element free galerkin method for crack analysis of orthotropic plates

Authors

s.sh. ghorashi

s.r. sabbagh-yazdia

s. mohammadi

abstract

a new approach for analyzing cracked problems in 2d orthotropic materials using the well-known element free galerkin method and orthotropic enrichment functions is proposed. the element free galerkin method is a meshfree method which enables discontinuous problems to be modeled efficiently. in this study, element free galerkin is extrinsically enriched by the recently developed crack-tip orthotropic enrichment functions. also, a suitable way is applied to select support domains near a crack so that the discontinuity can be modeled without the heaviside enrichment function. crack-tip enrichment functions span the possible displacement space that may occur in the analytical solution. for evaluating the mixed-mode stress intensity factors, the interaction integral is applied. some numerical examples are simulated to investigate the efficacy of the new approach by comparing with other numerical or (semi-) analytical methods.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Element free Galerkin method for crack analysis of orthotropic plates

A new approach for analyzing cracked problems in 2D orthotropic materials using the well-known element free Galerkin method and orthotropic enrichment functions is proposed. The element free Galerkin method is a meshfree method which enables discontinuous problems to be modeled efficiently. In this study, element free Galerkin is extrinsically enriched by the recently developed crack-tip orthot...

full text

Free and Forced Transverse Vibration Analysis of Moderately Thick Orthotropic Plates Using Spectral Finite Element Method

In the present study, a spectral finite element method is developed for free and forced transverse vibration of Levy-type moderately thick rectangular orthotropic plates based on first-order shear deformation theory. Levy solution assumption was used to convert the two-dimensional problem into a one-dimensional problem. In the first step, the governing out-of-plane differential equations are tr...

full text

Analysis of Thin Plates by the Element-Free Galerkin Method

A meshless approach to the analysis of arbitrary Kirchhoff plates by the Element-Free Galerkin (EFG) method is presented. The method is based on moving least squares approximant. The method is meshless, which means that the discretization is independent of the geometric subdivision into “finite elements”. The satisfaction of the C1 continuity requirements are easily met by EFG since it requires...

full text

Element Free Galerkin Method for Static Analysis of Thin Micro/Nanoscale Plates Based on the Nonlocal Plate Theory

In this article, element free Galerkin method is used for static analysis of thin micro/nanoscale plates based on the nonlocal plate theory. The problem is solved for the plates with arbitrary boundary conditions. Since shape functions of the element free Galerkin method do not satisfy the Kronecker’s delta property, the penalty method is used to impose the essential boundary conditions. Discre...

full text

free and forced transverse vibration analysis of moderately thick orthotropic plates using spectral finite element method

in the present study, a spectral finite element method is developed for free and forced transverse vibration of levy-type moderately thick rectangular orthotropic plates based on first-order shear deformation theory. levy solution assumption was used to convert the two-dimensional problem into a one-dimensional problem. in the first step, the governing out-of-plane differential equations are tr...

full text

Analysis of Thin Shells by the Element-Free Galerkin Method

A meshless approach to the analysis of arbitrary Kirchhoff shells by the Element-Free Galerkin (EFG) method is presented. The shell theory used is geometrically exact and can be applied to deep shells. The method is based on moving least squares approximant. The method is meshless, which means that the discretization is independent of the geometric subdivision into “finite elements”. The satisf...

full text

My Resources

Save resource for easier access later


Journal title:
computational methods in civil engineering

Publisher: university of guilan

ISSN

volume 1

issue 1 2010

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023