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 …

Complete boundary element formulation for normal and tangential contact problems

R Pohrt, Q Li - Physical Mesomechanics, 2014 - Springer
The boundary element method as a numerical tool in contact mechanics is widely used and
allows for surface roughness to be investigated with very fine grids. However, for every two …

Contact. engineering—Create, analyze and publish digital surface twins from topography measurements across many scales

MC Röttger, A Sanner, LA Thimons… - Surface Topography …, 2022 - iopscience.iop.org
The optimization of surface finish to improve performance, such as adhesion, friction, wear,
fatigue life, or interfacial transport, occurs largely through trial and error, despite significant …

Fully coupled frictional contact using elastic halfspace theory

K Willner - 2008 - asmedigitalcollection.asme.org
The effect of dry metallic friction can be attributed to two major mechanisms: adhesion and
ploughing. While ploughing is related to severe wear and degradation, adhesion can be …

A semi-analytical approach to three-dimensional normal contact problems with friction

J Li, EJ Berger - Computational Mechanics, 2003 - Springer
We present a semi-analytical approach for three-dimensional elastostatic normal contact
problems with friction. The numerical approach to iteration on contact area and stick zone …

Extending the BEM for elastic contact problems beyond the half-space approach

J Zhao, EAH Vollebregt… - … Modelling and Analysis, 2016 - Taylor & Francis
The boundary element method (BEM) is widely used in fast numerical solvers for
concentrated elastic contact problems arising from the wheel-rail contact in the railway …

A fast correction for elastic quarter-space applied to 3D modeling of edge contact problems

R Guilbault - 2011 - asmedigitalcollection.asme.org
Applying the Hertz theory to some non-Hertzian contact problems can produce acceptable
results. Nevertheless, including the influence of free surfaces requires numerical methods …

A general approach to the solution of Boussinesq's problem for polynomial pressures acting over polygonal domains

F Marmo, L Rosati - Journal of Elasticity, 2016 - Springer
We outline a general approach for extending the classical Boussinesq's solution to the case
of pressures distributed according to a polynomial law of arbitrary order over a polygonal …

Analytical solution of the Cerruti problem under linearly distributed horizontal loads over polygonal domains

F Marmo, S Sessa, L Rosati - Journal of Elasticity, 2016 - Springer
The classical Cerruti problem of an isotropic homogeneous half-space subject to a
concentrated load tangential to its surface is extended to cope with linear distributions of …

Scale-and load-dependent friction in commensurate sphere-on-flat contacts

TA Sharp, L Pastewka, VL Lignères, MO Robbins - Physical Review B, 2017 - APS
Contact of a spherical tip with a flat elastic substrate is simulated with a Green's-function
method that includes atomic structure at the interface while capturing elastic deformation in a …