Elasto-plastic Loading-unloading Nonlinear Analysis of Frames by Local Parameter Control

국부변수 조절을 통한 프레임의 탄소성 하중-제하 비선헝 해석

  • 박문식 (한남대학교 기계공학과)
  • Published : 2001.12.01

Abstract

Even todays, accurate and efficient algorithms for the large deformation analysis of elastoplastic frame structures lack due to the complexities of kinematics, material nonlinearities and numerical methods to cater for. The author suggests appropriate beam element based upon the incremental formulation from the 3D rod theory where Cauchy stress and engineering strain are variables to incorporate plasticity equations so that objectivity may be satisfied. A rectum mapping methods which can integrate and satisfy yield criteria efficiently is suggested and a continuation method which has global convergency and quadratic speed is developed as well. leading-unloading example problems are tested and the ideas are proved to be valuable.

References

  1. Int. j. numer. methods. eng. v.14 Large displacement analysis of three dimensional beam structures K.J.Bathe;S.Bolourchi
  2. Int. j. numer. methods. eng. v.26 On a nonlinear formulation for curved Timoshenko beam elements considering large displacement/rotation increments E.N.Dvorkin;E.Onate;J.Oliver
  3. Comp. Methods. Appl. Mech. Eng. v.58 A three dimensional finite-strain rod medel. Part Ⅱ: Computational aspects J.C.Simo;L.Vu-Quoc
  4. Int. j. numer. methods. eng. v.26 A beam finite element nonlinear theory with finite rotations A.Cardona;M.Geradin
  5. Int. j. numer. methods. eng. v.28 Symmetry-preserving return mapping algorithms and incrementally extremal paths : A nuification of concepts M.Ortiz;J.B.Martin
  6. Int. j. numer. methods. eng. v.31 Non-linear Bstability and symmetry preserving return mapping algorithms for plasticity and viscoplasticity J.C.Simo;S.Govindjee
  7. ACM Trans. Math. Softw. v.9 A locally parameterized continuation process W.C.Rheinboldt;J.V.Burkardt
  8. Comput. mech. v.2 Large-deformation, elastoplastic analysis of frames under non conservative loading, using ecplicitly derived tangent stiffness based on assumed stress K.Kondoh;S.N.Atluri