By Philippe G. Ciarlet
This monograph offers the fundamental theorems of differential geometry in three-d area, together with an intensive assurance of floor thought. via a chain of rigorously chosen and consultant mathematical versions this monograph additionally explains at size how those theorems are utilized in three-d elasticity and in shell idea. The presentation is basically selfcontained, with an excellent emphasis on pedagogy. specifically, no "a priori" wisdom of differential geometry or of elasticity thought is believed, the single specifications are an affordable wisdom of uncomplicated research, sensible research, and a few acquaintance with usual and partial differential equations.
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Extra resources for An Introduction to Differential Geometry with Applications to Elasticity
D. V. Rosato, Rosato’s Plastics Encyclopedia and Dictionary, Hanser Publishers, Munich, 1993. J. C. , Polymer Materials Encyclopedia, CRC Press, Boca Raton, FL, 1996. D. W. , Elsevier, Amsterdam, 1997. C. , Marcel Dekker, New York, 2000. T. Whelen, Polymer Technology Dictionary, Chapman and Hall, London, 1992. E. S. , Industrial Polymers Handbook, Vol. 1– 4, Wiley-VCH, Weinheim, 2001. G. , William Anderson, Norwich, NY, 1999. org The American Chemical Society Polymer Education Committee site: http://www.
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It is highly crystalline, with a melting temperature of about +265°C. Another well-known series of polymers made by step polymerization reactions is the polyamides, known widely as the nylons. In fact there are two series of nylons. In the first series, the monomer has an amine at one end of the molecule and a carboxyl at the other. 14) O CH2 CH2 C n OH + (n – 1)H2O which is known as nylon 4. The number 4 indicates the number of carbon atoms in the mer. 15) OH + (2n – 1)H2O n which is named nylon 48.
An Introduction to Differential Geometry with Applications to Elasticity by Philippe G. Ciarlet