The Correspondence Principle of Linear Viscoelasticity Theory for Mixed Boundary Value Problems Involving Time-dependent Boundary Regions PDF Download
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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 : 18
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Book Description
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: 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: R. M. Christensen
Publisher: Courier Corporation
ISBN: 0486318966
Category : Technology & Engineering
Languages : en
Pages : 384
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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: 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: J. Balaš
Publisher: Elsevier
ISBN: 148329174X
Category : Technology & Engineering
Languages : en
Pages : 699
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Book Description
The boundary element method is an extremely versatile and powerful tool of computational mechanics which has already become a popular alternative to the well established finite element method. This book presents a comprehensive and up-to-date treatise on the boundary element method (BEM) in its applications to various fields of continuum mechanics such as: elastostatics, elastodynamics, thermoelasticity, micropolar elasticity, elastoplasticity, viscoelasticity, theory of plates and stress analysis by hybrid methods. The fundamental solution of governing differential equations, integral representations of the displacement and temperature fields, regularized integral representations of the stress field and heat flux, boundary integral equations and boundary integro-differential equations are derived. Besides the mathematical foundations of the boundary integral method, the book deals with practical applications of this method. Most of the applications concentrate mainly on the computational problems of fracture mechanics. The method has been found to be very efficient in stress-intensity factor computations. Also included are developments made by the authors in the boundary integral formulation of thermoelasticity, micropolar elasticity, viscoelasticity, plate theory, hybrid method in elasticity and solution of crack problems. The solution of boundary-value problems of thermoelasticity and micropolar thermoelasticity is formulated for the first time as the solution of pure boundary problems. A new unified formulation of general crack problems is presented by integro-differential equations.
Author: Y.M. Haddad
Publisher: Springer Science & Business Media
ISBN: 9401722315
Category : Science
Languages : en
Pages : 501
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Book Description
This monograph consists of two volumes and provides a unified, comprehensive presentation of the important topics pertaining to the understanding and determination of the mechanical behaviour of engineering materials under different regimes of loading. The large subject area is separated into eighteen chapters and four appendices, all self-contained, which give a complete picture and allow a thorough understanding of the current status and future direction of individual topics. Volume I contains eight chapters and three appendices, and concerns itself with the basic concepts pertaining to the entire monograph, together with the response behaviour of engineering materials under static and quasi-static loading. Thus, Volume I is dedicated to the introduction, the basic concepts and principles of the mechanical response of engineering materials, together with the relevant analysis of elastic, elastic-plastic, and viscoelastic behaviour. Volume II consists of ten chapters and one appendix, and concerns itself with the mechanical behaviour of various classes of materials under dynamic loading, together with the effects of local and microstructural phenomena on the response behaviour of the material. Volume II also contains selected topics concerning intelligent material systems, and pattern recognition and classification methodology for the characterization of material response states. The monograph contains a large number of illustrations, numerical examples and solved problems. The majority of chapters also contain a large number of review problems to challenge the reader. The monograph can be used as a textbook in science and engineering, for third and fourth undergraduate levels, as well as for the graduate levels. It is also a definitive reference work for scientists and engineers involved in the production, processing and applications of engineering materials, as well as for other professionals who are involved in the engineering design process.
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.
Author: Gary Charles Wesley Sabin
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 122
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Book Description
Author: United States. Federal Highway Administration. Offices of Research and Development
Publisher:
ISBN:
Category :
Languages : en
Pages : 740
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Book Description
