Cohesive Surface Description of Crack Tip Dislocation Nucleation

3 Cohesive Surface Description of Crack Tip Dislocation Nucleation 

Historic Examples of Multiscale Modeling The treatment of discrete and continuous representations of the vibrating string in Mathematical Thought from Ancient to Modern Times by Morris Kline, Oxford University Press, New York New York 1972, is enlightening. Here it is evident that both the continuous and discrete representations had features that recommended them as the basis for further study. 

Newton s Principiafor the Common Reader by S. Chandrasekhar, Clarendon Press, Oxford England, 1995 is one of my prized possessions. Chandrasekhar has an interesting discussion of the variety of theorems sinrounding Newton s treatment of the earth as a point mass. 

Statistical Physics and the Atomic Theory of Matter by S. G. Brush, Princeton University Press, Princeton New Jersey, 1983. The interplay between statistical mechanics and thermodynamics is perhaps the greatest single success story in the type of modeling described in this chapter. Brush s book makes for fascinating and instructive reading (as do his other books) since they illustrate the intense growing pains that were suffered in order to convert profound science into what are now little more than textbook exercises. 

Long Range Order in Solids by R. M. White and T. H. Geballe, Academic Press, New York New York, 1979. This book offers a number of perspectives on the generic role of Ginzburg-Landau approaches in condensed matter physics. Chapter II gives a broad-based and interesting discussion of Landau theory with an attempt to show the unity of the approach in the context of a diverse set of applications. 

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