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relation between the Euler-Lagrange strain tensor and the 2nd Piola-Kirchhoff stress tensor

Submitted by xalbert76 on

At finite deformations, the 2nd Piola-Kirchhoff stress tensor S_{IJ} is work-conjugate to the Euler-Lagrange strain tensor E_{IJ}, i.e. the work done by the stress S_{IJ} at developing a strain E_{IJ} per unit volume in the reference configuration is

W = 1/2 S_{IJ} E_{IJ}  (Einstein summation over repeated indices implied)

I would like to express this in the same form as used in linear elasticity, i.e. to write S_{IJ} = M_{IJKL} E_{KL}, which would give me

W = 1/2 M_{IJKL} E_{IJ} E_{KL}

2nd Annual Mach Conference, Annapolis MD, April 9-11,2014

Submitted by lgraham1 on

The Mach Conference showcases the state of the art of multiscale research in materials, with an emphasis on advancing the fundamental science and engineering of materials and structures in extreme environments.

Abstracts are due January 6, 2014. For more information, please go to the conference website machconference.org.

a JKR theory of adhesion for anisotropic solids

Submitted by Mike Ciavarella on

Jim Barber and I just got accepted this paper in JMPS, and it is also already available on Arxiv.  We found a remarkably simple closed form solution for adhesion on orthotropic materials in the planes of symmetry.  This shows adhesion can increase significantly due to anisotropy, namely the JKR solution continues to hold in the sense of mean elastic modulus, but the prefactor can grow without limit. We expect applications in crystals indentation, but also in locomotion in biological world.
 

Minisymposium on MULTISCALE COMPUTATIONAL MECHANICS OF MICRO- AND NANO- COMPOSITE MATERIALS

Submitted by Lukasz_Figiel on

The above minisymposium is organised
at the 11th World Congress on Computational Mechanics in Barcelona
(Spain), July 20 - 25, 2014 (http://www.wccm-eccm-ecfd2014.org/frontal/default.asp). 



More details on the minisymposium can be
found in the enclosed PDF by following the link: http://www.wccm-eccm-ecfd2014.org/admin/Files/FileAbstract/A268.pdf  

EMI 2014 Conference To Be Held August 5-8, 2014 at McMaster University in Hamilton, Ontario, Canada

Submitted by Amar A. Chaker on

 

The 2014 EMI Conference will take place on August 5-8, 2014 at
McMaster University in Hamilton, Ontario and will be chaired by Prof. Samir E.
Chidiac, Ph.D. P.Eng., Department of Civil Engineering.  The conference
will focus on “Mechanics for Sustainable and Resilient Systems”, a theme
of interest to participants from the disciplines of civil engineering,
mechanical engineering and engineering physics. 

Internship/Studentship position: Application of full field measurement to the identification of composite materials

Submitted by Wuf on

A studentship opportunity is available at COHMAS within the framework of a research project related to the rapid and online identification of specific composite materials. The candidate will have to design a short experimental campaign to meet specific constraints, to conduct testing and full field measurement on these configuration and to get familiar with classical inverse problem procedures.