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Nonlinear elasticity

Jacobian matrix of Mooney-Rivlin model

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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!

 

 

 

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

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

goriely's picture

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

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

gayoub's picture

Postdoctoral position in mechanical and material engineering

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.

gayoub's picture

Postdoctoral position in mechanical and material engineering

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.

Nonlinear mechanics of single-atomic-layer graphene sheets

Qiang Lu and Rui Huang

Department of Aerospace Engineering and Engineering mechanics, University of Texas, Austin,
TX 78712, USA

Luis Dorfmann's picture

Nonlinear Electroelastic Deformations

Electro-sensitive (ES) elastomers form a class of smart materials whose mechanical properties can be changed rapidly by the application of an electric field. These materials have attracted considerable interest recently because of their potential for providing relatively cheap and light replacements for mechanical devices, such as actuators, and also for the development of artificial muscles. In this paper we are concerned with a theoretical framework for the analysis of boundary-value problems that underpin the applications of the associated electromechanical interactions. We confine attention to the static situation and first summarize the governing equations for a solid material capable of large electroelastic deformations. The general constitutive laws for the Cauchy stress tensor and the electric field vectors for an isotropic electroelastic material are developed in a compact form following recent work by the authors. The equations are then applied, in the case of an incompressible material, to the solution of a number of representative boundary-value problems. Specifically, we consider the influence of a radial electric field on the azimuthal shear response of a thick-walled circular cylindrical tube, the extension and inflation characteristics of the same tube under either a radial or an axial electric field (or both fields combined), and the effect of a radial field on the deformation of an internally pressurized spherical shell.

Nonlinear elasticity of biological gels

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I would like to propose the recent papers by Janmey, P.A., and coworkers on the nonlinear elasticity behavior of biopolymer gels for "biomechanics" issue in J Club. In their original work, they proposed the biopolymer network model composed of semi-flexible polymers that behave like a worm-like-chain (WLC) model. Their models surprisingly capture the mechanical response of biopolymer gels such as neuro-filaments. The details of their work are as follows:

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