Modelling of weakly bonded laminated composite plates at large deflections

Abstract Based on a general representation of displacement variation through the thickness of laminated plates, a Karman type nonlinear theory of laminated composite plates with weakened interfacial bonding is developed. Each weakly bonded interface is modelled by a spring-layer model which has recently been used efficiently in the field of micromechanics of composites. This spring-layer model allows for a discontinuous distribution of displacements, but requires the tractions to be continuous across each interface of adjacent layers. The set of governing equations has variable coefficients in the most general form of bonding and includes conventional third-order zigzag nonlinear theory of Karman type for laminated composite plates as a special case when extreme values of interface parameters are used. Some simple numerical examples allowing for a closed-form solution are presented to give an understanding of how a small amount of interfacial weakness affects the overall and local behaviour of laminated composite plates. These include the important practical problem of reduced interface stresses due to weakened interfacial bonding, which can be predicted by the theory presented herein.

[1]  A. Rao,et al.  Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates , 1970 .

[2]  Marco Di Sciuva,et al.  Multilayered anisotropic plate models with continuous interlaminar stresses , 1992 .

[3]  Ahmed K. Noor,et al.  Assessment of Shear Deformation Theories for Multilayered Composite Plates , 1989 .

[4]  J. Qu.  Eshelby Tensor for an Elastic Inclusion With Slightly Weakened Interface , 1993 .

[5]  J. Reddy.  A Simple Higher-Order Theory for Laminated Composite Plates , 1984 .

[6]  T. K. Varadan,et al.  Large deflection analysis of laminated composite plates , 1993 .

[7]  Jacob Aboudi,et al.  Damage in composites—Modeling of imperfect bonding , 1987 .

[8]  Zvi Hashin,et al.  The Spherical Inclusion With Imperfect Interface , 1991 .

[9]  Zvi Hashin,et al.  Thermoelastic properties of fiber composites with imperfect interface , 1990 .

[10]  M. D. Sciuva,et al.  BENDING, VIBRATION AND BUCKLING OF SIMPLY SUPPORTED THICK MULTILAYERED ORTHOTROPIC PLATES: AN EVALUATION OF A NEW DISPLACEMENT MODEL , 1986 .

[11]  J. Reddy,et al.  THEORIES AND COMPUTATIONAL MODELS FOR COMPOSITE LAMINATES , 1994 .

[12]  Linghui He,et al.  A linear theory of laminated shells accounting for continuity of displacements and transverse shear stresses at layer interfaces , 1994 .

[13]  Jan Drewes Achenbach,et al.  Effect of interfacial zone on mechanical behavior and failure of fiber-reinforced composites , 1989 .

[14]  Y. Benveniste,et al.  The effective mechanical behaviour of composite materials with imperfect contact between the constituents , 1985 .

[15]  Maenghyo Cho,et al.  An efficient higher-order plate theory for laminated composites , 1992 .

[16]  Liviu Librescu,et al.  Further results concerning the refined theory of anisotropic laminated composite plates , 1994 .

[17]  Zvi Hashin,et al.  Thermoelastic properties of particulate composites with imperfect interface , 1991 .

[18]  H. E. Ling-Hui.  Non-linear theory of laminated shells accounting for continuity conditions of displacements and tractions at layer interfaces , 1995 .

[19]  Liviu Librescu,et al.  Substantiation of a shear-deformable theory of anisotropic composite laminated shells accounting for the interlaminae continuity conditions , 1991 .

[20]  T. K. Varadan,et al.  ACCURATE BENDING ANALYSIS OF LAMINATED ORTHOTROPIC PLATES , 1990 .

[21]  Maenghyo Cho,et al.  Efficient higher order composite plate theory for general lamination configurations , 1993 .

[22]  Maenghyo Cho,et al.  Finite element for composite plate bending based on efficient higher order theory , 1994 .

[23]  Jianmin Qu,et al.  The effect of slightly weakened interfaces on the overall elastic properties of composite materials , 1993 .

[24]  Liviu Librescu,et al.  Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures , 1975 .

[25]  Ugo Icardi,et al.  Discrete-layer models for multilayered shells accounting for interlayer continuity , 1993 .

[26]  Jasbir S. Arora,et al.  Use of ADINA for design optimization of nonlinear structures , 1987 .

[27]  Aditi Chattopadhyay,et al.  New higher order plate theory in modeling delamination buckling of composite laminates , 1994 .

[28]  Iwona M Jasiuk,et al.  Effect of interface on the elastic stiffness of composites , 1989 .

[29]  M. Di Sciuva,et al.  An Improved Shear-Deformation Theory for Moderately Thick Multilayered Anisotropic Shells and Plates , 1987 .

[30]  P. Gaudenzi.  A general formulation of higher-order theories for the analysis of laminated plates , 1992 .

[31]  N. Pagano,et al.  Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates , 1970 .

[32]  A. K. Jemah,et al.  Theory for Multilayered Anisotropic Plates With Weakened Interfaces , 1996 .