Love, Augustus Edward Hough
Published:January 01, 2007
Love was one of four children and the second son of John Henry Love, a surgeon of Somersetshire. He was educated at Wolverhampton Grammar School, and his subsequent career owed much to his mathematical master, the Reverend Henry Williams.
He entered St. John’s College, Cambridge, in 1882. He was a fellow of St. John’s College from 1886 to 1889 and held the Sedleian chair of natural philosophy at Oxford from 1899 on. He was elected a fellow of the Royal Society of London in 1894. Love was secretary of the London Mathematical Society for fifteen years and president in 1912–1913. He was noted as a quiet, unassuming, brilliant scholar, with a logical and superbly tidy mind. He liked traveling, was interested in music, and played croquet. He never married; a sister, Blanche, kept house for him.
Love’s principal research interests were the theory of deformable media, both fluid and solid, and theoretical geophysics. He also contributed to the theory of electric waves and ballistics, and published books on theoretical mechanics and the calculus.
Love’s first great work, A Treatise on the Mathematical Theory of Elasticity, appeared in two volumes in 1892–1893. A second edition, largely rewritten, appeared in 1906 and was followed by further editions in 1920 and 1927. This treatise, translated into several foreign languages, served as the world’s standard source on the subject for nearly half a century. It is a masterpiece of exposition and stands as a classic in the literature of mathematical physics. It continues to
Figures & Tables
Classics of Elastic Wave Theory
In this chapter, we give a brief synopsis of each of the classic papers referred to in this collection. Where relevant, we reproduce the basic equations, recast in modern notation. Supporting works also are referred to. They are listed in the “General References” section.
Table 1 is a quick outline of the key contributions of each paper reprinted in this book.
Robert Hooke, “Potentia Restitutiva, or Spring” (Oxford, 1678)
The article by Robert Hooke, “Potentia Restitutiva, or Spring,” contains the statement of the proportional relation between stress and strain universally referred to as Hooke’s law. Although the English language has evolved somewhat since 1678, the article does not require translation. Hooke describes a variety of experiments, accompanied by illustrations, confirming the stress/strain relation over a wide range of applied loads. He emphasizes the great generality of his results.
Based on his experimental work from 1660 onward, Hooke first published his law in 1676 in the form of an anagram in Latin,
which he later revealed to be “ut tensio sic vis.” Roughly translated, this means “as the force, so is the displacement” (Love, 1911; Boyce and DiPrima, 1976).
In his treatise, Hooke examined the behavior of springs, so his first casting of the equations dealt with the restoring force on a spring, for a given displacement: