A probabilistic formulation for fracture energy of continuous fibre-brittle matrix composites

1989 ◽  
Vol 8 (5) ◽  
pp. 576-577 ◽  
Author(s):  
Robert C. Wetherhold
Keyword(s):  
Fracture Energy ◽  
Matrix Composites ◽  
Brittle Matrix ◽  
Continuous Fibre ◽  
Brittle Matrix Composites ◽  
Probabilistic Formulation

Effect of Fiber Extensibility on the Fracture Toughness of Short Fiber or Brittle Matrix Composites

1992 ◽  
Vol 45 (8) ◽  
pp. 377-389 ◽  
Author(s):  
L. K. Jain ◽  
R. C. Wetherhold
Keyword(s):  
Fracture Toughness ◽  
Fracture Energy ◽  
Fiber Orientation ◽  
Crack Opening ◽  
Matrix Composites ◽  
Brittle Matrix ◽  
Pull Out ◽  
General Terms ◽  
Brittle Matrix Composites ◽  
Fiber Orientation Distribution

A micromechanical model based on probabilistic principles is proposed to determine the effective fracture toughness increment and the bridging stress-crack opening displacement relationship for brittle matrix composites reinforced with short, poorly bonded fibers. Emphasis is placed on studying the effect of fiber extensibility on the bridging stress and the bridging fracture energy, and to determine its importance in cementitious matrix composites. Since the fibers may not be in an ideal aligned or random state, the analysis is placed in sufficiently general terms to consider any prescribable fiber orientation distribution. The model incorporates the snubbing effect observed during pull-out of fibers inclined at an angle to the crack face normal. In addition, the model allows the fibers to break; any fiber whose load meets or exceeds a single-valued failure stress will fracture rather than pull out. The crack bridging results may be expressed as the sum of results for inextensible fibers and an additional term due to fiber extensibility. An exact analysis is given which gives the steady-state bridging toughness G directly, but presents a non-linear problem for the bridging stress-crack opening (σb – δ) relationship. An approximate analysis is then presented which gives both G and σb – δ directly. To illustrate the effect of extensibility on bridging stress and fracture energy increment due to bridging fibers, a comparison with the inextensible fiber case is provided. It is found that effect of extensibility on fracture energy is negligible for common materials systems. However, extensibility may have a significant effect on the bridging stress-crack opening relationship. The effect of other physical and material parameters such as fiber length, fiber orientation and snubbing friction coefficient is also studied.

Brittle Matrix Composites 8

2006 ◽  
Author(s):  
A.M. Brandt ◽  
V.C. Li ◽  
I.H. Marshall
Keyword(s):  
Matrix Composites ◽  
Brittle Matrix ◽  
Brittle Matrix Composites

Brittle matrix composites 7

2003 ◽  
Author(s):  
A. M. Brandt ◽  
V. C. Li ◽  
I. H. Marshall
Keyword(s):  
Matrix Composites ◽  
Brittle Matrix ◽  
Brittle Matrix Composites

Failure Modes in Brittle Matrix Composites (BMC).

1998 ◽  
Author(s):  
Nicholas J. Pagano ◽  
G. P. Tandon ◽  
R. Y. Kim
Keyword(s):  
Failure Modes ◽  
Matrix Composites ◽  
Brittle Matrix ◽  
Brittle Matrix Composites

Stochastic Aspects of Matrix Cracking in Brittle Matrix Composites

1993 ◽  
Vol 115 (3) ◽  
pp. 314-318 ◽  
Author(s):  
S. M. Spearing ◽  
F. W. Zok
Keyword(s):  
Matrix Cracking ◽  
Matrix Composites ◽  
Brittle Matrix ◽  
Tensile Response ◽  
Brittle Matrix Composites ◽  
Crack Interactions ◽  
The Matrix ◽  
Interface Slip ◽  
Bridging Fibers

A computer simulation of multiple cracking in fiber-reinforced brittle matrix composites has been conducted, with emphasis on the role of the matrix flaw distribution. The simulations incorporate the effect of bridging fibers on the stress required for cracking. Both short and long (steady-state) flaws are considered. Furthermore, the effects of crack interactions (through the overlap of interface slip lengths) are incorporated. The influence of the crack distribution on the tensile response of such composites is also examined.

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