research
Non-planar crack growth (X-FEM and fast marching)
In the attached manuscript, we have coupled the extended finite element method (X-FEM) to the fast marching method (FMM) for non-planar crack growth simuations. Unlike the level set method, the FMM is ideally-suited to advance a monotonically growing front. The FMM is a single-pass algorithm (no iterations) without any time-step restrictions. The perturbation crack solutions due to Gao and Rice (IJF, 1987) and Lai, Movchan and Rodin (IJF, 2002) are used for the purpose of comparisons.
Stretching and polarizing a dielectric gel immersed in a solvent
This paper studies a gel formed by a network of cross-linked polymers and a species of mobile molecules. The gel is taken to be a dielectric, in which both the polymers and the mobile molecules are nonionic. We formulate a theory of the gel in contact with a solvent made of the mobile molecules, and subject to electromechanical loads. A free-energy function is constructed for an ideal dielectric gel, including contributions from stretching the network, mixing the polymers and the small molecules, and polarizing the gel.
Research Directions in Computational & Composite Mechanics
A Report of the United States National Committee on Theoretical and Applied Mechanics (USNC/TAM), June 2007
interface cohesive energy
Many people here are interested in the behaviours of interfaces.
I am interested in having a list of the cohesive energy for interfaces between different materials, such as polymer/ceramics, polymer/metals, polymer/polymer, metals/ceramics, biological interfaces, carbon nanotube/polymer matrix, etc.
So, what is the magnitude of the cohesive energy per unit area of the interface you are studying?
A MD simulation of nano-void growth in Copper under uniaxial tension
Recentely we did a MD simulation work on the nano-void growth in Copper, welcome to my blog for any discussion..
Meshless methods
I want to study dynamic response of plates using element free galerkin method. But i have difficulty imposing essential boundary conditions. I have tried Chen's full transformation method. Can someone tell me how to impose essential boundary condition to solve eigen value problems?
FEMLAB-COMSOL Multiphysics
Hi,
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