Skip to main content

Blog posts

Thin plate theory...

Submitted by ramdas chennamsetti on

Hi all!

I have a small doubt in the assumptions made in thin plate theory.

We make some of the following assumptions in thin plate theory (Kirchoff's classical plate theory) (KCPT).

[1] The normal stress (out of plane=> sigma(z)) is zero. and

[2] The vertical deflection 'w' is not a function of 'z' => dw/dz = 0

Now there are three stress components sigma(x), sigma(y) and sigma(xy). The other three stress components sigma(z), sigma(xz) and sigma(yz). This is like a plane stress.

A method to analyze electromechanical stability of dielectric elastomer actuators

Submitted by Xuanhe Zhao on
research
suo group research
dielectric
elastomer
electromechanical instability

      This letter describes a method to analyze electromechanical stability of dielectric elastomer actuators.  We write the free energy of an actuator using stretches and nominal electric displacement as generalized coordinates, and pre-stresses and voltage as control parameters.  When the Hessian of the free-energy function ceases to be positive-definite, the actuator thins down drastically, often resulting in electrical breakdown.  Our calculation shows that stability of the actuator is markedly enhanced by pre-stresses.

Research Position at Texas Instruments (Dallas, Texas)

Submitted by Jie-Hua Zhao on
job

 
   This is a stress modeling position in TI's research
organization Silicon Technology Development (SiTD). The opening is
immediate and the position is filling very fast. Minimum requirement:
MS degree in the following fields: Mechanical Engineering, Physics,
Materials Science or Engineering Mechanics. PhD degree is preferred. 
Please email your resume to Jie-Hua (Jeff) Zhao at jhzhao [at] ti.com or

Propagation of instability in dielectric elastomers

Submitted by Jinxiong Zhou on
research
suo group research
large deformation
dielectric elastomer
meshfree method
electric field
instability

When an electric voltage is applied across the thickness of a thin layer of an dielectric elastomer, the layer reduces its thickness and expands its area. This electrically induced deformation can be rapid and large, and is potentially useful as soft actuators in diverse technologies. Recent experimental and theoretical studies have shown that, when the voltage exceeds some critical value, the homogenous deformation of the layer becomes unstable, and the layer deforms into a mixture of thin and thick regions.

Mixed-mode flaws modelling at nanoscale in cell membrane system by time-domain hypersingular integral equation method

Submitted by BoJing Zhu on
research

Cell membrane system has the protein-lipid-protein sandwich type structure. The membrane nanocomposites (PLP-MNs) typically exhibit pronounced nonlinear viscoplastic response under electro-thermo-elastic coupled incremental loads conditions. These extended coupled incremental loads can cause high extended incremental stresses and may induce flaws initiation, growth and finally lead to fracture or failure of nanocomposites.

Why lionize mathematics in science/engineering?

Submitted by Ajit R. Jadhav on
opinion
education
physics
primacy of induction
floating abstractions
mathematics

This has reference to (only) the *last paragraph* in Prof. Harry Lewis' recent post, found at: node/1423#comment-2880.

The reason I write the present post is because I always seem to have had a view of inventing, learning, or teaching mathematics that is remarkably at odds with what Prof. Lewis' last paragraph *seems* to imply.

Subscribe to Drupal blog posts