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The pioneering and wide-ranging research of A. E. Green--one of the
outstanding British researchers in theoretical and applied
mechanics--is the subject of this important new volume. Featuring
sixteen up-to-date research papers written by his eminent
colleagues and friends, the book covers a variety of topics from
thermodynamics to problems associated with crystals; linear,
nonlinear and fibre-reinforced elastic materials; and viscoplastic
and granular materials. Perfect for students and researchers alike,
Nonlinear Elasticity and Theoretical Mechanics is a superb tribute
to the work of one of England's great scientists.
Reissue of Encyclopedia of Physics / Handbuch der Physik, Volume
VIa The mechanical response of solids was first reduced to an
organized science of fairly general scope in the nineteenth
century. The theory of small elastic deformations is in the main
the creation of CAUCHY, who, correcting and simplifying the work of
NAVIER and POISSON, through an astounding application of conjoined
scholarship, originality, and labor greatly extended in breadth the
shallowest aspects of the treatments of par ticular kinds of bodies
by GALILEO, LEIBNIZ, JAMES BERNOULLI, PARENT, DANIEL BER NOULLI,
EULER, and COULOMB. Linear elasticity became a branch of
mathematics, culti vated wherever there were mathematicians. The
magisterial treatise of LOVE in its second edition, 1906 - clear,
compact, exhaustive, and learned - stands as the summary of the
classical theory. It is one of the great "gaslight works" that in
BOCHNER'S words! "either do not have any adequate successor[ s] . .
. or, at least, refuse to be super seded . . . ; and so they have
to be reprinted, in ever increasing numbers, for active research
and reference", as long as State and Society shall permit men to
learn mathe matics by, for, and of men's minds. Abundant
experimentation on solids was done during the same century. Usually
the materials arising in nature, with which experiment most justly
concerns itself, do not stoop easily to the limitations classical
elasticity posits.
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