A Mixed Boundary Value Problem in Viscoelasticity with Time-dependent Boundary Regions PDF Download
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Author: T. C. T. Ting
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
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Book Description
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: T. C. T. Ting
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
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Book Description
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:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 122
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Book Description
![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: G. A. C. Graham
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 44
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Book Description
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: G. A. C. Graham
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 18
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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:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 704
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Book Description
Author: R. M. Christensen
Publisher: Courier Corporation
ISBN: 0486318966
Category : Technology & Engineering
Languages : en
Pages : 386
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Book Description
Integration of theoretical developments offers complete description of linear theory of viscoelastic behavior of materials, with theoretical formulations derived from continuum mechanics viewpoint and discussions of problem solving. 1982 edition.
Author:
Publisher:
ISBN:
Category : Naval research
Languages : en
Pages : 476
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Book Description
Author: Wolfgang Grellmann
Publisher: Springer Science & Business Media
ISBN: 3642379109
Category : Science
Languages : en
Pages : 310
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Book Description
Elastomers are found in many applications ranging from technology to daily life applications for example in tires, drive systems, sealings and print rollers. Dynamical operation conditions put extremely high demands on the performance and stability of these materials and their elastic and flow properties can be easily adjusted by simple manipulations on their elastic and viscous properties. However, the required service life suffers often from material damage as a result of wear processes such as abrasion and wear fatigue, mostly caused by crack formation and propagation. This book covers interdisciplinary research between physics, physical chemistry, material sciences and engineering of elastomers within the range from nanometres to millimetres and connects these aspects with the constitutive material properties. The different chapters describe reliable lifetime and durability predictions based on new fracture mechanical testing concepts and advanced material-theoretical methods which are finally implemented in the finite element method for structural simulations. The use of this approach allows a realistic description of complex geometrical and loading conditions which includes the peculiarities of the mechanical behaviour of elastomeric materials in detail. Furthermore, this approach demonstrates how multi-scale research concepts provide an ambitious interdisciplinary challenge at the interface between engineering and natural sciences. This book covers the interests of academic researchers, graduate students and professionals working in polymer science, rubber and tire technology and in materials science at the interface of academic and industrial research.
