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homogenization

nassarh's picture

Rigidity theory meets homogenization: How periodic surfaces bend

In differential geometry, rigidity theory investigates whether a surface can deform by pure bending without stretching. The central problem is to find or disprove the existence of isometric deformations.

Classical examples in the "discrete" category include:

PhD/postdoc openings (University of Minnesota) on the multi-physics modeling and inverse characterization on reaction-driven cracking

Successful applicants will work on the mechanics and thermodynamics of porous solids undergoing reactive flow within the scope of the DOE-funded center on Geo-processes in Mineral Carbon Storage (GMCS, https://gmcs.umn.edu). The mission of GMCS is to develop the fundamental science and engineering capability that will lead to realizing the full potential for large-scale subsurface storage of CO2 via mineralization.

Postdoctoral research associate position in Mechanics of Materials at Rensselaer Polytechnic Institute

A postdoctoral research associate position is available starting immediately in the area of modeling material behavior with emphasis on constitutive modeling, homogenization, energetic materials. Candidates with expertise in multiscale techniques are particularly encouraged to apply. The hire will interact closely with a group of investigators from multiple universities. The qualified candidate will have a PhD in Mechanical Engineering or Materials Science. The duration of the appointment is 12 - 14 months.

Kshiteej Deshmukh's picture

Multiband homogenization of metamaterials in real-space: Higher-order nonlocal models and scattering at external surfaces

Dear colleagues, 

We invite you to read our recent article, which proposes a multiband homogenization scheme and has been accepted to appear in JMPS (https://www.sciencedirect.com/science/article/pii/S002250962200182X)

Multiband homogenization of metamaterials in real-space: Higher-order nonlocal models and scattering at external surfaces

rabedi's picture

MS/PhD positions, UT Knoxville, statistical composite homogenization & Radiative Transfer Equation

I have a few positions (funded by AFRL, ARO, etc) for MS or PhD (preferred) students at the University of Tennessee Space Institute (UTSI) and University of Tennessee Knoxville (UTK). The positions should start in January 2022 or at the latest Fall 2022. One of the positions requires US citizenship. The projects are in the following general areas:

 

Julian J. Rimoli's picture

New article on inelastic homogenization through machine learning

I would like to share another article from my group just published in CMAME. I think this is an interesting approach towards the automatic generation of constitutive laws for arbitrary microstructures:

https://authors.elsevier.com/a/1bxlSAQEIt1ls

The article focuses on how to systematically create constitutive laws using only:

1) Available microstructural models

2) Machine learning techniques

nassarh's picture

PhD positions on mechanics of morphing solids and shells at the University of Missouri, Columbia

The positions: I am looking to support two PhD students to work with me towards a mechanical understanding of morphing structures such as origami tessellations and lattice materials and metamaterials. By "understanding" I mean anything relevant to the theoretical and numerical modeling of these structures, in static and dynamic regimes, within the context of elasticity whether linearized or not as well as the fabrication and testing of toy models necessary to assess that "understanding".

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:

http://erc-instabilities.unitn.it

http://musam.imtlucca.it/CA2PVM.html

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?

Hello,

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
engineering.

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

Yas

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.

Pages

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