Abstract
Although pertaining to specific aspects of the development of continuum mechanics in the period of interest, it happens that this coincides with a technical expertise in applied mathematics particularly well cultivated in the United Kingdom, hence, an unavoidable regional bias in spite of the international nature of science. The prevailing influence of some institutions such as the University of Cambridge is obvious, while, unexpectedly, research fostered by technical problems met during the Second World War, also had a strong influence on the selection of projects. A recurring theme is a specific interest in mathematical problems posed by the theory of elasticity, no doubt a consequence of the enduring influence of past “elasticians” of great mathematical dexterity among whom A.E.H. Love must be singled out. A clear-cut emphasis was placed on problems dealing with the existence of field singularities such as happens with cracks, dislocations, and other material defects. Here great names are those of A.A. Griffith, Ian Sneddon, “Jock” Eshelby, and A.N. Stroh. Simultaneously, an “immoderate” but fruitful taste for problems of elastic wave propagation with applications in both mechanics and geophysics was demonstrated and still remains a subject of attraction. Furthermore, a geometrical approach to defect theory was proposed by a group around Bruce Bilby, while Rodney Hill produced among the most powerful results in plasticity theory and homogenisation procedure. Still it is the mathematical dexterity and elegance allied to a deep physical insight that best characterizes most of these works.
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Maugin, G.A. (2013). The British School of Elasticity, Plasticity and Defects: Applied Mathematics. In: Continuum Mechanics Through the Twentieth Century. Solid Mechanics and Its Applications, vol 196. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6353-1_6
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