Influence of particle size on the fracture toughness of a PP-based particulate composite

The main focus of this paper is a numerical investigation of the fracture behavior of a particulate composite (CaCO₃-PP). The composite is modeled as a three-phase continuum and simulated numerically on a microscale by using finite elements. The propagation of a microcrack in a matrix filled with rigid particles covered by an interphase is analyzed. The stress distribution is determined for a variety of particle sizes and material properties of the interphase. The final results, in agreement with experimental data, confirm that the microcrack behavior depends on particle sizes. Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 45, No. 3, pp. 411-418, May-June, 2009.     

On the effective moduli of composite materials: Experimental study of chopped-fiber reinforcement

Summary The dependence of the elastic moduli of chopped-fiber reinforced composites on the modulus ratio and the fiber length was studied experimentally at low volume fractions of fibers. For this purpose model composites were fabricated from an epoxy casting resin and chopped stainless steel fibers, and the elastic moduli of these samples were measured by an ultrasonic pulse technique. The results confirm in part the analytic expressions for the bulk moduli of such composites previously derived by the authors, but also emphasize the importance of fiber dispersion even at dilute concentrations.

---

Zusammenfassung Die Elastizitätsmoduli von faserverstärkten Composites hängen bekanntlich u.a. von dem Modulverhältnis zwischen Kernmaterial und Fasern sowie von der Faserlänge ab. Diese Abhängigkeit wurde experimentell bei niedrigen Volumenkonzentrationen der Faser untersucht. Zu diesem Zweck wurden Modelle aus Epoxy-Gussharz und aus zerschnittenen Chromstahlfasern hergestellt. Die Elastizitätsmoduli liessen sich durch ein Ultraschall-Pulsverfahren messen. Die Resultate bestätigen zum Teil die von den Autoren früher hergeleiteten analytischen Ausdrücke für die Ersatzmoduli. Sie zeigen aber auch sogar bei niedriger Volumenkonzentration die primäre Bedeutung der Faserdispersion.

     

Interlaminar fracture and low-velocity impact of carbon/epoxy composite materials

The interlaminar fracture and the low-velocity impact behavior of carbon/epoxy composite materials have been studied using width-tapered double cantilever beam (WTDCB), end-notched flexure (ENF), and Boeing impact specimens. The objectives of this research are to determine the essential parameters governing interlaminar fracture and damage of realistic laminated composites and to characterize a correlation between the critical strain energy release rates measured by interlaminar fracture and by low-velocity impact tests. The geometry and the lay-up sequence of specimens are designed to probe various conditions such as the skewness parameter, beam volume, and test fixture. The effect of interfacial ply orientations and crack propagation directions on interlaminar fracture toughness and the effect of ply orientations and thickness on impact behavior are examined. The critical strain energy release rate was calculated from the respective tests: in the interlaminar fracture test, the compliance method and linear beam theory are used; the residual energy calculated from the impact test and the total delamination area estimated by ultrasonic inspection are used in the low-velocity impact test. Results show that the critical strain energy release rate is affected mainly by ply orientations. The critical strain energy release rate measured by the low-velocity impact test lies between the mode I and mode II critical strain energy release rates obtained by the interlaminar fracture test. Submitted to the 11th International Conference on Mechanics of Composite Materials (Riga, June 11–15, 2000). Published in Mekhanika Kompozitnykh Materialov, Vol. 36, No. 2, pp. 195–214, March–April, 2000.     

An evaluation of the interlaminar fracture toughness of a thermoplastic composite with offset centre flies

Conclusion The offset DCB specimen has been used to characterize the influence of cooling rate and loading rate on the interlaminar fracture properties of carbon fibre reinforced PEEK. By offsetting the mid-plane fibres by several degrees, the amount of fibre bridging occurring during fracture has been reduced considerably. It has been shown that IM6 carbon fibre PEEK is quite sensitive to the cooling conditions employed after consolidation at 380 °C. Low rates of cooling yield a high level of crystallinity and a reduced fracture toughness. The modified DCB specimen has been successfully applied to highlight a distinct interlaminar fracture rate sensitivity. The high rate properties of this material still leave cause for concern and more work is required before these materials will find widespread use.Published in Mekhanika Kompozitnykh Materialov, No. 4, pp. 476–483, July–August, 1992.     

Influence of initial stresses on fracture of composite materials containing interacting cracks

Considered in this study are the axially-symmetric problems of fracture of composite materials with interacting cracks, which are subjected to initial (residual) stresses acting along the cracks planes. An analytical approach within the framework of three-dimensional linearized mechanics of solids is used. Two geometric schemes of cracks location are studied: a circular crack is located parallel to the surface of a semi-infinite composite with initial stresses, and two parallel co-axial penny-shaped cracks are contained in an infinite composite material with initial stresses. The cracks are assumed to be under a normal or a radial shear load. Analysis involves reducing the problems to systems of second-kind Fredholm integral equations, where the solutions are identified with harmonic potential functions. Representations of the stress intensity factors near the cracks edges are obtained. These stress intensity factors are influenced by the initial stresses. The presence of the free boundary and the interaction between cracks has a significant effect on the stress intensity factors as well. The parameters of fracture for two types of composites (a laminar composite made of aluminum/boron/silicate glass with epoxy-maleic resin and a carbon/plastic composite with stochastic reinforcement by short ellipsoidal carbon fibers) are analyzed numerically. The dependence of the stress intensity factors on the initial stresses, physical-mechanical parameters of the composites, and the geometric parameters of the problem are investigated.     

A problem of fracture mechanics for composite materials with locally curved layers

Based on a piecewise homogeneous body model, by using the exact equations of linear theory of elasticity, a method for calculating the stress intensity factor in composites with locally curved layers containing cracks parallel to the direction of external normal loads is worked out. __________ Translated from Mekhanika Kompozitnykh Materialov, Vol. 42, No. 1, pp. 75–86, January–February, 2006.     

Experimental and theoretical study of the supporting power of longitudinally compressed slightly conical shells made of composite materials

Mechanics of Composite Materials -     

Interlaminar fracture toughness of graphite fiber-reinforced polyimide composites

Conclusion The present study has proved the effectiveness of the application of viscoelastic polymers with increased fracture toughness to graphite/polyimide composites interlaminar fracture toughness improvement. Thermoplastic polysulphone film and thermoresistant structural adhesive have proved to be inherently more effective for composites' delamination resistance growth than maleimide resin toughening and structural modification. The former inevitably results in increase of the honeycomb delamination resistance (Fig. 1) and its durability.Published in Mekhanika Kompozitnykh Materialov, Vol. 30, No. 6, pp. 848–852, November–December, 1994.     

Material state change relationships to fracture path development for large-strain fatigue of composite materials

The long-term performance of engineering structures is typically discussed in terms of such concepts as structural integrity, durability, damage tolerance, fracture toughness, etc. These familiar concepts are usually addressed by considering balance equations, crack growth relationships, constitutive equations with constant material properties, and constant or cyclically applied load conditions. The loading histories are represented by changing stress (or strain) states only. For many situations, especially for those associated with high-performance engineering structures, the local state of the material may also change during service, so that the properties used in the equations are functions of time and history of applied conditions. For example, the local values of stiffness, strength, and conductivity are altered by material degradation to create "property fields" that replace the global constants, and introduce time and history into the governing equations. The present paper will examine a small set of such problems, which involve the accumulation of distributed damage and the development of an eventual fracture path leading to failure. Specifically, the paper discusses this problem in the context of material state changes measured by impedance variations as a method of following the details of fracture path development. An analysis and interpretations of observations will be presented, and limitations and opportunities associated with this general concept will be discussed.     

Investigations of interlaminar fracture toughness of laminated polymeric composites

The behavior of interlaminar fracture of fiber reinforced laminated polymeric composites has been investigated in modes I, II, and different mixed mode I/II ratios. The experimental investigations were carried out by using conventional beam specimens and the compound version of the CTS (compact tension shear) specimen. In this study, a compound version of the CTS specimen is used for the first time to determine the interlaminar fracture toughness of composites. In order to verify the results obtained by the CTS tests, conventional beam tests were also carried out. In the beam tests, specimens of double cantilever beam (DCB) and end notched flexure (ENF) were used to obtain the critical rates of the energy release for failure modes I and II. The CTS specimen is used to obtain different mixed mode ratios, from pure mode I to pure mode II, by varying the loading conditions. The highest mixed mode ratio obtained in the experiment was G _I /G _II =60. The data obtained from these tests were analyzed by the finite element method. The separated critical rates G _I and G _II of the energy release were calculated by using the modified virtual crack closure integral (MVCCI) method. The experimental investigations were performed on a unidirectional glass/epoxy composite. The results obtained by the beam and CTS tests were compared. It was found that the interlaminar fracture toughness G _IC ^init of mode I at crack initiation and the corresponding value G _II ^Cinit of mode II obtained by the conventional beam and the CTS tests were in rather good agreement. The experimental results of interlaminar fracture of mixed mode were used to obtain the parameters required for the failure criterion. The two different failure criteria were compared. The best correlation with the experimental data was obtained by using the failure criterion proposed by Wu in 1967 containing linear and quadratic terms of the rates of the energy release.Presented at the 10th International Conference on the Mechanics of Composite Materials (Riga, April 20–23, 1998).Translated from Mekhanika Kompozitnykh Materialov, Vol. 34, No. 3, pp. 307–322, May–June, 1998.     

Use of composite materials in airframes

One of the most promising ways of tackling the problems of cushioning the response of an aircraft under dynamic and shock influences and reducing aerothermoelastic strains is examined. This is the use of composite materials in the airframe and engine. The characteristics of the composites most developed at the present time and of ordinary construction materials are compared. Examples are given of the use of modern composites in aircraft and their engines.Professor N. E. Zhukovskii Moscow Air Force Engineering Academy. Translated from Mekhanika Polimerov, No. 1, pp. 105–112, January–February, 1972.