Fracture mechanics of unidirectional fibrous composites with metal matrix under compression

Two different approaches are used to evaluate the critical loads of the unidirectional fiber composites. They are based on the three-dimensional linearized elasticity theory. The constituents of the composite are assumed to have elastoplastic behavior. In the first approach, the composite is assumed to be homogeneous and orthotropic at the continuum level while the second approach assumes piecewise homogeneity where the fiber and matrix interaction at the interfaces are accounted for. For different ratios of the fiber and matrix moduli, critical loads and deformations are obtained and compared with experimental values.     

Developing a Compressive Failure Theory for Nanocomposites

The paper addresses a compressive-failure theory for polymer-matrix nanocomposites in the case where failure onset is due to microbuckling. Two approaches based on the three-dimensional linearized theory of stability of deformable bodies are applied to laminated and fibrous nanocomposites. According to the first approach (continuum compressive-failure theory), nanocomposites are modeled by a homogeneous anisotropic medium with effective constants, including microstructural parameters. The second approach uses the piecewise-homogeneous model, three-dimensional relations for fibers (CNT) and matrix, and continuity conditions at the fiber-matrix interface. The compressive-failure theory is used to solve specific problems for laminated and fibrous nanocomposites. Some approximate failure theories based on the one- and two-dimensional applied theories of stability of rods, plates, and shells are analyzed__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 3, pp. 3–37, March 2005.     

Comparing the Evolution Characteristics of Waves in Nonlinearly Elastic Micro- and Nanocomposites with Carbon Fillers

A method is proposed for studying the evolution of plane waves in micro- and nanocomposite materials. This method permits comparing the evolutions of harmonic waves and produces results that are in agreement with data obtained earlier and with the metaphysical reasoning on the nanomechanics of composite materials     

On the determination of loads upon the ground support in underground mine workings

The piecewise-homogeneous model and the three-dimensional linearized theory of stability for small subcritical strains are used to study the surface instability of a regularly layered rock mass under biaxial loading. A plane problem is formulated. Basic characteristic equations are derived. A specific problem is solved as an example to demonstrate the selection of loads and the interaction of support elements with the wall rock __________ Translated from Prikladnaya Mekhanika, Vol. 41, No. 11, pp. 38–46, November 2005.     

Three-dimensional theory of stability of a carbon nanotube in a matrix

The three-dimensional theory of stability of a carbon nanotube (CNT) in a polymer matrix is presented. The results are obtained on the basis of the three-dimensional linearized theory of stability of deformable bodies. Flexural and helical (torsional) buckling modes are considered. It is proved that the helical (torsional) buckling modes occur in a single CNT (the interaction of neighboring CNTs is neglected) and do not occur in nanocomposites (the interaction of neighboring CNTs is taken into account) __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 1, pp. 23–37, January 2006.     

Elastic waves in prestressed bodies interacting with a fluid (survey)

Conclusion The above survey of different studies and analysis of results obtained widiin the framework of linearized three-dimensional theory show that use of the given model makes it possible to account for fluid viscosity and initial stresses in elastic bodies. Both of these factors play a significant role in actual media. The model also permits determination of the effect of fluid viscosity and initial stresses on the wave processes in hydroelastic systems. The use of an approach based on representations of general solutions of linearized problems of aerohydroelasticity for bodies with uniform initial strains and a compressible viscous fluid makes it possible to obtain dispersion relations in a general form diat is invariant relative to different types of elastic potential and valid for arbitrary compressible and incompressible materials. The approach also allows researchers to study the main classes of problems encountered in practice, conduct numerical experiments, and use the results to find new properties, laws, and mechanical effects that are characteristic of the investigated wave processes and reflect the mutual effects of the fields of initial and dynamic stresses, as well as the interaction of elastic bodies with viscous fluids. Translated from Prikladnaya Mekhanika, Vol. 33, No. 6, pp. 3–39, June, 1997.     

On Two-Scale Model of Fracture Mesomechanics of Composites with Cracks under Compression

A two-level fracture model of composites with cracks under compression is proposed. Fiber-reinforced laminated panels with a hole are considered. The panels are compressed along the fibers so that two cracks propagate from the hole boundary at a right angle to the loading direction. The fracture mechanism is analyzed at two levels. The first level is the compression-induced stress concentration at the tip of a finite-thickness crack filled with a fractured material. At this level, the theory of elasticity of linear orthotropic body is used. The second level is compression fracture at the crack tip. The analysis performed at this level involves the three-dimensional linearized theory of stability of solids, considering microcracks in the interface between the fractured and intact materials, and the exact solution describing the compression-induced instability of the cracked interface. The second level is where results obtained by the author are used. Thus, the approach proposed employs the theory of elasticity of linear orthotropic body and the three-dimensional linearized theory of stability of solids to analyze a specific mechanism of fracture__________Published in Prikladnaya Mekhanika, Vol. 41, No. 5, pp. 141–144, May 2005Reported at ICF-11 (Turin, Italy, March 20–25, 2005). The ICF-11 proceedings have been published on CD-ROM. The author ‘s other reports presented at ICF-6 (1984) to ICF-10 (2001) are listed in Appendix.     

Wireless Information Transmission System Powered by an Abiotic Biofuel Cell Implanted in an Orange

An “abiotic” biofuel cell composed of catalytic electrodes modified with inorganic nanoparticles (NPs) deposited on carbon black (CB) was used to activate a wireless information transmission system. The cathode and anode were made of carbon paper modified with Pt‐NPs/CB and buckypaper modified with Au₈₀Pt₂₀‐NPs/CB, respectively. The cathode/anode pair was implanted in orange pulp extracting power from its content (glucose and fructose in the juice). The open circuit voltage, V_oc, short circuit current density, j_sc, and maximum power produced by the biofuel cell, P_max, were found as 0.36 V, 1.3 mA cm^?2 and 182 µW, respectively. The voltage produced by the biofuel cell was amplified with an energy harvesting circuit and applied to a wireless transmitter. The present study continues the research line where different implantable biofuel cells are used for activation of electronic devices.     

Semi-analytical modelling of cracks with interacting faces in isotropic materials under harmonic load

The present work is devoted to the investigation of the contact interaction of the faces of cracks located in the homogeneous, isotropic, linearly elastic 3-D medium under a harmonic loading. The Signorini contact constraints are imposed and the friction is governed by the Coulomb law. The problem is solved by the method of the boundary integral equations with the use of the iterative procedure. The dependence of the stress intensity factors on the friction coefficient and parameters of the incident wave parameters (frequency, angle of incidence, etc.) is studied. Numerical results are compared with those obtained without allowance for the contact interaction. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)