Boundary Value Problems in Linear Viscoelasticity

George A. C. Graham

ISBN 10: 3662061589 / ISBN 13: 9783662061589

Published by Springer Berlin Heidelberg Jul 2013, 2013

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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). 284 pp. Englisch.

Seller Inventory # 9783662061589

Bibliographic Details

• Title: Boundary Value Problems in Linear Viscoelasticity
• Publisher: Springer Berlin Heidelberg Jul 2013
• Publication Date: 2013
• Language: English
• ISBN 10: 3662061589
• ISBN 13: 9783662061589
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 244W x 170H x 16D millimeters 244 millimeters width by 170 millimeters height by 16 millimeters depth
• Weight: 495 grams

About this title

Synopsis

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).