finite element elasticity problems
A new strain-based finite element for plane elasticity problems
... strain-based element is developed. The element has five nodes, four at the corners as well as an internal ...the element proved to be superior to existing elements, even though a static condensation ...
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Finite element method for two-dimensional elasticity problem
... Finally, the last chapter will be the conclusion part that summarized the whole research. There are also some suggestions regarding related research area will be proposed in the last chapter, as well as the interesting ...
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A MESHLESS (EFG) APPROACH FOR LINEAR ELASTICITY AND NUMERICAL COMPARISON WITH THE FINITE ELEMENT METHOD.
... The aim of this study is to propose a numerical procedure based on Element-Free Galerkin (EFG) method to solve problems in linear elasticity. Numerical tests are given to confirm the efficiency of ...
7
Gradient-enriched finite element methodology for axisymmetric problems
... Gradient elasticity is a generic name given to a family of generalised continuum elasticity theories which suggest to take into account the effects of the micro-structure on the mechanical behaviour of a ...
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Nano-Scaled Plate Free Vibration Analysis by Nonlocal Integral Elasticity Theory
... integral elasticity theory. A suitable framework for applying the Finite Element Method (FEM) to nonlocal problems is theorized by using the principle of total potential ...integral ...
12
Finite Element Methods for Interface Problems with Locally Modified Triangulations
... and elasticity problem with interfaces using the Galerkin finite element method [4, ...the finite element method using body-fitted ...several finite element methods have ...
77
An immersed FEM for elasticity equations with interfaces
... the elasticity system with an interface based on Cartesian ...the finite difference equations may not converge ...immersed finite element (IFE) for solving the two-phase elasticity ...
16
Realistic computable error bounds for three dimensional finite element analyses in linear elasticity
... linear elasticity problems go back at least as far as [16] with many more estimators being subsequently obtained for two dimensional linear elasticity [7, 8, 11, 12, 18, 19, 24] and three dimensional ...
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Immersed-Interface Finite-Element Methods for Elliptic and Elasticity Interface Problems
... Let T = ∆ABC be an interface element; cf. Figure 2.5 (b). As before, we assume that the interface meets edges of this element at D and E. To construct a local basis function that is globally continuous, we ...
116
Unified finite element methodology for gradient elasticity
... of problems that classical elasticity fails to describe accurately, in particular to a two-dimensional mode I fracture problem, through which it has been shown that the different implemented finite ...
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An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem
... us to look into the subject how to use the upwind FVEM to solve three-dimensional nonlinear convection-domi- nated diffusion problems. In this article, we continue to our work [17] and put forward an upwind FVEM ...
7
Numerical homogenization of the viscoplastic behavior of snow based on X-ray tomography images
... of elasticity, typical kinematically uniform boundary conditions (KUBC) are applied to 3-D images of snow, and finite element simulations are run in order to link the macroscopic stress response of ...
21
An efficient direct solver for a class of mixed finite element problems
... áçL.ñSDUácXñ3çEDgWàáä ®Vä_XUçhà3CEäãTdH DXáTWH3ê åSDTdHáØV¢à3gWáETdå3gWTdZ_XláTdDUH3ç aXUHã ChätgdXáTi4ä þXáETdD LjDUî ácä2å3CEDåSDçhätã ü.äMF ¨XUgdêDUCETWáEc3V7[r] ...
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Software for finite element methods and its application to nonvariational problems
... nonvariational problems, as a class of equations themselves they have not been studied ...nonvariational problems were finite difference methods ...nonvariational problems is due to their ...
173
Finite Element Method with Patches for Poisson problems in polygonal domains
... the finite element approximation of the singularities of the solution of Poisson problems in a polygonal domain with reentrant corners or changing Dirichlet- Neumann boundary ...
20
Strong Superconvergence of Finite Element Methods for Linear Parabolic Problems
... Moreover, results of the p ∞ case are also included in two space dimensions d 1 or 2. As an application, by employing the interpolated finite element operators cf. 7, 8 to the approximate solution U in the ...
16
Superconvergence of a finite element method for linear integro differential problems
... Abstract. We introduce a new way of approximating initial condition to the semidiscrete finite element method for integro-differential equations using any degree of elements. We obtain several superconvergence ...
17
A study of finite and linear elasticity
... such as stress, strain and displacement,and to find outthe relationship between them.It is importantto know thatlinear elasticity is the special case offinite elasticity. Although linea[r] ...
73
An optimal finite element mesh for elastostatic structural analysis problems
... This is a repository copy of An optimal finite element mesh for elastostatic structural analysis problems.. White Rose Research Online URL for this paper: http://eprints.whiterose.ac.uk/[r] ...
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