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Coupled phase transformations and plasticity as a field theory of deformation incompatibility

Submitted by Amit Acharya on

(to appear in International Journal of Fracture; Proceedings of the 5th Intl. Symposium on Defect andMaterial Mechanics)

Amit Acharya and Claude Fressengeas

Force to Expel Water from Between Two Plates

Submitted by Helen A. A. on

Hello,



I was wondering if anyone knew the equation to find the necessary clamping force to expel a saline solution out from between two parallel plates. I would like the most general form of the equation if possible, but will provide more details if necessary.



Thanks!



:)



Helen

Effect of temperature on the stability of dielectric elastomers

Submitted by Bo Li on

Dielectric elastomer (DE) is a kind of electroactive polymer material,
capable of large deformation up to 380%. However, under conservative
operating conditions, DE is susceptible to instability with a small
deformation due to various modes of failure, including electrical
breakdown, electromechanical instability (EMI), loss of tension and
rupture by stretch. This paper proposes a free energy model in the
thermodynamic system of DE involving thermoelastic strain energy,
electric energy and purely thermal contribution energy to obtain the
stability conditions of all failure modes. The numerical results
indicate that the increase in temperature can markedly contribute to
improving the entropy production, the actuation stress and the critical

Time-averaged coarse variables for multiscale dynamics

Submitted by Amit Acharya on

(to appear in Quarterly of Applied Mathematics)

by Marshall Slemrod and Amit Acharya

Given an autonomous system of Ordinary Diff erential Equations without an a priori split into slow and fast components, we defi ne a strategy for producing a large class of `slow' variables (constants of fast motion) in a precise sense. The equation of evolution of any such slow variable is deduced. The strategy is to rewrite our system on an in finite dimensional "history" Hilbert space X and defi ne our coarse observation as a functional on X.

Mechanics and chemical thermodynamics of phase transition in temperature-sensitive hydrogels

Submitted by Cai Shengqiang on

This paper uses the thermodynamic data of aqueous solutions of uncrosslinked poly(N-isopropylacrylamide) (PNIPAM) to study the phase transition of PNIPAM hydrogels.  At a low temperature, uncrosslinked PNIPAM  can be dissolved in water and form a homogenous liquid  solution.  When the temperature is increased, the solution separates into two liquid phases with different concentrations of the polymer.   Covalently crosslinked PNIPAM, however, does not dissolve in water, but can imbibe water and form a hydrogel.  When the temperature is changed

See while you Measure: In-situ Studies in Mechanics (September Journal Club Topic)

Submitted by Aman Haque on

*Participation to this club is as easy as i) sending a reference/abstract of your paper if you are working in this area or ii) send a challenge concept/issue/expt if you are not experimentalist :)*  

Problem of Model Verification for a Curved Beam Model

Submitted by Jia-Jie Guo on

Dear all,

I have a problem in model verification for a curved beam model. I have formulated an Euler-Bernoulli beam model similar to the following paper (refered as Pai's model), but employing Euler angle description.

         Pai,
P.F., Palazotto, A.N., 1996, “Large-deformation analysis of flexible beams,” International Journal of Solids Structures,
33(9), pp. 1335-1353.

Calculate height of hydraulic fracture

Submitted by Kan Wu on
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I need to calculate the height of hydraulic fracture using P3D and the width in the vertical direction. The width in the lateral direction is computed by displacement discontinuity method. These two widthes are totally different calculated by my coding. Please give me some advice.