Micromechanics of Materials, with Applications

Kachanov, Mark; Sevostianov, Igor

doi:10.1007/978-3-319-76204-3

Cited by 118 publications

(120 citation statements)

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“…Let us now compare the results obtained in (5.1) and (5.2) with those available for oblate and prolate spheroidal insulating inhomogeneities of the aspect ratio  = b s /a s (see, for example, Kachanov and Sevostianov, 2018), where a s is the radius of the spheroid and b s is the semi-axis of the spheroid along the z-axis, namely , ,…”

Section: Approximation By Spheroidal Pores or Insulatorsmentioning

confidence: 96%

“…This unrealistic assumption is largely responsible for insufficient linkage between methods of micromechanics and materials science applications. The reason for this lack is quite obvious: while for 2-D non-elliptical inhomogeneities many analytical and numerical results have been obtained, only a limited number of numerical results and approximate estimates are available for non-ellipsoidal 3-D shapes (see discussion in the book of Kachanov and Sevostianov, 2018). Among exact analytical results for effects of non-ellipsoidal inhomogeneities, we can only mention those of Kachanov and Sevostianov (2012) (effect of cracks growing from pores and cracks with partial contact between the faces on the overall elastic compliance), Radi and Sevostianov (2016) (effect of a toroidal inhomogeneity on the effective conductive properties), Argatov and Sevostianov (2011) and Krasnitskii et al (2019) (effects of thin or arbitrary, respectively, rigid tori on the overall elastic properties).…”

Section: Introductionmentioning

confidence: 99%

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Effect of spherical pores coalescence on the overall conductivity of a material.

Lanzoni

Radi

Sevostianov

2020

Mechanics of Materials

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The problem about steady-state temperature distribution in a homogeneous isotropic medium containing a pore or an insulating inhomogeneity formed by two coalesced spheres of the same radius, under arbitrarily oriented uniform heat flux, is solved analytically. The limiting case of two touching spheres is analyzed separately. The solution is obtained in the form of converged integrals that can be calculated using Gauss-Laguerre quadrature rule. The temperature on the inhomogeneity's surface is used to determine components of the resistivity contribution tensor for the insulating inhomogeneity of the mentioned shape. An interesting observation is that the extreme values of these components are achieved when the spheres are already slightly coalesced.

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Section: Approximation By Spheroidal Pores or Insulatorsmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Effect of spherical pores coalescence on the overall conductivity of a material.

Lanzoni

Radi

Sevostianov

2020

Mechanics of Materials

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“…In case of IMs, the global (averaged) values of the elastic constants (E and m) were calculated based on nanoindentation results, [35] while the global value of the CTE was calculated based on literature results of high temperature X-ray diffraction experiments. [36] The components of tensor P for a spheroidal inhomogeneity [45] are given in the Appendix. Eigenstrains in inhomogeneities of i-th phase were calculated as the product of an effective temperature change and the difference in thermal expansion coefficients between the inhomogeneities and the matrix.…”

Section: Micromechanical Modelingmentioning

confidence: 99%

Explaining Deviatoric Residual Stresses in Aluminum Matrix Composites with Complex Microstructure

Evsevleev

Sevostianov

Mishurova

et al. 2020

Metall Mater Trans A

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The residual stresses in multiphase metal matrix composites with both random planar-oriented short fibers and particles were studied by neutron diffraction and by a model based on the reformulation of classic Maxwell's homogenization method. Contrary to common understanding and state-of-the-art models, we experimentally observed that randomly oriented phases possess non-hydrostatic residual stress. The recently developed modeling approach allows calculating the residual stress in all phases of the composites. It rationalizes the presence of deviatoric stresses accounting for the interaction of random oriented phases with fibers having preferential orientation.

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“…CC BY 4.0 License. that the islands of contacts inside a crack significantly reduce crack compliance (a crack with contact areas is stiffer compared to the same crack but without contacts (Trofimov et al, 2017;Kachanov and Sevostianov, 2018;Markov et al, 2019;Lissa et al, 2019)). Comparing eq.…”

Section: Dry Stiffness Modulimentioning

confidence: 99%

Azimuth-, angle- and frequency-dependent seismic velocities of cracked rocks due to squirt flow

Alkhimenkov¹,

Caspari²,

Lissa³

et al. 2019

Preprint

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Abstract. Understanding the properties of cracked rocks is of great importance in scenarios involving CO2 geological sequestration, nuclear waste disposal, geothermal energy, and hydrocarbon exploration and production. Developing non-invasive detecting and monitoring methods for such geological formations is crucial. Many studies show that seismic waves exhibit strong dispersion and attenuation across a broad frequency range due to fluid flow at the pore scale known as squirt flow. Nevertheless, how and to what extent squirt flow affects seismic waves is still a matter of investigation. To fully understand its angle- and frequency-dependent behavior for specific geometries appropriate numerical simulations are needed. We perform a three-dimensional numerical study of the fluid-solid deformation at the pore scale based on coupled Lame-Navier and Navier-Stokes linear quasistatic equations. We show that seismic wave velocities exhibit strong azimuth-, angle- and frequency-dependent behavior due to squirt flow between interconnected cracks. We show that the overall anisotropy of a medium mainly increases due to squirt flow but in some specific planes the anisotropy can locally decrease. We analyze the Thomsen-type anisotropic parameters and adopt another scalar parameter which can be used to measure the anisotropy strength of a model with any elastic symmetry. This work significantly clarifies the impact of squirt flow on seismic wave anisotropy in three dimensions and can potentially be used to improve the geophysical monitoring and surveying of fluid-filled cracked porous zones in the subsurface.

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Micromechanics of Materials, with Applications

Cited by 118 publications

References 0 publications

Effect of spherical pores coalescence on the overall conductivity of a material.

Effect of spherical pores coalescence on the overall conductivity of a material.

Explaining Deviatoric Residual Stresses in Aluminum Matrix Composites with Complex Microstructure

Azimuth-, angle- and frequency-dependent seismic velocities of cracked rocks due to squirt flow

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