A boundary-element analysis of crack problems in multilayered elastic media: a review

L Lan, J Zhou, W Xu, G Long, B Xiao, G Xu - Mathematics, 2023 - mdpi.com
Crack problems in multilayered elastic media have attracted extensive attention for years
due to their wide applications in both a theoretical analysis and practical industry. The …

The consistent boundary element method for potential and elasticity: Part I—Formulation and convergence theorem

NA Dumont - Engineering Analysis with Boundary Elements, 2023 - Elsevier
The collocation boundary element method is outlined for the general three-dimensional,
static case of elasticity on the basis of a weighted-residuals statement that leads to the …

The consistent boundary element method for potential and elasticity: Part III—Topologically challenging numerical assessments for 2D problems

NA Dumont - Engineering Analysis with Boundary Elements, 2023 - Elsevier
The collocation boundary element method is consistently outlined in a companion (Part I)
paper for the general three-dimensional, static case of elasticity on the basis of a weighted …

Matrix Green's function solution of closed-form singularity for functionally graded and transversely isotropic materials under circular ring force vector

S Xiao, ZQ Yue - Engineering Analysis with Boundary Elements, 2023 - Elsevier
The paper develops the Green's function solution in matrix form for functionally graded and
transversely isotropic material (FGTIM) due to the loading of a circular ring force vector. The …

The consistent boundary element method for potential and elasticity: Part II—machine-precision numerical evaluations for 2D problems

NA Dumont - Engineering Analysis with Boundary Elements, 2023 - Elsevier
The collocation boundary element method is outlined in a first companion paper for the
general three-dimensional, static case of elasticity. This is done in a consistent way that …

Mindlin's problem for an incompressible elastic half-space with an exponential variation in the linear elastic shear modulus

APS Selvadurai, A Katebi - International Journal of Engineering Science, 2013 - Elsevier
This paper examines the axisymmetric problem of the internal loading of an incompressible
elastic half-space where the linear elastic shear modulus varies exponentially with depth …

An adhesive contact problem for an incompressible non-homogeneous elastic halfspace

APS Selvadurai, A Katebi - Acta Mechanica, 2015 - Springer
In this paper, we examine the axisymmetric adhesive contact problem for a rigid circular
plate and an incompressible elastic halfspace where the linear elastic shear modulus varies …

Axisymmetric BEM analysis of one-layered transversely isotropic halfspace with cavity subject to external loads

S Xiao, ZQ Yue - Engineering Analysis with Boundary Elements, 2020 - Elsevier
This paper presents an axisymmetric boundary element analysis of one-layered transversely
isotropic material of halfspace extent with either ellipsoidal or spherical cavity. This analysis …

Undrained behaviour of a non-homogeneous elastic medium: the influence of variations in the elastic shear modulus with depth

A Katebi, APS Selvadurai - Géotechnique, 2013 - icevirtuallibrary.com
This paper examines the axisymmetric interior loading problem for an incompressible
isotropic elastic half-space where the linear elastic shear modulus varies with depth. In …

Boundary element formulation of axisymmetric problems in vertically non-homogeneous solids subject to normal traction

S Xiao, ZQ Yue - Engineering Analysis with Boundary Elements, 2020 - Elsevier
This paper presents an efficient and accurate boundary element method (BEM) for the
elastic analysis of axisymmetric problems in vertically non-homogeneous solids without or …