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marco.paggi's picture

Identification of higher-order continua equivalent to a Cauchy elastic composite

Dear Mechanician,

A novel method for the identification of higher-order continua equivalent to a Cauchy composite has been published, as a result of the collaboration between the following two ERC projects:

Full paper:

Justin Dirrenberger's picture

PhD scholarship available in computational mechanics at PIMM Lab in Paris, France

A PhD scholarship is available at PIMM laboratory to work on the topology optimization of lattice structures obtained by additive manufacturing.

See the file attached for description.

The successful candidate should have obtained a Master's degree (or equivalent) with a strong background in computational mechanics, materials science, mechanical engineering or any related field; although prior knowledge of the French language is not mandatory, spoken and written English proficiency is needed.

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:

Reza Mousavi's picture

Averaging and Homogenization in multiscale methods

I found this reference very helpful in building a solid base for learning the foundamentals of Homogenization methods and up to now, is the only reference that addresses the difference between Homogenization and Averaging methods.

I will put more references in this entry and will be happy if you share your links with me.

Sutured tendon repair; a multi-scale finite element model.

We've recently published an open access journal paper that looks at the mechanics of sutures used to repair severed tendons. A homogenization strategy is used to derive effective elastic properties for tendon fibrils and intracellular matrix. We have found that regions of high stress correlate with the regions of cell death (necrosis) that are sometimes observed in patients.

If this is of interest, please feel free to view the paper here.



rezaavaz's picture

Constitutive modeling of hyperelastic solids reinforced by spheroidal particles under large deformations

This paper presents a homogenization-based constitutive model for the mechanical behavior of particle-reinforced elastomers with random microstructures subjected to finite deformations. The model is based on a recently developed homogenization method (Avazmohammadi and Ponte Castaneda 2013; J. Elasticity 112, 1828–1850) for two-phase, hyperelastic composites, and is able to directly account for the shape, orientation, and concentration of the particles.

Homogenization - If materials in the model are isotropic, is it possible to get truly anisotropic resulting material?


I read that "In general, even if the materials on the micro-level are isotropic, the effective 

material can show anisotropic behavior. A general anisotropic linear elastic material 

may have twenty one independent material parameters.''


If I understand my results correctly then simple structures like ''ball in the unit cell'' result in orthotropic material.

I am a bit puzzled - what would be the simplest structure that would result in anisotropic material behaviour?

jsegurado's picture

Reminder: Call for abstracts International Workshop on Computational Mechanics of Materials in Madrid, Spain on October 1st-3rd

This is a reminder to invite you to submit an abstract for the 24th International Workshop on
Computational Mechanics of Materials (IWCMM 24) in Madrid, Spain on October 1st-3rd.
The abstract submission will close in
less than 3 weeks.


Grants for 3rd International Workshop on Physics Based Material Models and Experimental Observations Cesme/Turkey 2-4 June

In 2012 and 2013 we organized very successful Workshops on
"Physics-based material models and experimental observations" funded
by the European Union's Enlargement programme. We cordially invite you to
submit an abstract to the 3rd International Workshop on Physics Based
Material Models and Experimental Observations
to be held on 2-4 June
2014 in Cesme-Izmir/Turkey.

Homogenization using experimental data

I am exploring the area of homogenization applications in structural

In the literature which I have studied so far, I found papers which
developed these techniques using the structural properties of the periodic
"Unit Cell".

I am interested in estimation of approximate homogeneous properties from the
experimental data of periodic/random structures.

Can someone comment on the feasibility of this study and point me to relevant
literature if available.


UMAT in multiscale modeling

Hi all,

I am using multiscale modeling in my analysis. This is what I am trying to do:

-After solving the RVE problem on microscale, I got the stress-strain relationship realated to my RVE and now I need to create a UMAT soubroutines for abaqus in order to call it at the integration points of the macro model. 

Is there a possibility to create a UMAT from stress-strain curve related to a representative volume element? How can I do that? Could you please give me an hint?

Thank you very much in advance for your help

Best regards


phunguyen's picture

A review on multiscale methods for material modeling

Dear all,

Please find enclosed our paper which is published on Journal of Multiscale Modelling
Vol. 3, No. 4 (2011) 1–
42 which gives an overview of state of the art multiscale techniques for material modeling. 

The paper discusses the following topics: homogenization, Representative volume element, computational homogenization (Fe2 methods) for both both bulk materials and strong discontinuities. 

I hope the paper is useful for beginners to the field.

All the bests, 

Pradeep Sharma's picture

Surface Energy, Elasticity and the Homogenization of Rough Surfaces

The attached paper was recently accepted for publication in Journal of the Mechanics and Physics of Solids.

Multiscale Modeling of Heterogeneous Materials - Post-Doc position in Pilsen

The Post-Doc position is open for 2013-2014 (2 years) at the
Faculty of Applied Sciences of the University of West Bohemia in
Pilsen, Czech republic. Details to be announced at the end of September 2012.

Ahmad Rafsanjani's picture

Expansion behavior of cellular solids

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.


FEM versus FFT

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
mechanics ?

Please could anyone help me to clarify
my question?


Homogenization technique

Choose a channel featured in the header of iMechanica: 

Hello all,


Why is there no body force considered in the equilibrium equations of the RVE in the homogenization technique?


The overall response of the RVE is obtained by solving the RVE boundary value problem under prescribed boundary conditions (either traction or displacement BC) without considering the body force. 


Wenbin Yu's picture

New Release of General Purpose Micromechanics Code: VAMUCH 3.0

I am writing to let you know the release of VAMUCH 3.0,  the 3rd version of our general-purpose micromechanics code. The main new features are:

Two PhD positions at JWI&BSRT Charite Berlin: Multiscale modeling of MMTs

The research laboratory for Quantitative Acoustic Microscopy and High
frequency spectroscopy of the Julius Wolff Institute &
Berlin-Brandenburg Graduate School for Regenerative Therapies, Campus
Virchow-Klinikum - Prof. Dr. Kay Raum – is opening the two Doctoral
Researcher (PhD) positions immediately.

We are looking for two motivated graduate students with excellent
academic performance and interest in conducting interdisciplinary

Position I

Position ID: DM.138.11

Project description

Vikram Gavini's picture

A homogenization analysis of the field theoretic approach to the quasi-continuum method

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

Why penetrable model can be assumed in random?

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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