TIAN Yan-ping, FU Yi-ming. Elasto-Plastic Postbuckling Analysis of Orthotropic Plates Including Damage Effects[J]. Applied Mathematics and Mechanics, 2008, 29(7): 764-774.
Citation: TIAN Yan-ping, FU Yi-ming. Elasto-Plastic Postbuckling Analysis of Orthotropic Plates Including Damage Effects[J]. Applied Mathematics and Mechanics, 2008, 29(7): 764-774.

Elasto-Plastic Postbuckling Analysis of Orthotropic Plates Including Damage Effects

  • Received Date: 2007-09-05
  • Rev Recd Date: 2008-06-17
  • Publish Date: 2008-07-15
  • Based on the elasto-plastic mechanics and continuum damage theory,a yield criterion which is related to the spherical tensor of stress was proposed to describe the mixed hardening of damaged orthotropic materials,and the dimensionless form of which is isomorphic with the Mises criterion for isotropic materials.Furthermore,the incremental elasto-plastic damage constitutive equations and damage evolution equations were established.Based on the classical nonlinear plate theory, the incremental nonlinear equilibrium equations of orthotropic thin plates including damage effect were obtained,and the equations were solved by the finite difference method and iteration method.In the numerical examples,the effects of damage evolution and initial deflection on the elasto-plastic postbuckling of orthotropic plates are discussed in detail.
  • loading
  • [1]
    袁祖培, 郑耀. 对于正交异性材料屈服与流动的探讨[J]. 应用数学和力学, 1990, 11(3): 233-238.
    [2]
    Shi G Y, Voyiadjis G Z. A new free energy for plastic damage analysis[J].Mechanics Research Communications,1997,24(4):377-383. doi: 10.1016/S0093-6413(97)00039-6
    [3]
    Lemaitre J. A continuous damage mechanics model for ductile fracture[J]. J Eng Mater Tech,1985,107(1):83-89. doi: 10.1115/1.3225775
    [4]
    Hayakawa K, Murakami S, Liu Y. An irreversible thermodynamics theory for elastic-plastic-damage materials[J].Eur J Mech A/Solids,1998,17(1):13-32. doi: 10.1016/S0997-7538(98)80061-2
    [5]
    Voyiadjis G Z, Deliktas B. A coupled anisotropic damage model for the inelastic response of composite materials[J].Comlput Methods Appl Mech Engrg,2000,183(3/4):159-199. doi: 10.1016/S0045-7825(99)00218-2
    [6]
    Hutchinson J W. Post-bifurcation behavior in the plastic range[J]. J Mech Phys Solids, 1973,21(3):163-190. doi: 10.1016/0022-5096(73)90017-3
    [7]
    Hutchinson J W. Plastic buckling[J].Advances in Appl Mech,1974,14:67-141. doi: 10.1016/S0065-2156(08)70031-0
    [8]
    Needleman A, Tvergaard V. An analysis of the imperfection sensitivity of square elastic-plastic plates under axial compression[J].Internat J Solids and Structure,1976,12(3):185-201. doi: 10.1016/0020-7683(76)90062-7
    [9]
    Nguyen Q S. Bifurcation and post-bifurcation analysis in plasticity and brittle fracture[J].J Mech Phys Solis,1987,35(3):303-324. doi: 10.1016/0022-5096(87)90010-X
    [10]
    Nguyen Q S, Triantafyllidis N. Plastic bifurcation and post-bifurcation analysis for generalized standard continua[J].J Mech Phys Solids,1989,37(5):545-566. doi: 10.1016/0022-5096(89)90028-8
    [11]
    Cimetière A, Léger A. Some problems about elastic-plastic post-buckling[J].Internat J Solids and Structures,1996,30(10):1519-1533.
    [12]
    Pi Y L, Bradford M A. Elasto-plastic buckling and postbuckling of arches subjected to a central load[J].Computers and Structures,2003,81(18/19):1811-1825. doi: 10.1016/S0045-7949(03)00204-9
    [13]
    Lemaitre J.A Course on Damage Mechanics[M].Berlin: Springer-Veriag, 1992.
    [14]
    Chow C L, Wang J. An anisotropic theory of elasticity for continuum damage mechanics[J].Engrg Fracture Mesh,1987,33(1):3-16.
    [15]
    Sidoroff F. Description of anisotropic damage application to elasticity[A].In:Proceedings of IUTAM Colloquium.Physical Nonlinearities in Structural Analysis[C].Berlin:Springer,1981,237-240.
    [16]
    Chia C Y.Nonlinear Analysis of Plates[M].New York: McGraw-Hill International Book Company, 1980.
    [17]
    Wang C M, Xiang Y, Chakrabarty J. Elastic/Plastic buckling of thick plates[J].Internat J Solids and Structures,2001,38(48/49):8617-8640. doi: 10.1016/S0020-7683(01)00144-5
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (3061) PDF downloads(615) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return