Nonlinear bending analysis of a 3D braided composite cylindrical panel subjected to transverse loads in thermal environments

Abstract The aim of this study is to investigate nonlinear bending for a 3-Dimensional (3D) braided composite cylindrical panel which has transverse loads on its finite length. By refining a micro-macro-mechanical model, the 3D braided composite can be treated as a representative average cell system. The geometric structural properties of its components deeply depend on their positions in the section of the cylindrical panel. The embedded elastic medium of the panel can be described by a Pasternak elastic foundation. Via using the shell theory of the von Karman-Donnell type of kinematic nonlinearity, governing equations can be established to get higher-order shear deformation. The mixed Galerkin-perturbation method is applied to get the nonlinear bending behavior of the 3D braided cylindrical panel with a simply supported boundary condition. Based on the analysis of the braided composite cylindrical panel with variable initial stress, geometric parameter, fiber volume fraction, and elastic foundation, serial numerical illustrations are archived to represent the appropriate nonlinear bending responses.

[1]  J. S. Kumar,et al.  Bending analysis of laminated composite plates using finite element method , 2012 .

[2]  Huiyu Sun,et al.  Prediction of the mechanical properties of three-dimensionally braided composites , 1997 .

[3]  S. Kalidindi,et al.  Longitudinal and Transverse Moduli and Strengths of Low Angle 3-D Braided Composites , 1996 .

[4]  Zheng-Ming Huang,et al.  A bridging model prediction of the ultimate strength of composite laminates subjected to biaxial loads , 2004 .

[5]  J. N. Reddy,et al.  A higher-order shear deformation theory of laminated elastic shells , 1985 .

[6]  Marco Di Sciuva,et al.  Geometrically Nonlinear Theory of Multilayered Plates with Interlayer Slips , 1997 .

[7]  Erasmo Carrera,et al.  Improved bending analysis of sandwich plates using a zig-zag function , 2009 .

[8]  Hui‐Shen Shen A Two-Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells , 2013 .

[9]  L. Ye,et al.  Evaluation of elastic properties of 3-D (4-step) regular braided composites by a homogenisation method , 1999 .

[10]  D. N. Paliwal,et al.  Free vibrations of circular cylindrical shell on Winkler and Pasternak foundations , 1996 .

[11]  J. N. Reddy,et al.  A GENERAL NON-LINEAR THIRD-ORDER THEORY OF PLATES WITH MODERATE THICKNESS , 1990 .

[12]  Hui-Shen Shen Nonlinear analysis of simply supported Reissner–Mindlin plates subjected to lateral pressure and thermal loading and resting on two-parameter elastic foundations , 2000 .

[13]  Marco Gherlone,et al.  A global/local third-order Hermitian displacement field with damaged interfaces and transverse extensibility: FEM formulation , 2003 .

[14]  A. Pramila,et al.  Finite Element Analysis of Linear Thermal Expansion Coefficients of Unidirectional Cracked Composites , 2001 .

[15]  D. Adams,et al.  Combined loading micromechanical analysis of a unidirectional composite , 1984 .

[16]  Hong-Liang Dai,et al.  Refined plate theory for bending analysis of a HSLA steel plate under 3D temperature field , 2015, Appl. Math. Comput..

[17]  K. M. Liew,et al.  Three-dimensional elasticity solutions to some orthotropic plate problems , 1999 .

[18]  Jian Song,et al.  Fatigue life prediction model of 2.5D woven composites at various temperatures , 2017 .

[19]  M. Gherlone,et al.  Anisotropic cubic hermitian polynomials and their use in the theory of laminated plates , 2009 .

[20]  D. Adams,et al.  Hygrothermal Microstresses in a Unidirectional Composite Exhibiting Inelastic Material Behavior , 1977 .

[21]  David E. Bowles,et al.  Prediction of Coefficients of Thermal Expansion for Unidirectional Composites , 1989 .

[22]  George J. Simitses,et al.  Shear deformable theories for cylindrical laminates - Equilibrium and buckling with applications , 1992 .

[23]  Richard Schapery Thermal Expansion Coefficients of Composite Materials Based on Energy Principles , 1968 .

[24]  J. Reddy Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[25]  J. N. Reddy,et al.  Shear Deformation Plate and Shell Theories: From Stavsky to Present , 2004 .

[26]  Hui‐Shen Shen Non-linear bending of shear deformable laminated plates under lateral pressure and thermal loading and resting on elastic foundations , 2000 .

[27]  D. Song,et al.  Stress analysis and damage evolution in individual plies of notched composite laminates subjected to in-plane loads , 2017 .

[28]  Y. Xing,et al.  Analytical solution methods for eigenbuckling of symmetric cross-ply composite laminates , 2017 .

[29]  Y. Q. Wang,et al.  Spatial distribution of yarns and mechanical properties in 3D braided tubular composites , 1997 .

[30]  M. Shokrieh,et al.  A new analytical model for calculation of stiffness of three-dimensional four-directional braided composites , 2012 .

[31]  Kadir Bilisik,et al.  Three-dimensional braiding for composites: A review , 2013 .

[32]  D. J. Dawe,et al.  Postbuckling Analysis of Composite Laminated Panels , 2000 .