A review of recent works on inclusions

K Zhou, HJ Hoh, X Wang, LM Keer, JHL Pang… - Mechanics of …, 2013 - Elsevier
The study of inclusions is of significance to the development of advanced materials for
aerospace, marine, automotive and many other applications. This is because the presence …

The Eshelby, Hill, moment and concentration tensors for ellipsoidal inhomogeneities in the Newtonian potential problem and linear elastostatics

WJ Parnell - Journal of Elasticity, 2016 - Springer
One of the most cited papers in Applied Mechanics is the work of Eshelby from 1957 who
showed that a homogeneous isotropic ellipsoidal inhomogeneity embedded in an …

Fracture behaviors of piezoelectric materials

TY Zhang, CF Gao - Theoretical and applied fracture mechanics, 2004 - Elsevier
Theoretical analyses and experimental observations of the failure and fracture behaviors of
piezoelectric materials are presented. The theoretical analyses are based on the Stroh …

[HTML][HTML] Homogenized enriched continuum analysis of acoustic metamaterials with negative stiffness and double negative effects

A Sridhar, L Liu, VG Kouznetsova… - Journal of the Mechanics …, 2018 - Elsevier
This paper demonstrates the application of a recently developed enriched micro-inertial
continuum based homogenization framework towards numerical dispersion and boundary …

Solution of Eshelby's inclusion problem with a bounded domain and Eshelby's tensor for a spherical inclusion in a finite spherical matrix based on a simplified strain …

XL Gao, HM Ma - Journal of the Mechanics and Physics of Solids, 2010 - Elsevier
A solution for Eshelby's inclusion problem of a finite homogeneous isotropic elastic body
containing an inclusion prescribed with a uniform eigenstrain and a uniform eigenstrain …

Ellipsoidal inclusions in flexoelectric solids

J Xie, C Linder - Journal of Applied Mechanics, 2024 - asmedigitalcollection.asme.org
The flexoelectric effect, characterized by the induction of electric polarization by strain
gradients, exhibits a remarkable size dependence. This makes flexoelectricity highly …

Micromechanical modeling of the anisotropic thermal conductivity of ellipsoidal inclusion-reinforced composite materials with weakly conducting interfaces

N Bonfoh, C Dreistadt, H Sabar - International Journal of Heat and Mass …, 2017 - Elsevier
The present paper deals with the micromechanical modeling of the effective thermal
conductivity of composite materials containing ellipsoidal inclusions with interfaces thermal …

Strain gradient solution for Eshelby's ellipsoidal inclusion problem

XL Gao, HM Ma - Proceedings of the Royal Society A …, 2010 - royalsocietypublishing.org
Eshelby's problem of an ellipsoidal inclusion embedded in an infinite homogeneous
isotropic elastic material and prescribed with a uniform eigenstrain and a uniform …

A new homogenization method based on a simplified strain gradient elasticity theory

HM Ma, XL Gao - Acta Mechanica, 2014 - Springer
Homogenization methods utilizing classical elasticity-based Eshelby tensors cannot capture
the particle size effect experimentally observed in particle–matrix composites at the micron …

Viscous inclusions in anisotropic materials: Theoretical development and perspective applications

D Jiang - Tectonophysics, 2016 - Elsevier
Theories and numerical solutions for a viscous ellipsoid in an infinite anisotropic viscous
medium subjected to far-field homogeneous deformation lie at the heart of self-consistent …