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An enriched finite element algorithm for numerical computation of contact friction problems
, Article International Journal of Mechanical Sciences ; Volume 49, Issue 2 , 2007 , Pages 183-199 ; 00207403 (ISSN) ; Nikbakht, M ; Sharif University of Technology
2007
Abstract
In this paper, the extended finite element method (XFEM) is employed to model the presence of discontinuities caused by frictional contact. The method is used in modeling strong discontinuity within a standard finite element framework. In extended finite element method (XFEM) technique, the special functions are included in standard FEM to simulate discontinuity without considering the boundary conditions in meshing the domain. In this study, the classical finite element approximation is enriched by applying additional terms to simulate the frictional behavior of contact between two bodies. These terms, which are included for enrichment of nodal displacements, depend on the contact condition...
A finite element formulation for analysis of functionally graded plates and shells
, Article Archive of Applied Mechanics ; Volume 74, Issue 5-6 , 2005 , Pages 375-386 ; 09391533 (ISSN) ; Hosseini Kordkheili, S. A ; Sharif University of Technology
2005
Abstract
A finite element formulation is derived for the thermoelastic analysis of functionally graded (FG) plates and shells. The power-law distribution model is assumed for the composition of the constituent materials in the thickness direction. The procedure adopted to derive the finite element formulation contains the analytical through-the-thickness integration inherently. Such formulation accounts for the large gradient of the material properties of FG plates and shells through the thickness without using the Gauss points in the thickness direction. The explicit through-the-thickness integration becomes possible due to the proper decomposition of the material properties into the product of a...
Modeling of large deformation - Large sliding contact via the penalty X-FEM technique
, Article Computational Materials Science ; Volume 48, Issue 3 , May , 2010 , Pages 471-480 ; 09270256 (ISSN) ; Taheri Mousavi, S.M ; Sharif University of Technology
2010
Abstract
In this paper, an extended finite element method is employed to simulate the presence of discontinuities caused by the contact surface. In X-FEM, the need for mesh adaption to interface is neglected and the process is accomplished by partitioning the domain with some triangular sub-elements whose Gauss points are used for integration of the elements. The modified level set technique and the Heaviside enrichment function are employed to approximate the discontinuous displacement field of elements located on the contact surface. The penalty method is used to impose the contact constraints and establish the non-penetration condition. An efficient numerical algorithm is employed to model the...
Three-dimensional data transfer operators in large plasticity deformations using modified-SPR technique
, Article Applied Mathematical Modelling ; Volume 33, Issue 7 , 2009 , Pages 3269-3285 ; 0307904X (ISSN) ; Gharehbaghi, S. A ; Sharif University of Technology
2009
Abstract
In this paper, the data transfer operators are developed in 3D large plasticity deformations using superconvergent patch recovery (SPR) method. The history-dependent nature of plasticity problems necessitates the transfer of all relevant variables from the old mesh to new one, which is performed in three main stages. In the first step, the history-dependent internal variables are transferred from the Gauss points of old mesh to nodal points. The variables are then transferred from nodal points of old mesh to nodal points of new mesh. Finally, the values are computed at the Gauss points of new mesh using their values at nodal points. As the solution procedure, in general, cannot be...
New development in extended finite element modeling of large elasto-plastic deformations
, Article International Journal for Numerical Methods in Engineering ; Volume 75, Issue 10 , 21 January , 2008 , Pages 1133-1171 ; 00295981 (ISSN) ; Khoei, A. R ; Sharif University of Technology
2008
Abstract
This paper presents new achievements in the extended finite element modeling of large elasto-plastic deformation in solid problems. The computational technique is presented based on the extended finite element method (X-FEM) coupled with the Lagrangian formulation in order to model arbitrary interfaces in large deformations. In X-FEM, the material interfaces are represented independently of element boundaries, and the process is accomplished by partitioning the domain with some triangular sub-elements whose Gauss points are used for integration of the domain of elements. The large elasto-plastic deformation formulation is employed within the X-FEM framework to simulate the non-linear...
Modeling of moving boundaries in large plasticity deformations via an enriched arbitrary Lagrangian-Eulerian FE method
, Article Scientia Iranica ; Volume 17, Issue 2 A , 2010 , Pages 141-160 ; 10263098 (ISSN) ; Khoei, A. R ; Sharif University of Technology
2010
Abstract
In this paper, a new computational technique is presented for the modeling of moving boundaries in large plastic deformations based on an enriched arbitrary Lagrangian-Eulerian finite element method. An Arbitrary Lagrangian-Eulerian (ALE) technique is employed to capture the advantages of both Lagrangian and Eulerian methods and alleviate the drawbacks of mesh distortion in Lagrangian formulation. An enriched finite element method is implemented based on the extended FEM technique to capture the arbitrary interfaces independent of element boundaries. The process is accomplished by performing a splitting operator to separate the material (Lagrangian) phase from the convective (Eulerian)...