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extended finite element method

Emilio Martínez Pañeda's picture

Gradient plasticity crack tip characterization by means of the extended finite element method (MATLAB code included)

I hope some of you may find this work interesting, the X-FEM non-linear code developed (incorporating linear elasticity, J2 plasticity, and Strain Gradient Plasticity) can be downloaded from

Gradient plasticity crack tip characterization by means of the extended finite element method

Emilio Martínez-Pañeda, Sundararajan Natarajan, Stéphane Bordas

Computational Mechanics (2017)

Emilio Martínez Pañeda's picture

Numerical analysis of quasi-static fracture in functionally graded materials

This work investigates the existing capabilities and limitations in numerical modeling of fracture problems in functionally graded materials (FGMs) by means of the well-known finite element code ABAQUS. Quasi-static crack initiation and growth in planar FGMs is evaluated. Computational results of fracture parameters are compared to experimental results and good agreement is obtained. The importance of the numerical fit of the elastic properties in the FE model is analyzed in depth by means of a sensitivity study and a novel method is presented.

When is strong and when is weak by using extended finite element method?

As we know, the extended finite element method has been well used to simulate the localization band propagation and crack propagation without remeshing. It can deal with both strong discontinuity problems (displacement discontinuity) and weak discontinuity problems (strain or acceleration discontinuity). Now, I have always a question: when is strong and when is weak discontinuity using XFEM? In other words, what is the difference for the interpolation function and level set function or other function between strong and weak discontinuity? Thanks.

criterion to stop crack analysis in xfem

Dear all,

my problem is dealing with a fatigue crack propagation analysis using XFEM (linear elastic case) with a prescribed initial imperfection in the modeled solid. What is the criterion to exit from such a kind of analysis?

Thank you in acvance!

[SOLVED] 3D crack growth modelling in Abaqus by XFEM

Good day everyone,

I'm new to iMechanica and look forward to getting to know everyone here. Smile

I'm currently doing analysis of interlaminar crack growth in fibre-reinforced composite by Extended Finite Element Method (XFEM) using Abaqus. I'm a new Abaqus user and therefore I have to familiarise myself by constructing random 2D and 3D models with isotropic materials before jumping onto anisotropic.

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