Enhanced zigzag theory for static analysis of composite plates

被引:3
作者
Nath, Jayanta Kumar [1 ]
Mishra, Bibhuti Bhusana [1 ]
机构
[1] Siksha O Anusandhan Deemed Be Univ, Fac Engn & Technol, Bhubaneswar 751030, India
关键词
Static analysis; Composite plate; Zigzag theory; Navier solution; Transverse shear stress; TRANSVERSE-SHEAR DEFORMATION; MIXED VARIATIONAL THEOREM; HIGHER-ORDER THEORY; LAMINATED COMPOSITE; SANDWICH PLATES; MULTILAYERED PLATES; FINITE-ELEMENTS; THICK; VIBRATION; STRESSES;
D O I
10.1007/s00419-018-1390-x
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
An enhanced efficient zigzag theory is presented for the static response in elastic composite plates under mechanical loading. The number of variables is six, which is one more than the conventional zigzag theory. Transverse shear stresses have been obtained through the use of constitutive equations in both symmetric and antisymmetric laminates under uniformly and sinusoidally applied mechanical load. The theory has a good representation of all the three displacement components. This is obtained by using individual descriptions for each layer as is observed in three-dimensional elasticity solution. Interlaminar continuity conditions on all displacement components, all transverse stresses and on the gradient of transverse normal stress as well as transverse shear-free conditions on the top and the bottom surfaces have been utilized to make the primary variables independent of number of layers in the laminate. Equilibrium equations and boundary conditions are derived from variational principle. Navier solution is obtained for simply supported square and rectangular plates. The accuracy of the present theory is assessed by comparison with three-dimensional (3D) elasticity solution. It is found that refinement of the transverse displacement alone is not sufficient to make the new theory capable of providing good accuracy in calculation of transverse stresses from constitutive equations, though some improvement is obtained in case of symmetric laminates.
引用
收藏
页码:1595 / 1615
页数:21
相关论文
共 92 条
[31]   Free vibration analysis of multi-layered composite laminates based on an accurate higher-order theory [J].
Ganapathi, M. ;
Makhecha, D.P. .
Composites Part B:Engineering, 2001, 32 (06) :535-543
[32]  
Gherlone M., 2009, MAFELAP 2009 C BRUN
[33]   On the Use of Zigzag Functions in Equivalent Single Layer Theories for Laminated Composite and Sandwich Beams: A Comparative Study and Some Observations on External Weak Layers [J].
Gherlone, Marco .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2013, 80 (06)
[34]  
Hayashi T., 1967, Transactions of the Japan Society of Aeronautics Space Science, V10, P43
[35]   Eight-noded zig-zag element for deflection and stress analysis of plates with general lay-up [J].
Icardi, U .
COMPOSITES PART B-ENGINEERING, 1998, 29 (04) :425-441
[36]   Co plate element for global/local analysis of multilayered composites, based on a 3D zig-zag model and strain energy updating [J].
Icardi, U .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2005, 47 (10) :1561-1594
[37]   Recovering critical stresses in sandwiches using through-the-thickness reinforcement [J].
Icardi, U. ;
Sola, F. .
COMPOSITES PART B-ENGINEERING, 2013, 54 :269-277
[38]  
Icardi U, 2003, MECH ADV MATER STRUC, V10, P77, DOI [10.1080/15376490306737, 10.1080/15376490390118139]
[39]   Higher-order zig-zag model for analysis of thick composite beams with inclusion of transverse normal stress and sublaminates approximations [J].
Icardi, U .
COMPOSITES PART B-ENGINEERING, 2001, 32 (04) :343-354
[40]   Assessment of recent zig-zag theories for laminated and sandwich structures [J].
Icardi, Ugo ;
Sola, Federico .
COMPOSITES PART B-ENGINEERING, 2016, 97 :26-52