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Author: Gary Charles Wesley Sabin
Publisher: National Library of Canada
ISBN:
Category : Boundary value problems
Languages : en
Pages : 122
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![The Solution of Mixed Boundary Value Problems in Linear Viscoelasticity that Involve Time-dependent Boundary Regions [microform] PDF](https://books.google.com/books/content/images/frontcover/9p9QNAEACAAJ?fife=w80-h100)
Author: Gary Charles Wesley Sabin
Publisher: National Library of Canada
ISBN:
Category : Boundary value problems
Languages : en
Pages : 122
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Book Description
Author: Gary Charles Wesley Sabin
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 122
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Book Description
Author: John M. Golden
Publisher: Springer Science & Business Media
ISBN: 3662061562
Category : Science
Languages : en
Pages : 276
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Book Description
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).
Author: T. C. T. Ting
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
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A correspondence principle of linear viscoelasticity theory for mixed boundary value problems with time-dependent boundary regions was studied by Graham in which the associated elastic solutions are required to satisfy certain restricted conditions. In this paper a generalized correspondence principle is given in which no restrictions are imposed on the associated elastic solutions. The results can be extended to thermo-rheologically simple viscoelastic media if the temperature field is either purely position-dependent or purely time-dependent. (Author).
Author: Gary Charles Wesley Sabin
Publisher: 1975.
ISBN:
Category :
Languages : en
Pages : 264
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Author: G. A. C. Graham
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 18
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Author: G. A. C. Graham
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 44
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The correspondence principle of the thermoviscoelastic theory of materials whose behaviour is thermorheologically simple is extended to accommodate certain mixed boundary value problems, that involve time-dependent boundary regions. The extended correspondence principle is used to determine the solution to the axisymmetric problem that arises when a rigid axisymmetric body of curved surface is pressed against the bounding plane of a viscoelastic half space which is under the influence of a uniform time-dependent temperature field. (Author).
Author: John M. Golden
Publisher: Berlin : Springer-Verlag
ISBN: 9780387186153
Category : Science
Languages : en
Pages : 0
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Author: G. A. C. Graham
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 74
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This paper presents a solution to the boundary value problem arising when a rigid punch of arbitrary asymmetric profile is pressed against the surface of a linear viscoelastic half space. The solution, which is valid for a continuously varying contact area with an arbitrary number of montonic increasing maxima and null minima, is expressed in terms of the one parameter family of solutions to the corresponding problem for an elastic half space. The shape of the contact area is always the same as that of some member of the one parameter family of contact areas associated with the corresponding elastic problem. It is shown how the solution may be used to generate specific results for the case of an axisymmetric punch of arbitrary smooth profile. Finally a generalization to viscoelasticity theory of Hertz's theory of the contact of smooth elastic bodies valid for a variable contact area with any number of maxima and minima is given.
Author: Jürgen Mark
Publisher:
ISBN: 9783826581823
Category :
Languages : en
Pages : 102
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