I have a problem in my research that involves a platinum electrode which will form bubbles of hydrogen gas.  Bubbles sticking to the electrode is expected to be a problem, and one method of dealing with this is to induce resonant vibrations in the electrode.  These vibrations can be excited by running an alternating current through the electrode, which produces physical forces through electromagnetic interactions.

I plan to model several electrode shapes in ABAQUS with the aim of extracting the applicable resonant frequencies.  I will also try to investigate how these frequencies are affected by different scaling factors. 

References:

Project Description:

Although this is a class in solid mechanics, I chose a project which focuses on fluid dynamics. I did this because I think this project will be very educational with respect to the Finite Element Analysis and mechanics in general.

Please see the attached file for details.

Finished BashringUnfinished Bashring Mounted on Crank

The biology of the inversion process in Volvox carteri is examined, and a coupled mechanical and kinetic model is proposed.  See attached proposal for details. The presentation given is also attached here, as well as the final paper.  Also, a movie of the simulation that made all of the work wroth while, the inversion of a half-sphere, is attached here as well.  Note: The file inversion2bw.doc is a movie, just download it and change the extension to .avi.  This has to be done since iMechanica doesn't allow attachment of .avi files directly.

This is my final project.

Attached please find my final project.

This is the pdf file for the final project given by Andew and Lei.

Here is the powerpoint of the final project, presented by Stevie Steiner and myself.

Attached is a PDF version of the PowerPoint presentation from our final project, titled "Viscous Deformation of a Quartz Tube Caused by Furnace Malfunction:  Analysis and Modeling".

See Attached

Lei and I will be working on developing the appropriate relations and numerical methods for topological optimization of  2D ideal structures.  In this constraint-based optimization study we will try to determine the density distribution which minimizes the strain energy for a fixed volume of material.  This problem is a subset of the so-called "G-closure" problem in topological optimization where we have restricted our possible configurations to certain ideal geometries.   

HI all

     I am Karthikeyan pursuing my
M.S in Rotating Machinery Design. Its high time for me to take up the
project. So I decided to take my project in Fracture or Fatigue. I am
interested in Thermal fiels also. So I would like to do my project in
Thermal Fatigue fracture side. So I would like to get your suggestions
and some topics to take out work.

    I am
interested in coding also so if anybody give guidelines to develop an
element for this analysis then I will be grateful for them.

With Regards

Karthikeyan.G 

Find attached my powerpoint presentation and my report.

I plan to explore the Saint-Venant torsion problem applied to prismatic bars with elastic-plastic behavior. Wagner and Gruttmann have developed a finite element method to obtain the elastic/plastic stresses of a bar using a single load step. In particular, I will present the constitutive model that they have developed, and then use ABAQUS to apply Wagner and Gruttmann’s model to various cross-sections. I will try to reproduce their results for some simple cross-sections, as well as exploring some more complicated cross sections. I will compare my numerical results with analytical results for the various cross-sections.

The mechanical performance of a homogeneous material can be varied by the addition of second-phase particles. In this project, we will model a planar composite under plastic deformation. As shown on the following figure, the composite consists of matrix material and randomly-distributed inclusion particles. The matrix is assumed to be an elastic-plastic material with isotropic or kinematic hardenings, and the inclusion particle pure elastic with a higher Young’s modulus. The stress/strain field throughout the composite will be calculated numerically with finite element method. The effective constitutive behavior of the composite will be evaluated and compared with theoretical and experimental results from literature [1, 2].

Due to maturity of FEM package, slip-line field theory is not widely used these days. However, we shall keep in mind that slip-line field analysis can provide analytical solutions to a number of very difficult problem which may involve huge deformations or velocity discontinuities, e.g. many metal forming processes. To evaluate these two analytical and numerical methods for plasticity I will try a simple example, compare these two solutions and finally get into a conclusion of my own.

I guess it's time that I cite some papers that are relevant to what I am looking at. A paper byL.Mahadevan et al.: Elements of draping
and another one
Confined elastic developable surfaces: cylinders, cones and the elastica,

http://imechanica.org/node/add/imageI propose to investigate an elastic-viscoplastic constitutive model proposed by Anand and Gurtin [1] for the large deformation of amorphous solids.  Specifically, I will present the constitutive framework proposed for elastic-plastic amorphous materials, I will implement the constitutive equations into Abaqus/Explicit, and I will compare numerical results with experimental results for polycarbonate [2]. 

3 Papers that might be useful for Will Adam's final project (attached)

We studied in class the phenomenon of resonance in forced, damped oscillators.  The mass and stiffness of a one-dimensional oscillator give rise to a natural frequency of oscillations known as the resonance frequency.  With no damping, energy input at this frequency accumulates and the amplitude of vibrations increases.

The phenomenon of resonance generalizes to linear elastic materials with many more (ie infinite) degrees of freedom: energy input at a natural frequency of vibration will accumulate and result in increasing amplitude of vibration.  The natural frequency in this case is determined by material properties (ie Young's modulus) and the geometry and dimensions of the object (ie a wine glass).  With so many degrees of freedom, the resonance frequency of common objects may be impossible to calculate exactly and it may be necessary to use the finite element method to investigate resonance.

The cardiac myocyte is the basic contractile unit of the heart. In addition to potentiating contraction through chemical and electrical means, each myocyte is a complex sensor that monitors the mechanics of the heart. Through largely unknown means, mechanical stimuli are transduced into biochemical information and responses. Such mechanotransduction has been implicated in the etiology of many cardiovascular pathologies [1]. One such mechanical parameter that the myocyte most likely monitors is the hydrostatic pressure in the myocardium.