On the use of energy methods for interpretation of results of single-fiber fragmentation experiments

_We consider fragmentation experiments as a set of experimental results for fiber break density as a function of applied strain. This paper explores the potential for using fracture mechanics or energy methods in interpreting fragmentation experiments. We found that energy does not control fiber fracture; instead, fiber fracture releases much more energy than required to fracture the fiber. The excess released energy can lead to other damage mechanisms such as interfacial debonding. By assuming that all the excess released energy causes interfacial debonding and balancing energy using the energy release rate for debonding, we were able to determine interfacial toughness from fragmentation experiments. A reliable determination of interfacial toughness requires prior knowledge of interphase stress-transfer properties, fiber failure properties, actual damage mechanisms, and the coefficient of friction at the interface.     

Effect of surface treatment condition on interfacial degradation behavior in GFRP under acidic conditions

Interfacial degradation behavior of E-glass cloth reinforced vinyl ester resin under acidic conditions has been investigated. Specimens with different surface treatment conditions were prepared. Mode I fracture toughness tests were performed using DCB specimen, and the effect of surface treatment condition and immersion time on the crack propagation behavior is discussed. The crack propagation behavior changes as a function of the condition of the silane coupling agent and the immersion time due to the degradation of the interphase. A technique is proposed to evaluate the interfacial property. The change of fracture toughness of interphase and resin as a function of immersion time is studied by the crack propagation behavior and the fracture toughness of interphase and resin evaluated by this technique. The fracture toughness of interphase decreases rapidly with immersion in acidic solution.     

Computer simulation of the matrix-inclusion interphase in bulk metallic glass based nanocomposites

Atomistic models for matrix-inclusion systems are generated. Analyses of the systems show that interphase layers of finite thickness appear interlinking the surface of the nanocrystalline inclusion and the embedding amorphous matrix. In a first approximation, the interphase is characterized as an amorphous structure with a density slightly reduced compared to that of the matrix. This result holds for both monatomic hard sphere systems and a Cu(47.5)Zr(47.5)Al(5) alloy simulated by molecular dynamics (MD). The elastic shear and bulk modulus of the interphase are calculated by simulated deformation of the MD systems. Both moduli diminish with decreasing density but the shear modulus is more sensitive against density reduction by one order of magnitude. This result explains recent observations of shear band initiation at the amorphous-crystalline interface during plastic deformation.     

Effect of sizing agent on interfacial properties of aramid knitted structural composites

Tensile tests have been carried out on aramid knitted fabrics/epoxy resin composites in which the aramid knitted fabrics are treated with different sizing agents. Two kinds of surface treatment are performed; one uses an epoxy sizing agent and the other uses a polyethylene sizing agent. Tensile modulus and strength of epoxy-sized composites are higher than those of polyethylene-sized composites. The fracture process is different between epoxy- and polyethylene-sized materials. This difference in fracture process is caused by the different interphase made from either epoxy or polyethylene sizing treatments, resulting in the different tensile performance. Moreover, the tensile properties of the wale specimen are more affected than those of the course specimen by the interphase.     

Mechanical properties of flat braided composite with flexible interphase

Textile composites have been used extensively as industrial materials because of the excellent mechanical properties resulting from the continuously oriented fiber bundle. In a study of the mechanical properties, it is important to consider the fiber/matrix interface property as for other composite materials. In a recent study, the fiber/matrix interface is regarded as an interphase that has its own material constants and thickness; consequently, the mechanical properties of a composite can be controlled by specifically designing the interphase. In this study, we applied this concept to braided composites with flexible resin as interphase for the purpose of designing the interphase. In a static tensile test, though there were no improvements in Noncut specimens (normal braided composites), but a Cut specimen (each side of the Noncut specimen was cut) with flexible interphase was improved in fracture load and displacement. The observation of the specimen edge was carried out and it was confirmed that the progress of debonding at the fiber bundle intersection was interrupted by a flexible interphase, and a matrix crack did not occur in the Cut specimen with flexible interphase. In a fiber bundle pull-out test, it was confirmed that debonding progressed not into the fiber/resin interface but into the flexible interphase in the specimen with flexible interphase, and the interfacial property at the fiber bundle intersection was improved.     

Circumventing boundary effects while characterizing epoxy/copper interphases using nanoindentation

Characterization of the size and mechanical properties of interphases is essential when designing multicomponent materials. When nanoindentation is used to investigate the size and mechanical properties of an interphase, a common challenge is that the indenter or the stress zone formed around it are often restricted by the reinforcement, making it difficult to distinguish the mechanical property variations caused by the interphase itself from those caused by the boundary effect. In this work, a testing system was developed that allows determining the indent affected zone and accounting for it in the interphase measurements of an epoxy/Cu system. Using finite element analysis, we confirmed the validity of the proposed system. Nanoindentation was used to investigate the interphase between copper and two different epoxy systems; amine-cured and anhydride-cured. Nanoindentation results showed that a copper layer that is only 10 nm thick still exhibits a constriction effect on the indentations in its vicinity. The amine-cured epoxy did not show any sign of interphase existence using the introduced method. However, a soft interphase with a thickness of ~1.7 μm was measured on the anhydride-cured epoxy. Furthermore, we show that the proposed system can be used to determine the interphase thickness as well as its relative mechanical properties regardless of the indentation depth. This system can be further used for investigating other polymer/metal interphases to better understand the factors influencing them, thus helping engineer the interphase size and properties to enhance composite performance.     

The influence of structure of the interface and interphase on paint adhesion

It has been demonstrated earlier that significant adhesion enhancement to chemically inert polyolefins can be attained through surface grafted connector molecules reactive with oxidized substrate surface. The effectiveness of adhesion improvement through such tethered interfaces was shown to depend on the mode of interaction with the adjacent medium: interpenetration or chemical reaction, as well as surface density and length of grafted molecules. We have frequently observed that some systems, such as in painted products, fail through the delamination of the coating from the substrate surface at the stress levels well below the anticipated load-bearing capacity of the tethered interface. Two interim hypotheses have been formulated to explain the observed phenomenon: (i) The chain scission in surface oxidized polyolefins takes place not only in the uppermost polymer surface, but may propagate into the sub-surface region, thus creating a weak boundary layer which fails cohesively through its bulk, (ii) In order to increase the load-bearing capacity of the interphase, the sub-surface region of the substrate needs to be reinforced by short-chain molecules penetrating into and subsequently providing effective crosslinks between individual fragments of excessively oxidized and hence, weaker sub-surface part of the interphase. In this paper we verify the above hypotheses. The oxidized sub-surface layer reinforced by polyethyleneimine becomes an integral part of the effective interphase in addition to the tethered interface and the interpenetrated network of connector molecules and the paint.     

Atomistic–continuum interphase model for effective properties of composite materials containing nano-inhomogeneities

Classical micromechanics were revised to study the elastic properties of heterogeneous materials containing nano-inhomogeneities. Contrary to previous studies, this work introduces the concept of an interphase, in contrast to a sharp interface, to account for the interface excess stress effect at the nano-scale. The interphase's constitutive properties are derived from atomistic simulations within the continuum framework. These properties are then incorporated in a micromechanics-based interphase model to compute the effective properties of nano-composites. This scale transition approach bridges the gap between discrete systems (atomic level interactions) and continuum mechanics. An advantage of this approach is that it combines atomistic with continuum models that consider inhomogeneity and interphase morphology. It thereby enables us to account simultaneously for both the shape and the anisotropy of a nano-inhomogeneity and interphase at the continuum level when we compute a material's overall properties. In so doing, it frees us from making any assumptions about the interface characteristics between matrix and the nano-inhomogeneity.     

Interphase characterization in polymer composites - monitoring of interphasial behavior in dependence on the mode of loading

Single fiber model composites consisting of epoxy resin matrix and differently sized glass fibers were investigated using pull-out tests, scanning electron microscopy (SEM), scanning force microscopy (SFM) and single fiber dynamic load test (SFDL). The inhomogeneous stress distribution along the embedded fiber length could be visualized by monitoring. SEM images showed either cohesive fracture or adhesive failure on pulled-out fibers with different sizings. The crack initiation and propagation were detected randomly and multiply distributed as the inhomogeneous interphase itself and depending strongly on the fiber-matrix model combination. The meniscus region acts as a material inhomogeneity and its appearence depends on the surface free energies of fiber and matrix and on the curing conditions of the resin. SFM in force modulation mode has visualized different interphase thicknesses and gradients of local stiffness. The SFDL test has been shown as a worthful tool for the comprehensive determination of fiber-matrix interaction.     

Effect of Geometry,Loading and Elastic Moduli on Critical Parameters in a Nanoindentation Test in Polymeric Matrix Composites with a Nonhomogeneous Interphase

Fiber nanoindentation models are developed for polymeric matrix composites with nonhomogeneous interphases. Using design of experiments, the effects of geometry, loading and material parameters on the critical parameters of the indentation test such as the load–displacement curve, the maximum interfacial shear and normal stresses are studied. The sensitivity analysis shows that the initial load–displacement curve is dependent only on the indenter type, and not on parameters such as fiber volume fraction, interphase type, thickness of interphase, and boundary conditions. The interfacial tensile radial stresses are not sensitive to indenter type, or to type and thickness of interphase, while the interfacial compressive radial stresses are sensitive mainly to boundary conditions and thickness of interphase; however, the influence of these factors on the interfacial radial stresses can be large. In contrast, the interfacial shear stress is sensitive to all factors, but the influence of the factors is relatively small.     

Effect of surface elasticity on scattering of elastic P-waves from a nanofiber including an inhomogeneous interphase

Scattering of elastic P-waves from a nanofiber in a matrix is studied analytically throughout this paper. An inhomogeneous interphase region is considered between the nanofiber and the matrix. Dividing the interphase into homogeneous sublayers, surface elasticity effects are studied in the layers adjacent to matrix and nanofiber. Wave function expansion method is used to solve the corresponding equations in all three phases including fiber, interphase, and matrix. Dynamic stress concentration factors around the nanofiber are calculated and utilizing a parametric study, effects of different parameters, such as nanoscale interface, interphase thickness, and interphase rigidity are investigated. The results indicate that considering the effects of surface elasticity in wave scattering problems from inhomogeneous interphases show a major impact on the results. The dimensionless equations presented in this paper provide the possibility of further numerical studies.     

Interfacial region in blends of linear polymers formed in situ

Blends of linear polyurethane and poly(methyl methacrylate) were obtained by the simultaneous curing of the mixture of two monomers. It was shown that the blends obtained in situ are two-phase systems in which two phases enriched in one of the blend components are separated by an intermediate region, the interphase. From the DSC data the compositions of two phases were estimated. It was observed that introduction of a filler leads to the appearance of an additional temperature transition lying between glass transition temperatures of the two phases. The fraction of the interphase was calculated from the calorimetric data. The introduction of a filler increases this fraction. This may be considered as some improving of compatibility of the two components in the presence of a filler.     

Application of a nonlinear boundary condition model to adhesion interphase damage and failure

In an earlier paper [J. Sadler, B. O'Neill, and R. Maev, J. Acoust. Soc. Am. 118, 51-59 (2005)], a set of generalized boundary conditions were proposed, based on a thin layer (thickness < wavelength) model of the acoustic interface. In this paper, the model is extended to cover the more pathological nonlinearity of the adhesion interphase-that is, the critically important thin layer where bonds are formed between adhesive and substrate. First, the boundary conditions are shown to be sufficiently general to cope with all manner of interphase nonlinearity, including unilateral cases such as clapping or slipping. To maintain this generality, an analytic time domain solution is proposed based on expansion in terms of the layer thickness rather than the conventional expansion in terms of harmonics. Finally, the boundary conditions are applied to an interphase failure model based upon basic continuum damage mechanics principles. It is proposed that such a model, which can predict the evolution of the interphase damage under stressful conditions, may allow a proper prediction of the ultimate adhesion strength based on nonlinear parameters measured nondestructively with ultrasound.     

Formation of a passivating film at the lithium-PEO-LiCF3SO3 interface

The formation of a passivating film on lithium electrodes is demonstrated using ac impedance analysis. The film is formed by an electrochemical reaction between the lithium electrode and the electrolyte, which consists of poly (ethylene oxide) and LiCF₃SO₃. Effects of the salt concentration in the electrolyte and temperature on the nature and conductivity of such films are described. Data obtained from the literature for equivalent systems was interpreted according to the proposed film formation mechanism. The rate-determining step in the dissolution or deposition process of the lithium may, in some cases, be defined by the interphase film.     

Size effects of the strength and elastic properties of individual phases and interphase boundaries of polycrystalline materials

Size effects of hardness are studied and numeric values of Young’s modulus E, hardness H, and fracture toughness coefficient K_c of individual phases and interphase boundaries of polycrystalline samples of ferruginous quartzite are determined by means of micro- and nanoindentation methods. It is found that the interphase boundary of magnetite and hematite is the one most strengthened, while the boundary of the hematite and quartz is the one least durable.     

Solar-assisted liquid metal MHD power generation: A state of the art study

The research and development of LMMHD energy conversion (EC) systems which started in the 1960s has already come a long way and is heading towards commercialization. Design and development of such systems has to deal with a number of questions relating to single- and two-phase flows of molten metals, including different patterns of two-phase flow, interphase, phenomena, heat transfer, performance of LMMHD components and compatibility of liquid metals with other fluids and with confinement materials. Liquid metal MHD (LMMHD) power conversion systems proposed many years ago are gaining increasing attention in their various proposed modes, consisting of single-phase or two-phase fluid flow for a wide range of heat sources, e.g. solar energy, waste heat, nuclear energy, etc.Liquid metal MHD (LMMHD) power systems have been recently proposed for direct electrical energy conversion of low grade thermal sources of energy, like solar energy. Solar-powered LMMHD power generation systems are very attractive regarding efficiency and cost per unit of installed power. Theoretical and experimental investigations carried out in the various aspects of these systems are presented. A state of the art review of activities in the solar-powered LMMHD power systems field which have taken place so far is described here.     

Physico-chemical characterization of the fibre/matrix interaction in polyethylene fibre/epoxy matrix composites

The interphase in polyethylene fibre/epoxy matrix composites is studied with FT-IR microspectroscopy using a set-up to investigate the matrix as close to the fibre as a few μm or less. It is shown that moisture present on the fibre surface is able to influence the polymerization reaction of the epoxy/anhydride matrix in an irreversible manner. This effect is enhanced for composites from the more hydrophilic polyvinylalcohol fibre. The fibre/matrix interaction in these thermoplastic fibre composites is also studied with DSC through the characterization of the fibre melting. A decreased 'DSC interaction parameter' is found if the composition of the interphase is changed by moisture. For a composite with an epoxy/amine matrix, on the other hand, the DSC interaction parameter is unaffected by moisture from the fibre surface.     

Fracture toughness of the epoxy/ATPEI-CTBN-ATPEI triblock copolymer/NMA blend system

The shortcoming of epoxy resin is the brittleness of this material though it shows excellent chemical, mechanical and electric properties. To improve fracture toughness of epoxy resin, rubbery materials that show high values in toughness but low values in glass transition temperature and mechanical properties, and thermoplastics that show high values in thermal and mechanical properties but relatively small increase in toughness were blended with epoxy. ATPEI-CTBN-ATPEI triblock copolymer, which consists of rubbery and thermoplastics blocks, was synthesized, and the triblock copolymer was blended with epoxy resin. The effects of parameters such as contents of the triblock copolymer, cure temperature, and contents of catalyst on the morphology of the blend systems were studied. From 30 wt% of the contents of the triblock copolymer, fracture toughness and impact energy absorption of the blend systems were increased significantly. This was due to the generation of nodular morphology in the system.     

Elliptic nanopores in deformed nanocrystalline and nanocomposite materials

A theoretical model is suggested which describes the nucleation of nanoscale pores (nanopores) of elliptic shape in deformed nanocrystalline and nanocomposite materials. In the framework of the model, elliptic nanopores in nanocrystalline and nanocomposite materials nucleate at interfaces in the stress fields of interfacial edge dislocations with large Burgers vectors. When elliptic nanopores nucleate, they remove the cores of interfacial dislocations. The stress field and energy of such dislocated elliptic nanopores are calculated, and their equilibrium sizes and shape parameters are revealed. It is theoretically shown that the elliptic shape of nanopores is due to the effects of interfaces (grain and interphase boundaries) on fracture processes at the nanoscale level.