Green's functions for geophysics: a review

E Pan - Reports on Progress in Physics, 2019 - iopscience.iop.org
The Green's function (GF) method, which makes use of GFs, is an important and elegant tool
for solving a given boundary-value problem for the differential equation from a real …

Dislocation models of interfacial shearing induced by an approaching lattice glide dislocation

HJ Chu, J Wang, IJ Beyerlein, E Pan - International Journal of Plasticity, 2013 - Elsevier
When a lattice glide dislocation approaches a bi-metal interface with relatively low shear
strength, it causes the interface to shear. Interfacial shearing is accommodated by the …

Elastic fields of dislocation loops in three-dimensional anisotropic bimaterials

HJ Chu, E Pan, X Han, J Wang, IJ Beyerlein - Journal of the Mechanics and …, 2012 - Elsevier
By applying semi-analytical point-force Green's functions obtained via the Stroh formulism,
we derive simple line integrals to calculate the elastic displacement and stress fields for a …

Self-energy of elliptical dislocation loops in anisotropic crystals and its application for defect-free core/shell nanowires

HJ Chu, J Wang, CZ Zhou, IJ Beyerlein - Acta materialia, 2011 - Elsevier
In this work we investigate the self-energy of elliptical dislocation loops in anisotropic
crystals and determine the functional dependencies on loop circumference, shape, and …

Energy variation and stress fields of spherical inclusions with eigenstrain in three-dimensional anisotropic bi-materials

T Richeton - International Journal of Solids and Structures, 2024 - Elsevier
In this study, expressions for the interior stress fields of a spherical inclusion with uniform
eigenstrain embedded in an anisotropic bi-material featuring a planar interface are derived …

[HTML][HTML] Elastic fields due to dislocation arrays in anisotropic bimaterials

H Chu, E Pan - International Journal of Solids and Structures, 2014 - Elsevier
Based on the single-dislocation Green's function, analytical solutions of the elastic fields due
to dislocation arrays in an anisotropic bimaterial system are derived by virtue of the Cottrell …

Displacement fields and self-energies of circular and polygonal dislocation loops in homogeneous and layered anisotropic solids

Y Gao, BC Larson - Journal of the Mechanics and Physics of Solids, 2015 - Elsevier
There are large classes of materials problems that involve the solutions of stress,
displacement, and strain energy of dislocation loops in elastically anisotropic solids …

An analytical model for the critical shell thickness in core/shell nanowires based on crystallographic slip

HJ Chu, CZ Zhou, J Wang, IJ Beyerlein - … of the Mechanics and Physics of …, 2013 - Elsevier
Employing crystal plasticity theory and micromechanics inclusion theory, we developed a full-
strain relaxation model under isotropic assumption of materials properties to predict the …

Elastic fields of a core-spreading dislocation in anisotropic bimaterials

Y Zhang, J Liu, H Chu, J Wang - International Journal of Plasticity, 2016 - Elsevier
A dislocation at an interface especially at a weak shear interface spreads its core associated
with shearing the interface. Such core-spreading significantly reduces stress/strain …

[HTML][HTML] Responses of an anisotropic magnetoelectroelastic and layered half-space to internal forces and dislocations

YS Li, E Pan - International Journal of Solids and Structures, 2016 - Elsevier
Layered multiferroic heterostructures have applications in various mechanical and electronic
devices where the coupling among the mechanical, electric and magnetic fields provides …