What Are the Key Classic Resources on Membrane Mechanics?

[Steven Wang]

I am interested in membrane recently.Can someone show the abc knowledge about membrane. I major in mechanics and I concern about the maths, physics and mechanics of membrane. Can somebody recommend some classic books and articles about this subject. Thanks.

 

[Drakkith]

What exactly are you referring to when you say Membrane?

 

[Steven Wang]

Sorry, I mean the membrane structure, like soap-bubble...

 

[Drakkith]

Alright, I wasn't sure if you were talking about something physical like a soap bubble, or something crazy theoretical. =)

 

[Steven Wang]

I am really interested in both them. I also want to make some connection between the real membrane structure and the crazy theoretical things. Can you make some suggestion. Thank you very much.

 

[Andy Resnick]

I'm still confused by what you mean.

A good reference for biological membranes (cell membranes, etc) is Sten-Knudsen's "Biological Membranes". Some good references for interfacial dynamics (membranes consist of two interfaces) are Slattery's "Interfacial Transport Phenomena" and Edwards, Brenner,and Wasan's "Intefacial Transport Processes and Rheology".

Soap bubbles and minimal surfaces in general are covered fairly well in Osserman's "A Survey of Minimal Surfaces".

Finally there is a considerable amount of work being done on flowing soap films as a model system.

http://www.mae.buffalo.edu/research...lab/Flowing soap films/Flowing soap films.htm

Can you be a little more specific?

 

[Steven Wang]

Thank you very much. I just know some basic concepts about membrane. In theoretical physics and maths, there are some theory about membrane(in string theory or relative theory, I'm not sure). For example, there exist a surface whose area is the smallest surface that bound with a given space curve, is that true? and also the surface tension about the membrane structure. I also know that there are some membrane structures in biology and architecture engineering.
So I want to know what people concerns about membrane and what they have done. How they deal with a membrane structure in physics, and what theory can they have in mathematics.
Again thanks.