Damage evolution in bimodular laminated composites under cyclic loading

This work deals with layered composite structures under cyclic loading. In particular, bimodular material laminates are considered and the Bert model is adopted. The analysis is developed using a finite element procedure based on a theory which takes into account the shear deformability (layer-wise deformation plate theory). The adoption of this theory is important to improve the stress evaluation by obtaining a better utilisation of the polynomial failure criteria for the identification of the cracked zones. To determine the stiffness reduction due to the damage evolution, the Laws et al. formulas are adopted for two types of crack (penny-shaped and slit-aligned). The analysis of the structures under cyclic loading is carried out by adopting some reasonable hypotheses on the reduction of the mechanical parameters and on the crack detection.

[1]  Raffaele Zinno,et al.  A three-dimensional layer-wise constant shear element for general anisotropic shell-type structures , 1994 .

[2]  N. Laws,et al.  Stiffness changes in unidirectional composites caused by crack systems , 1983 .

[3]  C. W. Bert,et al.  Bending of Thick Rectangular Plates Laminated of Bimodulus Composite Materials , 1981 .

[4]  Z. Hashin,et al.  EFFECTIVE ELASTIC MODULI OF CRACKED FIBER COMPOSITES , 1980 .

[5]  A. K. Pandey,et al.  A first-ply failure analysis of composite laminates , 1987 .

[6]  E. Chapon,et al.  Investigation of Successive Failure Modes in Graphite/Epoxy Laminated Composite Beams , 1993 .

[7]  Ever J. Barbero,et al.  Formulas for the stiffness of composites with periodic microstructure , 1994 .

[8]  J. N. Reddy,et al.  On the Generalization of Displacement-Based Laminate Theories , 1989 .

[9]  F. Tabaddor.  Constitutive Equations for Bimodulus Elastic Materials , 1972 .

[10]  J. Reddy.  An introduction to the finite element method , 1989 .

[11]  R. D. Mindlin,et al.  Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates , 1951 .

[12]  N. Laws,et al.  The effect of micro-crack systems on the loss of stiffness of brittle solids , 1987 .

[13]  J. N. Reddy,et al.  General two-dimensional theory of laminated cylindrical shells , 1990 .

[14]  S. Srinivas,et al.  A refined analysis of composite laminates , 1973 .

[15]  O. Hoffman.  The Brittle Strength of Orthotropic Materials , 1967 .

[16]  C. W. Bert,et al.  Models for Fibrous Composites With Different Properties in Tension and Compression , 1977 .

[17]  E. Barbero,et al.  Total Lagrangian formulation for laminated composite plates analysed by three-dimensional finite elements with two-dimensional kinematic constraints , 1995 .

[18]  Jean-Jacques Marigo,et al.  MODELLING OF BRITTLE AND FATIGUE DAMAGE FOR ELASTIC MATERIAL BY GROWTH OF MICROVOIDS , 1985 .

[19]  E. Barbero,et al.  On a generalized laminate theory with application to bending, vibration, and delamination buckling in composite laminates , 1989 .

[20]  Alan Hoenig,et al.  Elastic moduli of a non-randomly cracked body , 1979 .

[21]  Robert M. Jones,et al.  Bending and extension of cross-ply laminates with different moduli in tension and compression , 1980 .

[22]  J. N. Reddy,et al.  Three-Dimensional Finite Element Progressive Failure Analysis of Composite Laminates Under Axial Extension , 1993 .

[23]  A. P. Nanyaro,et al.  Evaluation of the Tensor Polynomial Failure Criterion for Composite Materials , 1978 .

[24]  Dusan Krajcinovic,et al.  A self-consistent model for microcrack-weakened solids , 1987 .

[25]  G. Dvorak,et al.  The effect of fiber breaks and aligned penny-shaped cracks on the stiffness and energy release rates in unidirectional composites , 1987 .

[26]  P. Marcal,et al.  Introduction to the Finite-Element Method , 1973 .

[27]  First-ply failure of laminated composite plates , 1993 .

[28]  G. Piatti,et al.  Advances in composite materials , 1978 .

[29]  Raffaele Zinno,et al.  Nonlinear analysis of doubly curved composite shells of bimodular material , 1993 .

[30]  R. Hill.  The mathematical theory of plasticity , 1950 .

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

[32]  Stephen W. Tsai,et al.  A General Theory of Strength for Anisotropic Materials , 1971 .