Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Subject "Elasticity"
Now showing items 1-20 of 23
-
Article
Continuum model for the phase behavior, microstructure, and rheology of unentangled polymer nanocomposite melts
(2014)We introduce a continuum model for polymer melts filled with nanoparticles capable of describing in a unified and self-consistent way their microstructure, phase behavior, and rheology in both the linear and nonlinear ...
-
Article
Efficient MFS algorithms for problems in thermoelasticity
(2013)We propose efficient fast Fourier transform (FFT)-based algorithms using the method of fundamental solutions (MFS) for the numerical solution of certain problems in planar thermoelasticity. In particular, we consider ...
-
Article
Finite Difference Schemes for the Cauchy–Navier Equations of Elasticity with Variable Coefficients
(2015)We solve the variable coefficient Cauchy–Navier equations of elasticity in the unit square, for Dirichlet and Dirichlet-Neumann boundary conditions, using second order finite difference schemes. The resulting linear systems ...
-
Article
A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains
(2015)We employ a Kansa-radial basis function (RBF) method for the numerical solution of elliptic boundary value problems in annular domains. This discretization leads, with an appropriate selection of collocation points and for ...
-
Article
Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains
(2007)In this work, we propose an efficient matrix decomposition algorithm for the Method of Fundamental Solutions when applied to three-dimensional boundary value problems governed by elliptic systems of partial differential ...
-
Article
Mechanism for extrusion instabilities in polymer melts
(1999)A mechanism for explaining some of the instabilities observed during the extrusion of polymer melts is further explored. This is based on the combination of non-monotonic slip and elasticity, which permits the existence ...
-
Article
The method of fundamental solutions for axisymmetric acoustic scattering and radiation problems
(1998)The method of fundamental solutions (MFS) is applied to acoustic scattering and radiation for axisymmetric bodies and boundary conditions. The fundamental solution of the governing equation and its normal derivative, which ...
-
Article
Method of Fundamental Solutions for axisymmetric elasticity problems
(2000)We investigate the use of the Method of Fundamental Solutions (MFS) for the approximate solution of certain problems of three-dimensional elastostatics in isotropic materials. Specifically, we consider problems in which ...
-
Article
The method of fundamental solutions for layered elastic materials
(2001)In this paper, we investigate the application of the method of fundamental solutions to two-dimensional elasticity problems in isotropic and anisotropic single materials and bimaterials. A domain decomposition technique ...
-
Article
The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data
(2017)An inverse problem in static thermo-elasticity is investigated. The aim is to reconstruct the unspecified boundary data, as well as the temperature and displacement inside a body from over-specified boundary data measured ...
-
Article
The method of fundamental solutions for the detection of rigid inclusions and cavities in plane linear elastic bodies
(2012)We investigate the numerical reconstruction of smooth star-shaped voids (rigid inclusions and cavities) which are compactly contained in a two-dimensional isotropic linear elastic body from a single non-destructive measurement ...
-
Article
The method of fundamental solutions for three-dimensional elastostatics problems
(2002)We consider the application of the method of fundamental solutions to isotropic elastostatics problems in three space dimensions. The displacements are approximated by linear combinations of the fundamental solutions of ...
-
Article
The method of fundamental solutions for three-dimensional inverse geometric elasticity problems
(2016)We investigate the numerical reconstruction of smooth star-shaped voids (rigid inclusions and cavities) which are compactly contained in a three-dimensional isotropic linear elastic medium from a single set of Cauchy data ...
-
Article
The MFS for the Cauchy problem in two-dimensional steady-state linear thermoelasticity
(2013)We study the reconstruction of the missing thermal and mechanical fields on an inaccessible part of the boundary for two-dimensional linear isotropic thermoelastic materials from over-prescribed noisy (Cauchy) data on the ...
-
Conference Object
The MFS for the detection of inner boundaries in linear elasticity
(2011)We propose a nonlinear minimization method of fundamental solutions for the detection (shape, size and location) of unknown inner boundaries corresponding to either a rigid inclusion or a cavity inside a linear elastic ...
-
Conference Object
MFS-based solution to two-dimensional linear thermoelasticity problems
(2012)We propose the numerical approximation of the boundary and internal thermoelastic fields in the case of two-dimensional isotropic linear thermoelastic solids by combining the method of fundamental solutions (MFS) with the ...
-
Article
The MFS-MPS for two-dimensional steady-state thermoelasticity problems
(2013)We consider the numerical approximation of the boundary and internal thermoelastic fields in the case of two-dimensional isotropic linear thermoelastic solids by combining the method of fundamental solutions (MFS) with the ...
-
Article
A numerical study of the SVDMFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity
(2015)We study the reconstruction of the missing thermal and mechanical data on an inaccessible part of the boundary in the case of two-dimensional linear isotropic thermoelastic materials from overprescribed noisy measurements ...
-
Article
On shear deformable beam theories: The frequency and normal mode equations of the homogeneous orthotropic bickford beam
(2001)This paper provides a step forwards the construction and documentation of the frequency equations and the characteristic functions of a general three-degrees-of-freedom theory that describes the plane motion of shear ...
-
Article
Regularized MFS solution of inverse boundary value problems in three-dimensional steady-state linear thermoelasticity
(2016)We investigate the numerical reconstruction of the missing thermal and mechanical boundary conditions on an inaccessible part of the boundary in the case of three-dimensional linear isotropic thermoelastic materials from ...