Review: A 4-node quasi-conforming Reissner-Mindlin shell element by using Timoshenko's beam function
暂无分享,去创建一个
Ping Hu | Yang Xia | Changsheng Wang | P. Hu | Yang Xia | Changsheng Wang
[1] R. L. Harder,et al. A proposed standard set of problems to test finite element accuracy , 1985 .
[2] Eduardo N. Dvorkin,et al. A formulation of general shell elements—the use of mixed interpolation of tensorial components† , 1986 .
[3] George Z. Voyiadjis,et al. A 4‐node assumed strain quasi‐conforming shell element with 6 degrees of freedom , 2003 .
[4] Chen Wanji,et al. Refined discrete quadrilateral degenerated shell element by using Timoshenko's beam function , 2005 .
[5] L. Tang,et al. Quasi-conforming element techniques for penalty finite element methods , 1985 .
[6] T. Hughes,et al. Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element , 1981 .
[7] Richard H. Macneal,et al. A simple quadrilateral shell element , 1978 .
[8] George Z. Voyiadjis,et al. Simple and efficient shear flexible two-node arch/beam and four-node cylindrical shell/plate finite elements , 1991 .
[9] George Z. Voyiadjis,et al. Geometrically nonlinear analysis of plates by assumed strain element with explicit tangent stiffness matrix , 1991 .
[10] George Z. Voyiadjis,et al. EFFICIENT AND ACCURATE FOUR-NODE QUADRILATERAL Co PLATE BENDING ELEMENT BASED ON ASSUMED STRAIN FIELDS , 1991 .
[11] Yupu Guan,et al. A geometrically non-linear quasi-conforming nine-node quadrilateral degenerated solid shell element , 1995 .
[12] Robert D. Cook,et al. Four-node ‘flat’ shell element: Drilling degrees of freedom, membrane-bending coupling, warped geometry, and behavior , 1994 .
[13] K. Bathe,et al. A continuum mechanics based four‐node shell element for general non‐linear analysis , 1984 .
[14] Worsak Kanok-Nukulchai,et al. A simple and efficient finite element for general shell analysis , 1979 .
[15] J. C. Simo,et al. On a stress resultant geometrically exact shell model. Part III: computational aspects of the nonlinear theory , 1990 .
[16] Ki-Du Kim,et al. Nonlinear Formulations of a Four-Node Quasi-Conforming Shell Element , 2009 .
[17] Ki-Du Kim,et al. A co-rotational quasi-conforming 4-node resultant shell element for large deformation elasto-plastic analysis , 2006 .
[18] K. Bathe,et al. A four‐node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation , 1985 .
[19] Theodore H. H. Pian,et al. Improvement of Plate and Shell Finite Elements by Mixed Formulations , 1977 .
[20] O. C. Zienkiewicz,et al. Reduced integration technique in general analysis of plates and shells , 1971 .
[21] Richard H. Macneal,et al. Derivation of element stiffness matrices by assumed strain distributions , 1982 .
[22] George Z. Voyiadjis,et al. General non-linear finite element analysis of thick plates and shells , 2006 .
[23] C. Wang. Timoshenko Beam-Bending Solutions in Terms of Euler-Bernoulli Solutions , 1995 .
[24] J. C. Simo,et al. A CLASS OF MIXED ASSUMED STRAIN METHODS AND THE METHOD OF INCOMPATIBLE MODES , 1990 .
[25] He Dong-sheng,et al. The displacement function of quasi-conforming element and its node error , 2002 .
[26] J. C. Simo,et al. On a stress resultant geometrically exact shell model. Part II: the linear theory; computational aspects , 1989 .
[28] Chen Wanji,et al. Refined quadrilateral element based on Mindlin/Reissner plate theory , 2000 .
[29] Jean-Louis Batoz,et al. Evaluation of a new quadrilateral thin plate bending element , 1982 .
[30] Ahmed K. Noor,et al. Mixed models and reduced/selective integration displacement models for nonlinear shell analysis , 1982 .
[31] George Z. Voyiadjis,et al. A Simple C0 quadrilateral thick/thin shell element based on the refined shell theory and the assumed strain fields , 1991 .
[32] Medhat A. Haroun,et al. Reduced and selective integration techniques in the finite element analysis of plates , 1978 .
[33] D. Malkus,et al. Mixed finite element methods—reduced and selective integration techniques: a unification of concepts , 1990 .
[34] Yupu Guan,et al. A quasi-conforming nine-node degenerated shell finite element , 1992 .
[35] E. Hinton,et al. A study of quadrilateral plate bending elements with ‘reduced’ integration , 1978 .
[36] G. Voyiadjis,et al. A simple non‐layered finite element for the elasto‐plastic analysis of shear flexible plates , 1992 .
[37] T. Belytschko,et al. Physical stabilization of the 4-node shell element with one point quadrature , 1994 .
[38] P. Hu,et al. A Four-Node Reissner-Mindlin Shell with Assumed Displacement Quasi-Conforming Method , 2011 .
[39] Abdur Razzaque,et al. Program for triangular bending elements with derivative smoothing , 1973 .
[40] Rakesh K. Kapania,et al. A survey of recent shell finite elements , 2000 .