegemier,G.A.(ed.)
  9. Int. J. for Numerical Method in Engineering v.15 Finite Rotation Effects in Numerical Implementation of Rate Constitutive Equations Arising in Large Deformation Analysis Hughes,T.J.R.;Winget,J.
  10. J. of Korean Geotechnical Society v.18 Large deformation analysis using an anistropic hardening constiutive model: II. Analysis Jeon,B.G.;Han,S.S.;Oh,S.
  11. Int. J. Numerical and Analytical Methods in Geomechanics v.19 An anisotropic hardening constitutive model based on generalized isotropic hardening rule for modeling clay behavior Lee,S.R.;Oh,S.
  12. International Journal of Plasticity v.5 An Implicit Time-Integration Procedure for a Set of Internal Variable Constitutive Equations for Isotropic Elasto-Viscoplasticity Lush,A.M.;Weber,G.;Anand,L.
  13. Ph.D Thesis, Department of Mechanical Engineering, MIT Computational Procedures for Finite Element Analysis of Hot-Working Lush,A.M.
  14. Proceedings of the International Symposium on Trial Embankments on Malaysian Marine clays v.1 MHA, Malaysian Highway Authority
  15. Geotechnique v.31 An anisotropic critical state model for soils subject to cyclic loading Mroz,Z.;Norris,V.A.;Zienkiewicz,O.C.
  16. Computer Methods in Applied Mechanics and Engineering v.191 Formulation of implicit stress integration and consistent tangent modulus for an anisotropic hardening constitutive model Oh,S.;Lee,S.R.
  17. Int. J. Numerical and Analytical Methods in Geomechanics An elasto-plastic constitutive model based on anisotropic hardening rule for the soil behavior in overall strain ranges Oh,S.
  18. Internat. J. Numer. Methods Engrg. v.21 Accuracy and stability of integration algorithms for elastoplastic constitutive equations Ortiz,M.;Popov,E.P.
  19. Computational Inelasticity Simo,J.C.;Hughes,T.J.R.
  20. Computer Methods in Applied Mechanics and Engineering v.48 Consistent tangent operators for rate-independent elastoplasticity Simo,J.C.;Taylor,R.L.