continuum mechanics
Naghdi's Notes on Continuum Mechanics (ME 185)
Professor Naghdi's classnotes on continuum mechanics are posted at http://me.berkeley.edu/csml/other.html, and are also linked from my faculty page under "ME 185"
Balance Laws in Continua with Microstructure
This paper revisits continua with microstructure from a geometric point of view. We model a structured continuum as a triplet of Riemannian manifolds: a material manifold, the ambient space manifold of material particles and a director field manifold. Green-Naghdi-Rivlin theorem and its extensions for structured continua are critically reviewed.
Faculty Position in Mechanical Engineering, University of California, Santa Barbara
FACULTY POSITION
MECHANICAL ENGINEERING
COLLEGE OF ENGINEERING
UNIVERSITY OF CALIFORNIA, SANTA BARBARA
MECHANICAL ENGINEERING
COLLEGE OF ENGINEERING
UNIVERSITY OF CALIFORNIA, SANTA BARBARA
Void expansion as wave phenomena - might damage evolution be mathematically related to fluid dynamics and turbulence?
The main idea is the following: a most natural mathematical setup for considering the motion of the void-solid interface of an expanding void is that of the traveling wave. Thus, a theory for macroscopic damage evolution may be suspected as being a homogenized version of basic theory that has such wave phenomena as an essential ingredient. This paper is a first step in probing such questions.
Ph.D. studentship in smart material at University of Glasgow, UK
A three-year
PhD studentship is available within the Glasgow Research Partnership in
Engineering (GRPE) as part of the Joint Research Institute in Mechanics of
Materials, Structures and Bioengineering at the University of Glasgow.
The
specific goals of the PhD will be to manufacture MREs and determine the
influence of manufacture conditions on the micro-structure and magnetic-sensitivity
of the magnetorheological elastomers (smart material).
Recruiting PhD students for Cell Mechanics Lab at Rensselaer
Full support is available for 2 PhD students in cellular mechanics group in Biomedical Engineering Department at Rensselaer Polytechnic Institute.
The applicants should have mechanics, materials or soft matter physics background, with some experimental experience at micro-scales. Experience with any of the following is considered a
plus: computational mechanics, cell/tissue culture, microscopy, image analysis, photonics.
MD simulation VS. Continuum mechanical model Of protein
Hi, all
Molecular dynamics (or MC) is a powerful tool in the protein research. There're lots of scientific works in this field, which deepen our understanding gradually. My question follows, "how about the continuum mechaics in protein research".
Any discussions and advices are appreciated.
Kong 5th Sep 2007
Derivatives of the invariants of a tensor
When you first start learning finite deformation plasticity, you will run into a plastic flow rate that can be derived from a flow potential such that
| (1) |
whereis the Cauchy stress. For an isotropic material with scalar internal variables, the plastic
flow potential can be assumed to have the form
an interesting puzzle: multiscale mechanics
an interesting puzzle for fun:
Lame’s classical solution for an elastic 2D plate, with a hole of radius a and uniform tensile stress applied at the far field, gives a stress concentration factor (SCF) of two at the edge of the hole. This SCF=2 is independent of the hole radius.
Consider what happened to this concentration factor if the radius a approaches infinitely small. The SCF is independent of a, so it remains equal to two even when the hole disappears.