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Boundary Value Problems in Linear Viscoelasticity (Paperback, Softcover reprint of the original 1st ed. 1988)
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Boundary Value Problems in Linear Viscoelasticity (Paperback, Softcover reprint of the original 1st ed. 1988)
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The classical theories of Linear Elasticity and Newtonian Fluids,
though trium phantly elegant as mathematical structures, do not
adequately describe the defor mation and flow of most real
materials. Attempts to characterize the behaviour of real materials
under the action of external forces gave rise to the science of
Rheology. Early rheological studies isolated the phenomena now
labelled as viscoelastic. Weber (1835, 1841), researching the
behaviour of silk threats under load, noted an instantaneous
extension, followed by a further extension over a long period of
time. On removal of the load, the original length was eventually
recovered. He also deduced that the phenomena of stress relaxation
and damping of vibrations should occur. Later investigators showed
that similar effects may be observed in other materials. The German
school referred to these as "Elastische Nachwirkung" or "the
elastic aftereffect" while the British school, including Lord
Kelvin, spoke ofthe "viscosityofsolids." The universal adoption of
the term "Viscoelasticity," intended to convey behaviour combining
proper ties both of a viscous liquid and an elastic solid, is of
recent origin, not being used for example by Love (1934), though
Alfrey (1948) uses it in the context of polymers. The earliest
attempts at mathematically modelling viscoelastic behaviour were
those of Maxwell (1867) (actually in the context of his work on
gases; he used this model for calculating the viscosity of a gas)
and Meyer (1874)."
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