A comparative study of displacement and mixed‐based corotational finite element formulations for elasto‐plastic three‐dimensional beam analysis

2011 ◽  
Vol 28 (7) ◽  
pp. 939-982 ◽  
Author(s):  
Rabe Alsafadie ◽  
Mohammed Hjiaj ◽  
Hugues Somja ◽  
Jean‐Marc Battini
Keyword(s):  
Finite Element ◽  
Comparative Study ◽  
Three Dimensional ◽  
Beam Analysis ◽  
Finite Element Formulations

A Generalized Form Of Integral-Finite Element Formulations For Diffusion Equation

1984 ◽  
pp. 1-6
Author(s):  
Wan Mokhtar Nawang
Keyword(s):  
Differential Equation ◽  
Finite Element ◽  
Variational Principle ◽  
Heat Flow ◽  
Three Dimensional ◽  
Integral Form ◽  
Physical Problem ◽  
Integral Formulation ◽  
Governing Differential Equation ◽  
Finite Element Formulations

A physical problem such as diffusion can be described mathematically in two ways, i.e. by Differential Equation Formulation or Integral Formulation. An integral form is derived from its governing differential equation using the method of Variational Principle for a three-dimensional heat flow equation.The equivalent Integral Formulation will be a very useful and an inevitable tool in the formulation of finite element equatipn.

A Three-Dimensional Comparative Study of the Isoparametric Graded Boundary and Finite Element Methods for Nonhomogeneous FGM Plates with Eccentric Cutouts

2017 ◽  
Vol 14 (01) ◽  
pp. 1750006 ◽  
Author(s):  
H. Ashrafi ◽  
M. Shariyat
Keyword(s):  
Finite Element ◽  
Comparative Study ◽  
Three Dimensional ◽  
Theory Of Elasticity ◽  
Boundary Integral ◽  
Functionally Graded ◽  
Element Formulation ◽  
Graded Materials ◽  
Circular Holes ◽  
3D Elasticity

In the present paper, a comparative study is presented between three-dimensional (3D) graded finite element and boundary integral equation methods capable of modeling quasi-static behaviors of heterogeneous plates with circular holes made of functionally graded materials (FGMs). The formulations are derived based on the 3D theory of elasticity. The volume fractions of the constituent materials of the FGM plates are assumed to vary through the thickness direction according to an exponential law. The graded finite element formulations are developed based on the Rayleigh–Ritz energy method. Somigliana stress identity is implemented numerically for 3D elasticity analysis of the heterogeneous isotropic plates, employing graded elements. Based on the resulting governing equations and the weighted residual technique, an effective boundary element formulation is implemented for the elastic FGM plates. To verify numerical results of the present work, several examples are provided. The comparison made for a homogenous plate shows an excellent concordance between the results.

Three-Dimensional Versus Axisymmetric Finite-Element Analysis of a Cylindrical Vessel Inlet Nozzle Subject to Internal Pressure—A Comparative Study

1978 ◽  
Vol 100 (2) ◽  
pp. 134-140 ◽  
Author(s):  
J. B. Truitt ◽  
P. P. Raju
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Comparative Study ◽  
Internal Pressure ◽  
Three Dimensional ◽  
Element Analysis ◽  
Stress Indices ◽  
Modeling Techniques ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element

This paper presents a comparative study between a three-dimensional and an axisymmetric finite-element analysis of a reactor pressure-vessel inlet nozzle subject to internal pressure. A quarter-symmetric section of the nozzle is modeled with a three-dimensional quadratic isoparametric finite element. This comparative study proves that the axisymmetric analysis is unconservative if based upon common axisymmetric modeling techniques. This inadequacy, for the PWR vessel inlet nozzle studied herein, can be offset by a modification of the modeling techniques, i.e., if the value of the radius of the equivalent spherical vessel is taken as 3.2 instead of, say, 2. The results of the three-dimensional finite-element analysis are also compared with those of a photo-elastic stress analysis and with the stress indices indicated by the ASME Section III Code. These additional comparisons, based upon a continuous distribution of hoop and tangential stress indices in both the transverse and longitudinal planes, shows good agreement between the three-dimensional finite-element and photoelastic analyses. The ASME Section III stress indices are found to be relatively conservative.

Sign in / Sign up

Export Citation Format

Share Document