A Treatise on the Mathematical Theory of Elasticity Quotes
Elasticity (physics), History of mathematics, Physics books, Mathematics books
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“Engineering”
“History of science”
“A History of the Theory of Elasticity and of the Strength of Materials”
“A Treatise on the Mathematical Theory of Elasticity (1906)”
“A Treatise on the Mathematical Theory of Elasticity (1892) Vol. 1”
“Wikisource: A Treatise on the Mathematical Theory of Elasticity”
“[D]iscussions... concerning the number and meaning of the elastic constants have thrown light on most recondite questions concerning the nature of molecules and the mode of their interaction.”
“Whenever, owing to any cause, changes take place in the relative positions of the parts of a body the body is said to be "strained." A very simple example of a strained body is a stretched bar.”
“Augustus Edward Hough Love, MacTutor History of Mathematics archive, University of St Andrews.”
“Clausius criticized the restrictive conditions which Cauchy imposed upon the arrangement of his material points, but he argued that these conditions are not necessary for the deduction of Cauchy's equations.”
“As soon as the notion of a flexural couple proportional to the curvature was established it could be noted that the work done in bending a rod is proportional to the square of the curvature.”
“At a later date Cauchy extended his theory to the case of crystalline bodies, and he then made use of the hypothesis of material points between which there are forces of attraction or repulsion.”
“[Love's] early books on elasticity, theoretical mechanics, and calculus have been used by many generations of students, whilst the much enlarged edition of his Treatise on Elasticity is a monumental work.”
“Let be the length before stretching, and the length when stretched. Then is a number (generally a very small fraction) which is called the extension...”
“As an experimental basis for Hooke's Law [Stokes] cited the fact that bodies admit of being thrown into states of isochronous vibration.”
“The conditions of rupture or rather of safety of materials are as yet so little under stood that it seemed best to give a statement of the various theories that have been advanced without definitely adopting any of them.”
“The student without previous acquaintance with the subject is advised in all cases to provide the required proofs. It is hoped that he will not then fail to understand the subject for lack of examples, nor waste his time in mere problem grinding.”
“From Hooke's Law and from considerations of symmetry [Stokes] concluded that pressure equal in all directions round a point is attended by a proportional compression without shear, and that shearing stress is attended by a corresponding proportional shearing strain.”