A comparative study on propagation of elastic waves in random particulate composites

Rahimzadeh, Mohammad; Daneshjoo, Kamran

doi:10.1590/s1679-78252014000900005

Cited by 3 publications

(2 citation statements)

References 33 publications

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“…In addition, Kanaun and Levin (2007) used the effective field and medium approaches to derive the equations describing elastic wave scattering through such composites. Rahimzadeh and Daneshjoo (2014) conducted a comparative study on four different theoretical models for the prediction of propagation behavior of the elastic P-wave in composites reinforced by randomly distributed inclusions. Luppé et al (2017) studied the effects of the correlation among scatterers on the propagation of the average wave through a viscoelastic medium containing spherical or cylindrical inclusions.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Effective Dynamic Properties of Particulate Composites with Respect to Constituent Properties

Rahimzadeh

2022

Lat. Am. j. solids struct.

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The propagation of longitudinal and shear elastic waves through a multi-phase material was studied and the effective elastic properties of the medium were evaluated. The distribution of the reinforcing inclusions was considered random throughout the matrix. The effective dynamic properties of the composites, including their effective bulk and shear moduli and effective densities, were examined along with the effective phase velocity and attenuation of the incident P and S waves. The Sabina-Willis model was employed to study the wave propagation behavior, and the model performance was analyzed through comparison with experimental data from the literature. The results indicated that wave propagation significantly depended on the physical and mechanical properties of inclusions relative to those of the matrix and the normalized wave number of the propagated elastic wave. Moreover, despite the fact that the elastic properties of the incidence in the P and S waves exhibited a similar trend, their values differed significantly. The results can serve as a design criterion for composite materials under dynamic loading.

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Section: Introductionmentioning

confidence: 99%

Analysis of the Effective Dynamic Properties of Particulate Composites with Respect to Constituent Properties

Rahimzadeh

2022

Lat. Am. j. solids struct.

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“…For very simple cases the propagation of seismic waves can be described analytically [28,1,2,10]. For more complex cases, seismic waves with a significantly smaller or larger wave length than the characteristic size of the obstacle can be approximated by ray tracing methods [13] or effective medium methods [24,44,37], respectively. However, we are interested in the scattered wave patterns when the wavelengths of the propagating waves and the characteristic size of heterogeneities are comparable and here numerical methods become essential.…”

Section: Introductionmentioning

confidence: 99%

Insight into the modeling of seismic waves for detection of underground cavities

Esterhazy,

Schneider,

Mazzieri

et al. 2017

Preprint

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Motivated by the need to detect an underground cavity within the procedure of an On-Site-Inspection (OSI), of the Comprehensive Nuclear Test Ban Treaty Organization, the aim of this paper is to present results on the comparison of our numerical simulations with an analytic solution. The accurate numerical modeling can facilitate the development of proper analysis techniques to detect the remnants of an underground nuclear test. The larger goal is to help set a rigorous scientific base of OSI and to contribute to bringing the Treaty into force. For our 3D numerical simulations, we use the discontinuous Galerkin Spectral Element Code SPEED jointly developed at MOX

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A simple model for elastic wave propagation in hard sphere-filled random composites

2022

The Journal of the Acoustical Society of America

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A simple model is proposed to study wave propagation in hard sphere-reinforced elastic random composites. Compared to existing related models, the proposed model is featured by a modified form of classical elastodynamic equations in which the inertia term is substituted by the acceleration field of the mass centre of a representative unit cell, supplied with a derived simple differential relation between the displacement field of the composite and the displacement field of the mass centre of a representative unit cell. The present model enjoys conceptual and mathematical simplicity although it is restricted to hard sphere-filled elastic composites in which the elastic moduli of embedded spheres are much (at least 4–5 times) stiffer than those of a softer matrix. Explicit formulas are derived for the attenuation coefficient and the effective phase velocity of plane longitudinal P-waves and transverse S-waves. The efficiency and reasonable accuracy of the present model are demonstrated by reasonably good agreement between the predicted results and some established known data. The proposed model could offer a potential general method to study various three-dimensional dynamic problems of hard sphere-filled elastic random composites.

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A comparative study on propagation of elastic waves in random particulate composites

Cited by 3 publications

References 33 publications

Analysis of the Effective Dynamic Properties of Particulate Composites with Respect to Constituent Properties

Analysis of the Effective Dynamic Properties of Particulate Composites with Respect to Constituent Properties

Insight into the modeling of seismic waves for detection of underground cavities

A simple model for elastic wave propagation in hard sphere-filled random composites

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