Finite element analysis of damaged multilayered composite beams with transverse deformability

A third-order Hermitian zig-zag plate theory is presented as development of the classical cubic zig-zag one. In addition to the capabilities of the previous model ((i) transverse shear flexibility, (ii) through-the-thickness continuity of the transverse shear stresses, (iii) traction-free condition on the two external surfaces of the laminate and (iv) possibility to study damaged interfaces), the Hermitian model offers interesting improvements ((i) through-the-thickness linear transverse displacement, (ii) transverse normal deformability, (iii) traction equilibrium condition on the external surfaces and (iv) use of the displacements and transverse shear stresses of the external surfaces as degrees of freedom). The Hermitian zig-zag theory, together with the application of the sublaminates approach, can also be used to obtain more detailed local through-the-thickness distributions of transverse normal and shear quantities. At first a beam finite element based on the Hermitian model has been formulated. Then a discretizing and assembling procedure has been used that enables to divide the laminate thickness in a number of elements-sublaminates. A numerical assessment of the method potentialities is presented.

[1]  L. Librescu,et al.  Implications of damaged interfaces and of other non-classical effects on the load carrying capacity of multilayered composite shallow shells , 2002 .

[2]  Alexander Tessler,et al.  An improved plate theory of {1,2}-order for thick composite laminates , 1993 .

[3]  David Kennedy,et al.  Effect of Interfacial Imperfection on Buckling and Bending Behavior of Composite Laminates , 1996 .

[4]  Tarun Kant,et al.  Numerical analysis of thick plates , 1982 .

[5]  Alexander Tessler,et al.  A {3,2}-order bending theory for laminated composite and sandwich beams , 1998 .

[6]  R. C. Averill,et al.  Thick beam theory and finite element model with zig-zag sublaminate approximations , 1996 .

[7]  E. Reissner On a mixed variational theorem and on shear deformable plate theory , 1986 .

[8]  Tarun Kant,et al.  Analytical solution to the dynamic analysis of laminated beams using higher order refined theory , 1997 .

[9]  Sritawat Kitipornchai,et al.  Influence of imperfect interfaces on bending and vibration of laminated composite shells , 2000 .

[10]  Liviu Librescu,et al.  Non-linear response of laminated plates and shells to thermomechanical loading: Implications of violation of interlaminar shear traction continuity requirement , 1999 .

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

[12]  R Schmidt,et al.  A general theory of geometrically imperfect laminated composite shells featuring damaged bonding interfaces , 1999 .

[13]  L. Librescu,et al.  Effects of Interfacial Damage on the Global and Local Static Response of Cross-Ply Laminates , 1999 .

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

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

[16]  Ronald C. Averill,et al.  First-order zig-zag sublaminate plate theory and finite element model for laminated composite and sandwich panels , 2000 .

[17]  Dahsin Liu,et al.  Interlayer shear slip theory for cross-ply laminates with nonrigid interfaces , 1992 .

[18]  Venkat Aitharaju C0 Zigzag Kinematic Displacement Models for the Analysis of Laminated Composites , 1999 .

[19]  S. Abrate Impact on Laminated Composite Materials , 1991 .

[20]  Higher-order theories for symmetric and unsymmetric fiber reinforced composite beams with C 0 finite elements , 1990 .