Lianhua Ma's blog
How to understand the shear modulus of polymers
Submitted by Lianhua Ma on Fri, 2010-12-10 06:56.Hi everybody,
I have a question about the shear modulus of polymers. As we know, the general engineering polymers (rubbers) are highly extensible and elastic. The shear modulus,G, for the polymers subjected to the small-strain conditions, can be defined by G=NkT, where N is the number of network chains, k is Boltzmann's constant and T is temperature in Kelvins.
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Maxwell stress of a dielectric elastomer subjected to electric field
Submitted by Lianhua Ma on Sat, 2010-03-13 05:38.
Hello everyone,
As reported in some references, Maxwell stress of a dielectric elastomer subjected to electric field can be determined by the following formula
P=e*E^2 (1) -------e=e0*e1, e0 is the dielectric permittivity of vacuum, e1 is the relative dielectric permittivity of the elastomer, and E is the applied electric field.
However I found another expression from “Electrodynamics of Continuous Media”. (Landau and E.M. Lifshitz.,Course of Theoretical Physics. Vol. 8. 2nd Edition. Butterworth-Heinemann. Oxford. 1984. L.D. ), which is described as follow,
(sigma)ik=(e/4/pi)(EiEk-1/2E^2 deltaik) -(2) pi=3.14
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Some problem concerning the position of increment in ABAQUS subroutines.
Submitted by Lianhua Ma on Sat, 2009-07-04 05:01.Dear all,
I have a puzzling question.
As we know, the positions of a increment in a FEM analysis ( in abaqus) include :
Deduction of derivatives of free-energy density function in ABAQUS UHYPER
Submitted by Lianhua Ma on Sat, 2009-07-04 02:33.Dear xuanhe and all,
I have reviewed the paper "Method to analyze programmable deformation of dielectric elastomer layers". (Xuanhe zhao, Zhigang Suo)
It is very insteresting.
I have one question you would like to ask you. Hope to get your reply.
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About osmotic pressure
Submitted by Lianhua Ma on Sun, 2008-12-14 08:32.Recently, I studied Prof.Suo's lecture "Advanced Elasticity", http://imechanica.org/node/725.
The following is explaination about osmosis pressure in the lecture.
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ABOUT Work done by a pressure applied to a system
Submitted by Lianhua Ma on Sun, 2008-12-14 07:50.I have one question about work done by a pressure applied to a system. The book of Thermodynamics often always present pdV (where dV is the change in the volume of the system. )but never Vdp, Why is that? Is it because we don't treat p as a variable? In a grand canonical ensemble is pressure constant for any system?
Acording to Thermodynamics first law, du=dq-dw , where dw denotes work done by pressure and external force. dw=pdv+dw' . dq=Tds (Thermodynamics second law)
so, dU=TdS-Pdv-dw'
finally, dG=vdp-sdT-dw'
if we can treat p as a variable, then vdp denotes what?
Cell mechanics-----Soft Tissue (MICROSCOPIC BIOMECHANICS )
Submitted by Lianhua Ma on Mon, 2007-10-15 04:28.The cells of our bodies represent a very large class of systems whose structural components often are both comlex and soft. Most cells have a complex internal structure of biological rods,ropes and sheets.
cell mechanics is vital to tissue formation!
I need some introductory materials to be familiar with cell mechanics and soft tissues in biomechanics. I will appreciate your help and guidance!
Best
Marc
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continuity e.q.,equilibrium e.q. ,N-S , constitutive e.q. for elastic solid and compressible fluid in the space-frequency domain
Submitted by Lianhua Ma on Mon, 2007-10-15 02:08.continuity e.q.,equilibrium e.q. ,N-S , constitutive e.q. for elastic solid and compressible fluid in the space-frequency domain, as shown in the following Fig.
i don't understand how can this author deduce? why v=iwu? is this assumption? why is this necessary? thanks for your help and guidance!
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