homogenization

The expansion behavior of cellular materials is especially attractive for potential applications such as design and development of bio-inspired adaptive materials since most of biological materials have a cellular microstructure at least at one of their hierarchical levels. Wood, bone, bamboo, ice plant and honeybee combs are examples of such natural materials.

Dear all,

In micomechanics, homogenization of heterogeneous
materials based on FEM is traditional. Homogenization based on FFT technique has been recently found (in many literatures) to have much more advantages
in term of accuracy, computational cost and resource consumption.

I am wondering why FEMs are still
widely used in education, research, and industries of
generally
computational
mechanics ?

Please could anyone help me to clarify
my question?

Thanks

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Dear Colleagues,

I wish to bring to your attention my recent work with Liping Liu on "A homogenization analysis of the field theoretic approach to the quasi-continuum method" to appear in the Journal of the Mechanics and Physics of Solids. Below is the abstract and attached is the preprint of the article. I will very much appreciate your comments and suggestions.

A Homogenization Analysis of the Field Theoretic Approach to the Quasi-Continuum Method

There is a lot of homogenization theories based on penetrable model or some other name like 'overlapping', 'randomly imbedded model' to analyze random microstructure. In reality, the fibers or inclusions can not be penetrated into each other, so why they use this assumption anyway?

 Thanks for your opinion.

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Hello All. This is my first blog entry in iMechanica!. This post is about my new paper with Prof. Amine Benzerga entitled "A constitutive model for plastically anisotropic solids with non-spherical voids", accepted for publication in JMPS (URL: http://dx.doi.org/10.1016/j.jmps.2010.03.007 ). In case you are not able to view the online version, a preprint of the paper is attached. This paper should be of interest to anyone working in the ductile fracture area. Your comments and feedback are welcome.

A fully funded PhD position is available in the area of multi-scale modeling of geomaterials within the research project Failure of cohesive geomaterials: bridging the scales - GEOBRIDGE at Laboratoire Sols, Solides, Structures – Risques (3S-R), Université Joseph Fourier, Grenoble, France. 

Dear All,

Could somebody indicate me some literature about the topic "2D
approximation of heterogeneous 3D media"?

In particular I am interested to address following issues:

1) Under which conditions averaging thermal conductivity and young
modulus (or more general, mechanical behaviour) on multiple 2D crossections of an heterogeneous "random"
material can be a good approximation for the behaviour of the real 3D
microstructure

In a piezoelectric material an applied uniform strain can induce an electric polarization (or vice-versa). Crystallographic considerations restrict this technologically important property to non-centrosymmetric systems. It can be shown both mathematically and physically, that a non-uniform strain can potentially break the inversion symmetry and induce polarization even in non-piezoelectric dielectrics.