Blog posts
1D Plasticity - Isotropic hardening, tutorial with examples.
For those who may be interested,
I have put together a paper describing 1D plasticity for a variety of cases of isotropic hardening. The material is not new, but hopefully it is written with enough detail that it will help beginners learn some basics of computational plasticity. The notation and material closely follows "Computational Inelasticity" written by Simo and Hughes.
First order linear system
A linear (hyperbolic) first-order system has to be solved using Finite Elements.
As I understand usually non-standard discretizations are used in this case (Discontinuous Galerkin for example).
What is the reason for this? Can such an equation be modeled using standard Galerkin methods (say, linear finite elements)?
Would standard Galerkin discretization cause instability of the solution?
Thanks,
Daniel
Spring stiffness of a helical spring
Once in a while I have to find the stiffness of a spring that I get from the local hardware shop. I usually use a formula that can be found in some books on mechanics of materials.
But the assumptions bother me a bit because the springs that I used usually underwent large deformations and I wasn't sure whether the numbers I was using were correct or not.
To check the formula I compared its predicted k to numbers from Abaqus simulations and found reasonably good results for many situations - but not for soft springs.
Looking for a PhD student
I'm looking for a PhD student to work in the area of solid mechanics, specifically applied mathematics in linear elasticity using complex variable methods and/or boundary integral equation methods.
I'm a professor in Department of Mechanical Engineering at the University of Alberta in Edmonton, Alberta, Canada (although I am an applied mathematician by training).
You can find out more at: www.mece.ualberta.ca/~schiavone/schiavon.htm
A mathematician's take on "what is light?"
Attached is an intriguing commentary on the scientific method through an example, written by my good friend, Luc Tartar. The specific example is that of trying to understand what 'light' might be, especially from a mathematician's point of view. The mathematician in this case is an extremely talented one, who also happens to actually understand a whole lot of physics and mechanics.
Simulation blast in soil by Abaqus
Hello;
H am simulate in ABAQUS a blast in soil.
If in Explicit simulate what is interaction define between TNT & soil?
If simulate by CFD , equation *EOS have not want define.
which way is better?
Thanks.
Mechanics in space (and High School): Lego Man's balloon voyage, or Lego Man in space
For an interesting news article about the mechanics behind Lego Man's balloon voyage to space, read the Toronto Star article by Mary Ormsby. She writes, "A 1,200-gram weather balloon, the crucial role of gravity, quiver-reducing ropes, Styrofoam’s versatility, burst altitude, a University of Wyoming website and a free software program for shutterbugs were part of the formula Mathew Ho and Asad Muhammad, both 17, used to launch, film and land the patriotic, flag-bearing Lego Man..."