Nonlinear elasticity

Compatibility Equations of Nonlinear Elasticity for Non-Simply-Connected Bodies

Submitted by arash_yavari on Sun, 02/03/2013 - 16:15

Compatibility equations of elasticity are almost 150 years old. Interestingly they do not seem to have been rigorously studied for non-simply-connected bodies to this date. In this paper we derive necessary and sufficient compatibility equations of nonlinear elasticity for arbitrary non-simply-connected bodies when the ambient space is Euclidean. For a non-simply-connected body, a measure of strain may not be compatible even if the standard compatibility equations ("bulk" compatibility equations) are satisfied.

Jacobian matrix of Mooney-Rivlin model

Submitted by augustus on Sun, 09/02/2012 - 19:56

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hyperelasticity

Nonlinear elasticity

Hi,

does anyone know where I can find the analytical expressions for the components

of the Jacobian matrix of the Mooney-Rivlin model.

I know the compact form of the matrix, with the tensor products, deviators etc,

but I'm looking for the explicit expressions of each component of the matrix.

many thanks!

Periodic Solution for Nonlinear Vibration of a Fluid- Conveying Carbon Nanotube

Submitted by Payam Soltani on Fri, 11/11/2011 - 14:21

Abstract

Nonlinear free and forced vibration analysis of a single-walled carbon nanotube using shell model

Submitted by payam.soltani on Sat, 10/08/2011 - 03:39

Payam Soltani, J. Saberian, R. Bahramian, and A. Farshidianfar

http://fundamentaljournals.org/ijfps/archive.html#A14

In this Paper, the nonlinear free and force vibration of a single-walled carbon nanotube (SWCNT) with simply supported ends is

investigated based on von Karman’s geometric nonlinearity. The SWCNT described as an individual shell and the Donnell’s

equations of cylindrical shells are used to obtain the governing equations. The Galerkin's procedure is used to discretized partial

Characterization of residual stress fields in nonlinear elasticity; a question posed by Sebastien Turcaud

Submitted by Amit Acharya on Wed, 12/22/2010 - 15:07

In the post

node/9509

Three Postdoctoral positions at the University of Oxford: Brain modelling, soft-tissues, and water filtration

Submitted by goriely on Sun, 12/12/2010 - 11:33

job

computational mechanics

The Mathematical Institute at Oxford is advertising three post-doctoral positions within the Oxford Centre for Collaborative Applied Mathematics for(ideally) a 1st April 2011 start. The project titles (with links for more information) are:

1. Brain Mechanics, Cortex Folding, and Pattern Formation in Growing Tissues.

http://www.maths.ox.ac.uk/node/1405

Postdoctoral position in mechanical and material engineering

Submitted by gayoub on Tue, 10/05/2010 - 10:06

My name is Georges Ayoub; I am looking for a postdoctoral research position in mechanical and material engineering in the field of the polymer science, polymer behaviour and fatigue.

I defended my PHD at the beginning of this academic year (2010/2011). I am very motivated to start a Postdoctoral position, at the end of my thesis, in an Anglo-Saxon country.

Postdoctoral position in mechanical and material engineering

Submitted by gayoub on Thu, 07/08/2010 - 11:17

My name is Georges Ayoub; I am looking for a postdoctoral research position in mechanical and material engineering in the field of the polymer science, polymer behaviour and fatigue.

I am presently preparing my last year of PHD at Lille1 university (north France) and ill defence my thesis in September 2010. I am very motivated to start a Postdoctoral position, at the end of my thesis, in a Anglo-Saxon country.