TITLE

Fracture toughness of nanostructured silicon carbide

AUTHOR(S)
Ippolito, M.; Mattoni, A.; Colombo, L.; Cleri, F.
PUB. DATE
October 2005
SOURCE
Applied Physics Letters;10/3/2005, Vol. 87 Issue 14, p141912
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
By using atomistic simulations, we derive a constitutive equation for a microfractured β-SiC matrix containing hard or soft inclusions. The proposed equation is shown to follow the Eshelby theory for elastic inclusions, and appears to hold for any crack tip-inclusion distance and for a wide range of values of matrix-inclusion elastic mismatch. A comparison of the atomistic results with existing continuum elasticity models points out the weaknesses of some commonly adopted simplifying assumptions.
ACCESSION #
18856840

 

Related Articles

  • Eshelby's formula for an ellipsoidal elastic inclusion in anisotropic poroelasticity and thermoelasticity. Levin, Valery M.; Alvarez-Tostado, Juan M. // International Journal of Fracture;Mar2003, Vol. 119 Issue 4, pL79 

    Eshelby's formula that relates the strain inside of an ellipsoidal inclusion in an unbounded elastic medium to the uniform strain imposed at infinity is generalized to the cases of poroelastic and thermoelastic materials. This result holds for an arbitrary anisotropy of the inclusion and of the...

  • Growth of slip surfaces and line inclusions along shear bands in a softening material. Dal Corso, F.; Bigoni, D. // International Journal of Fracture;Nov2010, Vol. 166 Issue 1/2, p225 

    perturbative approach applied to prestressed elastic solids exhibiting strain softening (of the true-stress/true-strain response) provides an explanation to the common observation that shear bands formed within ductile and quasi-brittle materials tend to grow rectilinearly under Mode II and that...

  • Stress solutions to the three-dimensional problem of elasticity. Borodachev, N. // International Applied Mechanics;Aug2006, Vol. 42 Issue 8, p849 

    New representations of the stress tensor in the linear theory of elasticity and thermoelasticity are proposed. These representations satisfy the equilibrium equations and the strain compatibility equation. The stress tensor is expressed in terms of a harmonic tensor or a harmonic vector. The...

  • Stress Trajectories for Mode I and Mode II Cracks. Weertman, Johannes // International Journal of Fracture;Jan2006, Vol. 137 Issue 1-4, p251 

    Maximum shear stress trajectories are obtained for the mode I and for the mode II crack in an isotropic elastic solid in plane strain.

  • Elastic and inelastic properties of SiC/Si biomorphic composites and biomorphic SiC based on oak and eucalyptus. Kardashev, B. K.; Nefagin, A. S.; Smirnov, B. I.; Arellano-Lopez, A. R.; Martinez-Fernandez, J.; Sepulveda, R. // Physics of the Solid State;Sep2006, Vol. 48 Issue 9, p1711 

    This paper reports on the results of a comparative investigation into the elastic and microplastic properties of biomorphic SiC/Si composites and biomorphic SiC prepared by pyrolysis of oak and eucalyptus with subsequent infiltration of molten silicon into a carbon matrix and additional chemical...

  • Ab initio DFT study of ideal shear strength of polytypes of silicon carbide. Umeno, Y.; Kinoshita, Y.; Kitamura, T. // Strength of Materials;Jan2008, Vol. 40 Issue 1, p2 

    Ab initio density functional calculations are performed to investigate the ideal shear deformation of SiC polytypes (3C, 2H, 4H, and 6H). The deformation of the cubic and the hexagonal polytypes in small strain region can be well represented by the elastic properties of component...

  • Effects of high-order surface stress on buckling and resonance behavior of nanowires. Chiu, Min-Sen; Chen, Tungyang // Acta Mechanica;Jul2012, Vol. 223 Issue 7, p1473 

    A theoretical framework, accounting for high-order surface stress, is implemented in a continuum mechanics model based on the Euler-Bernoulli theory of beams and columns to simulate the buckling and resonance behavior of nanowires (NWs). Closed-form expressions for the critical buckling load of...

  • Dispersion of dilatation wave propagation in single-wall carbon nanotubes using nonlocal scale effects. Selim, M. // Journal of Nanoparticle Research;Mar2011, Vol. 13 Issue 3, p1229 

    Nonlocal continuum mechanics allows one to account for the small length scale effect that becomes significant when dealing with micro- or nano-structures. This paper investigates a model of wave propagation in single-wall carbon nanotubes (SWCNTs) with small scale effects are studied. The...

  • Equations of the Dynamic Problem of Thermoelasticity in Stresses in a Three-Orthogonal Coordinate System. Musii, R.; Stasyuk, H. // Materials Science;Jan2005, Vol. 41 Issue 1, p74 

    By using the system of source equations including the equations of motion, Cauchy relations, generalized Hooke’s law, and Saint-Venant compatibility equations for strains, we deduce the system of defining equations for the dynamic problem of thermoelasticity in stresses in an arbitrary...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics