A Course in Elasticity by B. M. Fraeijs de Veubeke (auth.)

By B. M. Fraeijs de Veubeke (auth.)

This e-book is predicated on lecture notes of the overdue Professor de Veubeke. the topic is gifted at a degree appropriate for graduate scholars in engineering, physics, or arithmetic. a few publicity to linear algebra, complicated research, variational calculus, or simple continuum mechanics will be priceless. the 1st 3rd of the ebook comprises the basics of the idea of elasticity. Kinematics of constant media, the notions of rigidity and equilibrium, conservation of strength, 'and the elastic constitutive legislation are each one taken care of first in a nonlinear context, then really good to the linear case. the rest of the publication is given to 3 vintage functions of the idea, each one supplemented via unique re­ sults in response to using advanced variables. every one of the 3 themes - Saint-Venant's conception of prismatic beams, airplane deformations, and the bending of plates - is first pre­ sented and analyzed more often than not, then rounded out with various particular and occasionally novel examples. the next notational conventions are quite often in strength, other than the place famous on the contrary: decrease case boldface letters denote vectors or triples of Cartesian co­ ordinates, higher case boldface letters denote three x three matrices, repeated reduce case Latin subscripts are summed over (1,2,3), and non-repeated decrease case Latin subscripts are assumed to variety over (1,2,3).

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