Journal of Elasticity
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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......
Forced Radial Motions of Nonlinearly Viscoelastic Shells
Journal of Elasticity - Tập 96 - Trang 155-190 - 2009
This paper contains an extensive global treatment of radial motions of compressible nonlinearly viscoelastic cylindrical and spherical shells under time-dependent pressures. It furnishes a variety of conditions on a general class of material properties and on the pressure terms ensuring that there are solutions existing for all times, there are unbounded globally defined solutions, there are solut......
Finite Bending of a Rectangular Block of an Elastic Hencky Material
Journal of Elasticity - Tập 66 - Trang 237-256 - 2002
Hencky's elasticity model is an isotropic, finite hyperelastic equation obtained by simply replacing the Cauchy stress tensor and the infinitesimal strain tensor in the classical Hooke's law for isotropic infinitesimal elasticity with the Kirchhoff stress tensor and Hencky's logarithmic strain tensor. A study by Anand in 1979 and 1986 indicates that it is a realistic finite elasticity model that i......
On Inclusions at a Bi-Material Elastic Interface
Journal of Elasticity - Tập 54 - Trang 27-41 - 1999
Paper considers idealised problems relating to the axial stiffness of an anchor imbedded at the interface between dissimilar elastic halfspaces. The two halfspaces are bonded to each other in the region outside a circle. A thin rigid circular disc is embedded between the halfspaces and is bonded to one or both of them. The stiffness is obtained in closed form by the systematic application of Fouri......
Upper and lower bounds for the shear stress in the Saint-Venant theory of flexure
Journal of Elasticity - - 1976
Asymptotic Analysis of the Eversion of Nonlinearly Elastic Shells II. Incompressible Shells
Journal of Elasticity - - 2001
This paper treats the eversion of axisymmetric, strictly convex, incompressible nonlinearly elastic shells within a general geometrically exact theory in which the shell can suffer flexure, shear, and both midsurface and transverse extension. The governing equations differ considerably from those for compressible shells. We first formulate the governing equations carefully, showing how to handle t......
Two contact problems in anisotropic thermoelasticity
Journal of Elasticity - Tập 6 - Trang 137-147 - 1976
Some basic equations recently derived by Clements are used to consider two contact problems in anisotropic thermoelasticity. The first problem concerns the determination of the thermal stress in an anisotropic half-space due to a heated load over a section of the boundary. The second problem concerns the indentation of a half-space by a heated rigid punch. In particular, indentation by a cylindric......
Application of complex path-independent integrals to the solution of the problem of a straight crack in a finite plane isotropic elastic medium
Journal of Elasticity - Tập 16 - Trang 441-456 - 1986
The classical problem of a straight crack in a finite, plane, isotropic, elastic medium of arbitrary shape is reconsidered by the well-known method of Muskhelishvili for such a crack (but in an infinite medium). Both the crack and the boundary of the medium are assumed loaded in an arbitrary way. It is shown that this problem can be completely solved if the numerical values of the first complex po......
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