A failure model for the analysis of thin woven glass composite structures under impact loadings

Abstract A progressive damage model for a woven glass fibre fabric reinforced with epoxy composite was developed and implemented into a well known explicit Lagrangian finite element code. The approach uses a novel damage mechanics formulation to predict in-plane damage in a woven fabric composite defined by matrix cracks and fibre fracture in the warp and weft directions. The model uses a stress based energy dissipation approach and an advanced post failure strain softening methodology. Strain-rates effects, which are commonly observed for woven glass composites are modelled using a damage lag formulation within the constitutive model. Results are compared with laboratory experiments and full-scale tests. The comparisons indicate that the damage model can predict with reasonable accuracy the damage modes observed in both the laboratory and full-scale experiments. Conclusions are presented also on the logical extensions to the damage formulation.

[1]  Dusan Krajcinovic,et al.  Damage mechanics: accomplishments, trends and needs , 2000 .

[2]  G. Frantziskonis.  Distributed damage in composites, theory and verification , 1988 .

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

[4]  Z. Bažant.  Mechanics of Distributed Cracking , 1986 .

[5]  Robert L. Taylor,et al.  A constitutive model for anisotropic damage in fiber-composites , 1995 .

[6]  James D. Lee.  Three dimensional finite element analysis of layered fiber-reinforced composite materials , 1980 .

[7]  Satoshi Kobayashi,et al.  Damage mechanics analysis of transverse cracking behavior in composite laminates , 2000 .

[8]  M. D. Olson,et al.  Finite element analysis of fibrous composite structures: A plasticity approach , 1992 .

[9]  F. Chang,et al.  A Progressive Damage Model for Laminated Composites Containing Stress Concentrations , 1987 .

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

[11]  Z. Hashin.  Failure Criteria for Unidirectional Fiber Composites , 1980 .

[12]  J. Harding,et al.  A tensile testing technique for fibre-reinforced composites at impact rates of strain , 1983 .

[13]  R. Anderssen,et al.  Prediction of the stiffness degradation in cross-ply laminates due to transverse matrix-cracking: an energy method approach , 1998 .

[14]  Pierre Ladevèze,et al.  A damage computational method for composite structures , 1992 .

[15]  Jerry I. Lin,et al.  Explicit algorithms for the nonlinear dynamics of shells , 1984 .

[16]  C. Chow,et al.  A Constitutive Theory of Matrix Cracking and Interply Delamination in Orthotropic Laminated Composites , 1992 .

[17]  Amar C. Garg,et al.  Delamination—a damage mode in composite structures , 1988 .

[18]  Nobuo Takeda,et al.  Damage Mechanics Analysis of Transverse Cracking Evolution in Delaminated CFRP Laminates , 1999 .

[19]  Ulf Edlund,et al.  Surface adhesive joint description with coupled elastic-plastic damage behaviour and numerical applications , 1994 .

[20]  Constantinos Soutis,et al.  Stiffness degradation in cross-ply laminates damaged by transverse cracking and splitting , 2000 .

[21]  P. Gudmundson,et al.  Initiation and growth criteria for transverse matrix cracks in composite laminates , 2000 .