The elastic field near a point of a transition from frictional contact to frictionless contactJournal of Elasticity - Tập 14 - Trang 155-161 - 1984
K. Hayashi, H. Abé
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...... hiện toàn bộ
Theory and Implementation of Coupled Port-Hamiltonian Continuum and Lumped Parameter ModelsJournal of Elasticity - Tập 145 - Trang 339-382 - 2021
Finbar J. Argus, Chris P. Bradley, Peter J. Hunter
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...... hiện toàn bộ
A Naghdi Type Nonlinear Model for Shells with Little RegularityJournal of Elasticity - Tập 142 Số 2 - Trang 447-494 - 2020
Ljulj, Matko, Tambača, Josip
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 ...... hiện toàn bộ
The Discrete Cosserat Eigenfunctions for a Spherical ShellJournal of Elasticity - - 1998
Wensen Liu, Xanthippi Markenscoff
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.
Dynamic analysis of non-symmetric problems for frictionless indentation and plane crack extensionJournal of Elasticity - Tập 8 - Trang 273-283 - 1978
L. M. Brock
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...... hiện toàn bộ