Interlayer shear slip theory for cross-ply laminates with nonrigid interfaces

In the conventional analysis for laminated composite materials, the composite interface is always assumed to be rigidly bonded. However, due to the low shear modulus and poor bonding, the composite interface can be nonrigid. Based on the previously developed inter laminar shear stress continuity theory and a linear shear slip law, this study presents a so-called interlayer shear slip theory to investigate the effect of the interfacial bonding on the behavior of cross-ply laminates. Closed-form solutions for the cases of the cylindrical bending of long composite strips with [0/0] and [0/90] sequences are obtained. Numerical results for the laminates with different length-to-thickness ratios are presented. They reveal that the interlayer shear slip theory is valid for cross-ply laminates with rigid and nonrigid interfaces. It is also concluded from this study that at some special locations, namely, singular points, the transverse shear stress or in-plane normal stress remains insensitive to the condition of interfacial bonding.

[1]  E. Reissner,et al.  On transverse bending of plates, including the effect of transverse shear deformation☆ , 1975 .

[2]  James R. Goodman,et al.  Finite Element Analysis of Layered Wood Systems , 1975 .

[3]  Rakesh K. Kapania,et al.  Recent advances in analysis of laminated beams and plates. Part I - Sheareffects and buckling. , 1989 .

[4]  N. J. Pagano,et al.  Stress fields in composite laminates , 1978 .

[5]  P. Tong,et al.  Finite Element Solutions for Laminated Thick Plates , 1972 .

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

[7]  J. N. Reddy,et al.  A review of refined theories of laminated composite plates , 1990 .

[8]  Robert L. Spilker,et al.  A hybrid-stress finite-element formulation for thick multilayer laminates , 1980 .

[9]  Anthony N. Palazotto,et al.  Nonlinear finite element analysis of thick composite plates using cubic spline functions , 1985 .

[10]  J. Whitney,et al.  Stress Analysis of Thick Laminated Composite and Sandwich Plates , 1972 .

[11]  Hidenori Murakami,et al.  A Composite Plate Theory for Arbitrary Laminate Configurations. , 1987 .

[12]  C. Bert,et al.  The behavior of structures composed of composite materials , 1986 .

[13]  A. Toledano,et al.  SHEAR-DEFORMABLE TWO-LAYER PLATE THEORY WITH INTERLAYER SLIP , 1988 .

[14]  J. N. Reddy,et al.  A generalization of two-dimensional theories of laminated composite plates† , 1987 .

[15]  R. Christensen,et al.  A High-Order Theory of Plate Deformation—Part 2: Laminated Plates , 1977 .

[16]  R. B. Nelson,et al.  A Refined Theory for Laminated Orthotropic Plates , 1974 .

[17]  R. Christensen,et al.  Stress solution determination for high order plate theory , 1978 .

[18]  Y. Stavsky,et al.  Elastic wave propagation in heterogeneous plates , 1966 .

[19]  Dahsin Liu,et al.  Impact-Induced Delamination—A View of Bending Stiffness Mismatching , 1988 .

[20]  Dahsin Liu,et al.  An Interlaminar Shear Stress Continuity Theory for Both Thin and Thick Composite Laminates , 1992 .

[21]  Dahsin Liu,et al.  Static and vibration analysis of laminated composite beams with an interlaminar shear stress continuity theory , 1992 .

[22]  K. M. Rao,et al.  Imperfectly Bonded Unsymmetric Laminated Beam , 1980 .

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

[24]  J. Whitney,et al.  Shear Deformation in Heterogeneous Anisotropic Plates , 1970 .

[25]  N. Pagano,et al.  Exact Solutions for Composite Laminates in Cylindrical Bending , 1969 .

[26]  James R. Goodman,et al.  Service and Overload Behavior of Wood Joist Floor Systems , 1974 .

[27]  Marco Di Sciuva,et al.  Development of an anisotropic, multilayered, shear-deformable rectangular plate element , 1985 .

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

[29]  N. Pagano,et al.  Models for Studying Free-edge Effects , 1989 .

[30]  N. J. Pagano,et al.  Some Observations on the Interlaminar Strength of Composite Laminates , 1973 .

[31]  Dahsin Liu,et al.  Interlaminar stress continuity theory for laminated composite analysis , 1991 .

[32]  E. P. Popov,et al.  Layered Beam Systems with Interlayer Slip , 1968 .

[33]  Paul Fazio,et al.  Sandwich Bean-Columns with Interlayer Slips , 1982 .

[34]  E. Reissner.  On a certain mixed variational theorem and a proposed application , 1984 .