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Why two different heaviside enrichment functions used in XFEM?

I have been looking at XFEM literature for a while and wondering why do we need 2 different heaviside enrichment functions in XFEM? In paper titled "A finite element method for crack growth without remeshing" by Nicolas Moes et al.(1999), they use the following function for heaviside enrichment:

 H(x,y)={1, for y>0

             -1,for y<0}

 While, in paper titled "A review of extended/generalized finite element methods for material modeling" by Ted Belytschko et al.(2009), they use the following function for heaviside enrichment:

Hamed Hatami's picture

PhD Positions are available in the Mechanical Engineering Department - University of Illinois at Chicago

We are looking for candidates for doctoral positions in the areas of computational and experimental biomechanics. Candidates must have earned a M.Sc. degree in Mechanical Engineering or in a related field from an accredited University. Candidates with strong background in numerical simulations (e.g. C++ and FORTRAN programming skills, finite element analysis, and high performance computing) and/or previous experience in experimental characterization of bioogical tissues are highly desirable.

Position Closed

Teng Li's picture

SES2016 is open for registration

Dear colleagues:

We are pleased to announce that the 53rd Annual Technical Meeting of the Society of Engineering Science (SES2016) is now open for registration at


We look forward to seeing you at the University of Maryland, College Park in October!

Teng and Abhijit

Sulin Zhang's picture

Nominate 2016 EML Young Investigator Award

The second Extreme Mechanics Letters (EML) Young Investigator Award is provided by Elsevier to honor the best paper by a young scientist which has been published in volumes 5-8 EML from 2015 to 2016. Nominations and self-nominations are encouraged. Deadline of nomination is Sept. 10, 2016. 

To nominate a paper, simply log in to your free Materials Today Account. See the link below for details. 

Simpleware Automotive Workshop, Dearborn, MI, Sep 13 2016

Date / Time: Tuesday, September 13, 2016 / 9:30 am - 12:30 pm

Location: Ford Conference & Event Center, Dearborn, MI

Fee: Free-to-attend. Pre-registration is required as places are limited

Register here

Who should attend

A Comparison of the Elastic Properties of Graphene- and Fullerene-Reinforced Polymer Composites: The Role of Filler Morphology and Size

A recently published paper in mechanical properties of graphene polymer nanocomposites via MD simulations, by Chang-Tsan Lu, Asanka Weerasinghe, Dimitrios Maroudas and Ashwin Ramasubramaniam.

Looking for a job opportunity in Mechanical Engineering

Dear All, 

 My name is Anton and I have graduated from New Mexico State University with my Master's degree in Mechanical Engineering in August. I am currently looking for a job opportunities in both industry and academia (PhD). I am keep looking for an openings on this web-site myself, but I will be grateful for any suggestions. If someone knows any other opportunities please let me know. 

Here is a brief summary of my qualifications: 

•Solid Mechanics and Materials. Physics of Strength and Plasticity. Modeling of Mechanical systems

eunseoklee's picture

RA position is available in the University of Alabama in Huntsville

One immediate graduate student RA position is available. The potential student will register to the department of mechanical and aerospace engineering and perform graduate research in the area of energy storage/conversion using first-principles calculations. Stipend and tuition support will be provided.

Any student who has a background in physics and/or materials science at either atomic scales or continuum scales is welcomed to email his/her CV to Prof. Eunseok Lee (

Kmomeni's picture

Open position for PhD students on multiscale modeling at Louisiana Tech

There are openings in Advanced Hierarchical Materials by Design lab at Louisiana Tech University for research on multiscale material modeling and simulation. We will use different numerical methods such as Molecular Dynamics, Phase Field, and Finite Element Method to investigate the effect of micro/nanostructure on the overall characteristics of the materials under different environment. The focus is on low dimensional materials, materials for energy, and materials under extreme environments.

pourmatin's picture

Multiscale real-space quantum-mechanical tight-binding calculations of electronic structure in crystals with defects using perfectly matched layers

<p>We consider the scattering of incident plane-wave electrons from a defect in a crystal modeled by the time-harmonic Schrödinger equation. While the defect potential is localized, the far-field potential is periodic, unlike standard free-space scattering problems. Previous work on the Schrödinger equation has been almost entirely in free-space conditions; a few works on crystals have been in one-dimension. We construct absorbing boundary conditions for this problem using perfectly matched layers in a tight-binding formulation.

In Memoriam - Prof. Dr.-Ing. Christian Miehe


Dear Sir or Madam, dear colleagues, 

with deep sadness and regret we inform you Prof. Dr.-Ing. Christian  Miehe passed away last  Sunday, August 14th, 2016th.

Professor Miehe held the chair for Mechanics and Material Theory at the Institute of Applied Mechanics, Faculty of Civil and Environmental Engineering of the University of Stuttgart and has been one of the directors of the institute. He has been greatly appreciated by his colleagues and his co-workers, and students always found him receptive to their concerns.

Mohammad Aramfard's picture

Professor Christian Miehe passed away

Unfortunately Professor Miehe of Stuttgart  University passed away on last Sunday, Aug 14. 2016.


Those willing to pay their last respects to Professor Christian Miehe
may take the opportunity to participate in the obsequies, taking place
in the Laurentiuskirche, Reinbeckstraße 8, 70565 Stuttgart (Rohr), 2:00
pm on Tuesday, August 23rd, 2016.

Sergio Turteltaub's picture

Second announcement: faculty position at Delft University of Technology, The Netherlands

This a second announcement for a new tenure-track faculty position is available in the group of Aerospace Structures and Computational Mechanics (ASCM) at the faculty of Aerospace Engineering of Delft University of Technology in the Netherlands.

alicia's picture

Postdoctoral opening in topology optimization at UC San Diego

Applications are sought for one Post-Doctoral Researcher at University of California, San Diego (USA) to join the M2DO research lab. The primary research focus is to develop topology optimization for multiscale and multiphysics problems optimizing materials and structures.

Relevant research background in the following areas are encouraged to apply:

Multiple faculty positions at LNM


Multiple faculty positions at the State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China


Simpleware Materials Workshop, MTC Coventry, Sep 9 2016

Date / Time: Friday, September 9, 2016 / 9:30 am - 12:30 pm

Location: The MTC, Ansty Park, Coventry, UK

Fee: Free-to-attend. Pre-registration is required as places are limited

Register here

Who should attend

Question about Anisotropic Plasticity models (Hill48)

Dear all,

Recently, I've started working on developing effective algorithm for extracting constitutive parameters from full-field measurements for anisotropy plasticity. Our first reference model was chosen as Hill48 due to relatively simple form, popularity etc. Since we are new to that topic we had discussion with my supervisor about nature of anisotropic plasticity and here are some crucial points.

likask's picture

Modern and open finite element code


MoFEM is open and free finite element code. See short video showing how easy you can install code form scratch MoFEM web page is avaliable here If you are intersted in contribute to MoFEM code or simply use it let us know. Feel free to aks any question.

How to design fast and accurate optimized turbocharger impeller

Discover how coupling TURBOdesign1 with ANSYS workbench can rapidly and automatically design turbocharger impellers to meet contrasting requirements of efficiency, range, inertia, stress and vibration.

Considerable numbers of engineers are under pressure to quickly produce and deliver high quality performance turbomachinery. Having the correct tools for each project is paramount to achieve an accurate design.

Majid Ayat's picture

ICF14 – Minisymposium on Mixed Mode Fracture in Engineering Materials

I am writing to respectfully inform you that Professor Filippo Berto and I are organizing a mini-symposium called “Mixed Mode Fracture in Engineering Materials” as part of the “14th International Conference on Fracture - ICF14” to be held in Rhodes, Greece, June 18-23, 2017.  More information about the mini-symposium can be found in the flyer attached.

Nine papers about fatigue modelling of short fiber composite

Recently, we have published a series of nine papers about modelling fatigue and damage in short fiber composites.  Together, they provide a complete description of modelling of such materials including wavy fiber composites; starting from appropriate homogenization method to component level fatigue simulation. Discussion and feedback on the papers is welcome.

★Full PhD scholarship at Curtin University, Australia (Structural Engineering)

The candidate will work with Prof. Hong Hao and Dr. Wensu Chen in the area of structural Engineering on an Australia Research Council (ARC) project regarding development of sandwich composite structure against blast and impact loading.


Zhigang Suo's picture

Cartesian product

These notes are a part of the notes on linear algebra.

Antonino Favata's picture

Graphene is softer to bend when stretched and bent and harder to stretch when bent and moderately stretched


In the attached paper, we have shown that concomitant bending and stretching, whatever their value, concur to make bending stiffness decrease; moreover, concomitant bending and stretching make the stretching stiffness (or the Young modulus) increase until the applied forces reach a threshold value, then they make it decrease. Said differently, graphene is softer to bend when stretched and bent and harder to stretch when bent and moderately stretched.



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