Skip to main content

W. M. Keck Institute Postdoctoral Fellowships at Caltech/JPL

Submitted by mjudd on

The W.M. Keck Institute for Space Studies at the California Institute of Technology announces an opportunity for highly qualified individuals to apply for postdoctoral fellowships to conduct research in space science and engineering. Please see http://www.kiss.caltech.edu for additional information.

Faculty Positions, Mechanical Science & Engineering, University of Illinois at Urbana-Champaign

Submitted by Linda Conway on

The Department of Mechanical Science and Engineering at the University of Illinois at Urbana-Champaign is actively seeking candidates for faculty positions in all areas of mechanical science and engineering.  This includes candidates whose research interests are in mechanical science and engineering but whose backgrounds are in another area of engineering, or in biology, chemistry, physics, or applied mathematics.  Information about the department, and the relevant research areas, can be found at http://mechse.illinois.edu/.

Covariant and contravariant stress tensors: difference between the Cauchy stress and the 2nd Piola-Kirrchoff stress

Submitted by Malik Ait-Bachir on
Choose a channel featured in the header of iMechanica

I am currently reading a book about "Material Inhomogeneities in Elasticity" written by Gérard Maugin.

He brings up the covariancy and contravariancy of some well-known stress tensors and in particular that of the Cauchy stress tensor. I was not very familiar with the concept of covariance, so i read up on this very specific tensorial notion. 

I have been able to demonstrate easily that the deformation gradient F is a mixed tensor (covariant and contravariant).

Linearization procedure in nonlinear FEM

Submitted by phunguyen on

Hello,

As far as I know, there are two ways to derive the linearized equations (employed in the Newton-Raphson method) in nonlinear finite element methods. 

In the first approach, starting with the weak formulation, the FE approximations are substituted into the weak form, you then get the semi-discrete equations. After that, the linearization is applied on this discrete equation to get the tangent matrix. The book of Prof. Ted Belytschko followed this approach.

Predicting the Young’s modulus of nanowires from first-principles calculations on their surface and bulk materials

Submitted by guofengwang on

Prof. Xiaodong Li and I are collaborating in identifying those physical mechanisms that govern the mechanical properties of nanomaterials. Recently, we have a manuscript accepted by the Journal of Applied Physics and would like to share it with you.