A Study on the Damage Propagation of an Aircraft Material During Forming

항공기 재료 성형시의 손상진전에 관한 연구

  • 김위대 (부산대학교 항공우주공학과, 기계기술연구소) ;
  • 김진희 (서울대학교 항공우주공학과) ;
  • 김승조 (서울대학교 항공우주공학과)
  • Published : 1995.06.01

Abstract

In this paper damage propagation of a material during forming is investigated with the concept of continuum damage mechanics. An isotropic damage model based on the theory of materials of type N is adopted to describe the damage process of a ductile material with large elasto-viscoplastic deformation. The stiffness degradation of the loaded material is chosen as a damage measure. The highly nonlinear equilibrium equations are reduced to the incremental weak form and approximated by the total Lagrangian finite element method. To simulate contact condition, extended interior penalty method with modified coulomb friction law is adopted. The displacement control method along with the modified Riks' continuation technique is used to solve the incremental iterative equations. As numerical examples, upsetting problem and backward extrusion problem are simulated and the results of damage propagation and $J_2$ stress contours with and without friction are presented.

Keywords

References

  1. Int. J. Mech. Sci. v.2 Ductile Fracture by Hole Growth in Shear Band McClintock,F.A.;Kaplan,S.M.;Berg,C.A.
  2. J. Mech. Work. Tech. v.4 Criteria for Ductile Fracture and Their Application Oyane,M.;Sato,T.;Okimoto,K.;Shima,S.
  3. J. Inst. Metals. v.96 Ductility and the Workability of Metals Cockcoft,M.G.;Latham,D.J.
  4. J. Eng. Ind. v.101 Ductile Fracture in Axisymmetric Extrusion and Drawing, Part 2, Workability in Extrusion and Drawing Oh,S.I.;Chen,C.C.;Kobayashi,S.
  5. Int. J. Mech. Sci. v.32 Fracture Prediction in Plastic Deformation Process Clift,S.E.;Hartley,P.;Sturgess,C.E.N.;Rowe,G.W.
  6. Int. J. Mech. Tools Manufact. v.33 no.1 An Investigation of Ductile Fracturing in Mild Steel During Upsetting Lin,Z.C.;Lin,S.Y.
  7. Computer Methods in applied Mechanics and Engineering v.92 Continuum Damage Mechanics Local Approach to Fracture:Numerical Procedures Benallal,A.;Billardon,R.;Lemaitre,J.
  8. Izv. Akad. Nauk. SSR. v.8 On the Creep Fracture Time Kachanov,M.L.
  9. Applied Mechanics Reviews v.37 no.1 Continuous Damage Mechanics Krajcinovic,D.
  10. ASME. Journal of Applied Mechanics Continuous Damage Mechanics Revisited:Basic Concepts and Definitions Krajcinovic,D.
  11. ASME. Journal of Applied Mechanics v.55 Continuum Damage Mechanics:General Concepts Chaboche,J.L.
  12. Engineering Fracture Mechanics v.36 Finite Element Method for Large Displacement and Large Strain Elasto-Plastic Analysis of Shell Structures and Some Application of Damage Mechanics Bontcheva,N.;Jaijum,Y.
  13. ASME. Journal of Applied Mechanics v.60 A Computational Model for Fe Ductile Plastic Damage Analysis of Plate Bending Shi,G.Y.;Voyiadjis,G.Z.
  14. Accepted for Publication Engineering Fracture Mechanics A Finite Element Analysis of Damage Propagation During Metal Forming Process Kim,J.H.;Kim,S.J.;Kim,W.D.
  15. Int. J. Eng. Sci. v.22 no.11;22 Generalized Potentials in Finite Elasto Plasticity Kim,S.J.;Oden,J.T.
  16. Int. J. Eng. Sci. v.23 no.5 Generalized Potentials in Finite Elastoplasticity, Example Kim,S.J.;Oden,J.T.
  17. Computer Methods in Applied Mechanics and Engineering v.53 Finite Element Analysis of a Class of Problems in Finite Elastoplasticity Based on the Themodynamical Theory of Materials of Type-N Kim,S.J.;Oden,J.T.
  18. ASME. Journal of Applied Mechanics v.61 A Progressive Damage Modeling Based on the Continuum Damage Mechanics and its Finite Element Analysis Kim,S.J.;Kim,W.D.
  19. International Journal for Numerical Methods in Engineering v.36 Finite Element Analysis of Laminated Composites with Contact Constraint by Extended Interior Penalty Method Kim,S.J.;Kim,J.H.
  20. Metal Forming and the Finite Element Method Kobayashi,S.;Oh,S.I.;Altan,T.
  21. Computer & Structures v.13 A Fast Incremental Solution Procedure that Handles Snap-Through Crisfield,M.A.
  22. An Introduction to Continuum Mechanics Gurtin,M.E.
  23. A First Course in Rational Continuum Mechanics v.1 Truesdell,C.
  24. J. Chem. Phys. v.47 Thermodynamics with Internal Variables Coleman,B.D.;Gurtin,M.E.
  25. ASME. Journal of Applied Mechanics v.42 no.2 Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials Bodner,S.R.;Partom,Y.
  26. Computer Methods in Applied Mechanics and Engineering v.37 Remarks on 4CST Elements for Incompressible Materials Kikuchi,N.
  27. Numerical Modeling of Material Deformation Process Hartley,P.;Pillinger,L.;Strurgess,C.