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نتایج جستجو برای Finite element formulation

تعداد نتایج: 323555  
2002
Chad M. Landis,

ABSTRACT A new finite element formulation for the solution of electromechanical boundary value problems is presented. As opposed to the standard formulation that utilizes a scalar electric potential as nodal variables, this new formulation implements a vector potential from which components of electric displacement are derived. For linear piezoelectric materials with positive definite material ...

2007
Karl Grosh, Peter M. Pinsky, Manish Malhotra, Vinay S. Rao,

A new method for obtaining the response of a baaed, uid{loaded, nite cylindrical shell using the nite element method is presented. The Galerkin nite element formulation for this problem utilizes a Neumann Green's function representation of the pressure loading on the shell. By representing the pressure loading in this manner, only the structure need be discretized. Both C 0 and C 1 nite element...

2004
Binoj Ramesh, Antoinette M. Maniatty,

This paper presents a stabilized finite element formulation for nearly incompressible finite deformations in hyperelastic–plastic solids, such as metals. An updated Lagrangian finite element formulation is developed where mesh dependent terms are added to enhance the stability of the mixed finite element formulation. This formulation circumvents the restriction on the displacement and pressure ...

Journal: :CoRR 2008
D. Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad,

The following work presents a generalized (extended) finite element formulation for the advection–diffusion equation. Using enrichment functions that represent the exponential nature of the exact solution, smooth numerical solutions are obtained for problems with steep gradients and high Peclet numbers (up to Pe = 25) in one and two-dimensions. As opposed to traditional stabilized methods that ...

A Tati, M.O Belarbi,

The bending behavior of composites sandwich plates with multi-layered laminated face sheets has been investigated, using a new four-nodded rectangular finite element formulation based on a layer-wise theory. Both, first order and higher-order shear deformation; theories are used in order to model the face sheets and the core, respectively. Unlike any other layer-wise theory, the number of degre...

This paper provides an incremental layerwise finite element formulation for the viscoelastic analysis of multilayered pavements.  The constitutive behavior of asphalt concrete is represented by the Prony series. Layerwise finite element has been shown to provide an efficient and accurate tool for the numerical simulation of laminated structures. Most of the previous research on numerical simula...

Journal: :Physical review. D, Particles and fields 1996
Milton,

Recently it was shown how to formulate the finite-element equations of motion of a non-Abelian gauge theory, by gauging the free lattice difference equations, and simultaneously determining the form of the gauge transformations. In particular, the gauge-covariant field strength was explicitly constructed, locally, in terms of a path ordered product of exponentials (link operators). On the other...

2010
M. Chiumenti,

This work exploits the concept of stabilization techniques to improve the behaviour of either mixed or p u / mixed u / ε linear/linear triangular elements when strain localization analysis is required. Different stabilization methods suitable for either Mode-I or Mode-II structural failure are proposed and compared to check the global stability of the corresponding discrete finite element formu...

2011
Leo Brewin,

We will present a set of equations for General Relativity adapted to weak simplicial spacetimes. The equations will be obtained via a weak formulation of the field equations similar to the methods commonly used in finite element schemes. The equations will be shown to be a weighted sum of the Regge equations.

2009
S. L. Ho, Shiyou Yang, H. C. Wong,

This paper details the development of the weak form formulations of finite element type methods using wavelets as basis functions. Such approaches are different from most wavelets based ones that are derived from the strong form. The advantages of the proposed formulation are that there is no need to enforce natural boundary conditions and that the lower order derivatives of the wavelet bases a...