papers

Strain smoothing in FEM and XFEM

We present in this paper recent achievements realised on the application of strain smoothing in finite elements and propose suitable extensions to problems with discontinuities and singularities . The numerical results indicate that for 2D and 3D continuum , locking can be avoided. New plate and shell formulations that...

NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, bucklin

In this paper, a non-uniform rational B-spline based iso-geometric finite element method is used to study the static and dynamic characteristics of functionally graded material (FGM) plates. The material properties are assumed to be graded only in the thickness direction and the effective properties are computed either...

Numerical integration over arbitrary polygonal domains based on Schwarz–Christoffel conformal mappi

This paper presents a new numerical integration technique on arbitrary polygonal domains. The polygonal domain is mapped conformally to the unit disk using SchwarzChristoffel mapping and a midpoint quadrature rule defined on this unit disk is used. This method eliminates the need for a two‐level isoparametric mapping...

On the performance of strain smoothing for quadratic and enriched finite element approximations (XFEM

By using the strain smoothing technique proposed by Chen et al. ( Comput. Mech. 2000; 25 :137156) for meshless methods in the context of the finite element method (FEM), Liu et al. ( Comput. Mech. 2007; 39 (6):859877) developed the Smoothed FEM (SFEM). Although the SFEM is not yet well understood mathematically, numeri...

Nonlinear free flexural vibrations of functionally graded rectangular and skew plates under thermal e

The nonlinear formulation developed based on von Karmans assumptions is employed to study the free vibration characteristics of functionally graded material (FGM) plates subjected to thermal environment. Temperature field is assumed to be a uniform distribution over the plate surface and varied in the thickness directi...