On the equivalence of mode decomposition and mixed finite elements based on the Hellinger—Reissner principle: part I: theory

[1]  T. Belytschko,et al.  A Kirchhoff-mode method for C0 bilinear and serendipity plate elements , 1985 .

[2]  T. Belytschko,et al.  A C0 triangular plate element with one‐point quadrature , 1984 .

[3]  Ted Belytschko,et al.  A simple triangular curved shell element , 1984 .

[4]  T. Belytschko,et al.  Shear and membrane locking in curved C0 elements , 1983 .

[5]  Gangan Prathap,et al.  An optimally integrated four‐node quadrilateral plate bending element , 1983 .

[6]  M. Crisfield.  A four-noded thin-plate bending element using shear constraints—a modified version of lyons' element , 1983 .

[7]  Robert D. Cook,et al.  Control of spurious modes in the nine‐node quadrilateral element , 1982 .

[8]  Richard H. Macneal,et al.  Derivation of element stiffness matrices by assumed strain distributions , 1982 .

[9]  T. Belytschko,et al.  Membrane Locking and Reduced Integration for Curved Elements , 1982 .

[10]  D. Talaslidis,et al.  A Simple and Efficient Approximation of Shells via Finite Quadrilateral Elements , 1982 .

[11]  Gangan Prathap,et al.  Reduced integration and the shear-flexible beam element , 1982 .

[12]  Ted Belytschko,et al.  A stabilization matrix for the bilinear mindlin plate element , 1981 .

[13]  T. Hughes,et al.  Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element , 1981 .

[14]  T. Belytschko,et al.  A uniform strain hexahedron and quadrilateral with orthogonal hourglass control , 1981 .

[15]  Ahmed K. Noor,et al.  Mixed models and reduced/selective integration displacement models for nonlinear analysis of curved beams , 1981 .

[16]  A. Pifko,et al.  Aspects of a simple triangular plate bending finite element , 1980 .

[17]  Klaus-Jürgen Bathe,et al.  A study of three‐node triangular plate bending elements , 1980 .

[18]  T. Hughes.  Generalization of selective integration procedures to anisotropic and nonlinear media , 1980 .

[19]  H. Parisch,et al.  A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration , 1979 .

[20]  Martin Cohen,et al.  The “heterosis” finite element for plate bending , 1978 .

[21]  Richard H. Macneal,et al.  A simple quadrilateral shell element , 1978 .

[22]  Ahmed K. Noor,et al.  Nonlinear finite element analysis of curved beams , 1977 .

[23]  Theodore H. H. Pian,et al.  Improvement of Plate and Shell Finite Elements by Mixed Formulations , 1977 .

[24]  T. Hughes.  Equivalence of Finite Elements for Nearly Incompressible Elasticity , 1977 .

[25]  E. Hinton,et al.  Reduced integration, function smoothing and non-conformity in finite element analysis (with special reference to thick plates) , 1976 .

[26]  Kikuchi Fumio.  On the validity of an approximation available in the finite element shell analysis , 1975 .

[27]  I. Fried.  Finite-Element Analysis of Thin Elastic Shells With Residual Energy Balancing and the Role of the Rigid Body Modes , 1975 .

[28]  I. Fried.  Finite element analysis of incompressible material by residual energy balancing , 1974 .

[29]  Isaac Fried,et al.  Triangular, nine-degrees-of-freedom, $C^0$ plate bending element of quadratic accuracy , 1973 .

[30]  Isaac Fried,et al.  Shear in C0 and C1 ending finite elements , 1973 .

[31]  I. Fried,et al.  Shape functions and the accuracy of arch finite elements. , 1973 .

[32]  Stuart F. Pawsey,et al.  Discussion of papers By O. C. Zienkiewicz, R. L. Taylor and J. M. Too and S. F. Pawsey and R. W. Clough , 1972 .

[33]  A. B. Sabir,et al.  A curved cylindrical shell finite element , 1972 .

[34]  Isaac Fried,et al.  Basic computational problems in the finite element analysis of shells , 1971 .

[35]  Ray W. Clough,et al.  Improved numerical integration of thick shell finite elements , 1971 .

[36]  O. C. Zienkiewicz,et al.  Reduced integration technique in general analysis of plates and shells , 1971 .

[37]  O. C. Zienkiewicz,et al.  Analysis of thick and thin shell structures by curved finite elements , 1970 .

[38]  D. G. Ashwell,et al.  A stiffness matrix for shallow shell finite elements , 1969 .

[39]  Senol Utku,et al.  Stiffness matrices for thin triangular elements of nonzero Gaussian curvature. , 1966 .

[40]  Ted Belytschko,et al.  Locking and shear scaling factors in C° bending elements , 1986 .

[41]  K. Bathe,et al.  A continuum mechanics based four‐node shell element for general non‐linear analysis , 1984 .

[42]  T. Belytschko,et al.  Bending and Shear Mode Decomposition in C° Structural Elements , 1983 .

[43]  E. Hinton,et al.  Spurious modes in two‐dimensional isoparametric elements , 1979 .

[44]  Thomas J. R. Hughes,et al.  A simple and efficient finite element for plate bending , 1977 .

[45]  D. Malkus.  A finite element displacement model valid for any value of the compressibility , 1976 .

[46]  F. Kikuchi.  Theory and examples of partial approximation in the finite element method , 1976 .

[47]  J. Oden,et al.  Some observations on properties of certain mixed finite element approximations , 1975 .

[48]  J. Oden,et al.  Convergence of Mixed Finite-Element Approximations of a Class of Linear Boundary-Value Problems , 1973 .

[49]  B. D. Veubeke.  Displacement and equilibrium models in the finite element method , 1965 .