Journal of Elasticity
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The elastic field near a point of a transition from frictional contact to frictionless contact
Journal of Elasticity - Tập 14 - Trang 155-161 - 1984
The asymptotic nature of the elastic field is studied at the point of transition
from frictional contact to frictionless contact between two different elastic
bodies. The nature depends on the direction of slip, and the singular stress
field appears when the body with smaller μ/(κ−1) (μ: the shear modulus, κ=3−4ν,
ν: Poisson's ratio) slips towards the region of frictional contact, while no
singula...
Theory and Implementation of Coupled Port-Hamiltonian Continuum and Lumped Parameter Models
Journal of Elasticity - Tập 145 - Trang 339-382 - 2021
A continuous Galerkin finite element method that allows mixed boundary
conditions without the need for Lagrange multipliers or user-defined parameters
is developed. A mixed coupling of Lagrange and Raviart-Thomas basis functions
are used. The method is proven to have a Hamiltonian-conserving spatial
discretisation and a symplectic time discretisation. The energy residual is
therefore guaranteed to...
Explicit Analytic Solution for the Plane Elastostatic Problem with a Rigid Inclusion of Arbitrary Shape Subject to Arbitrary Far-Field Loadings
Journal of Elasticity - Tập 144 - Trang 81-105 - 2021
We provide an analytical solution for the elastic fields in a two-dimensional
unbounded isotropic body with a rigid inclusion. Our analysis is based on the
boundary integral formulation of the elastostatic problem and geometric function
theory. Specifically, we use the coordinate system provided by the exterior
conformal mapping of the inclusion to define a density basis functions on the
boundary ...
A Naghdi Type Nonlinear Model for Shells with Little Regularity
Journal of Elasticity - Tập 142 Số 2 - Trang 447-494 - 2020
In this paper a new nonlinear two-dimensional shell model of Naghdi’s type is
formulated for shells which middle surface is parameterized by a $W^{1, \infty}$
function. Therefore the model inherently contains undeformed geometries with
corners, so the model also includes models of junctions of nonlinear shells.
Deformation of the shell is described by a pair $(\boldsymbol{\psi},
{\mathbf{R}})$ of ...
The Discrete Cosserat Eigenfunctions for a Spherical Shell
Journal of Elasticity - - 1998
The Papkovich-Neuber potential method is applied to obtain the discrete Cosserat
eigenvalues and eigenvectors for the boundary value problems of displacement and
traction for a spherical shell. The eigenvalues presented herein correct those
obtained by the Cosserats.
The Curious Case of 2D Isotropic Incompressible Neo-Hookean Composites
Journal of Elasticity - Tập 151 Số 1 - Trang 177-186 - 2022
Representation of Hashin–Shtrikman Bounds in Terms of Texture Coefficients for Arbitrarily Anisotropic Polycrystalline Materials
Journal of Elasticity - Tập 134 Số 1 - Trang 1-38 - 2019
Dynamic analysis of non-symmetric problems for frictionless indentation and plane crack extension
Journal of Elasticity - Tập 8 - Trang 273-283 - 1978
Two-dimensional dynamic analyses of contact and stress loading problems
associated with non-symmetric frictionless rigid indentation and plane crack
extension under normal stress are presented. The extension rates of the contact
strip/crack surfaces are assumed to be constant and sub-critical. Homogeneous
function techniques are used to derive general mathematical solutions which are
then fitted t...
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