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Author: William Nichols Findley
Publisher: Courier Corporation
Published: 1989-01-01
Total Pages: 406
ISBN-13: 9780486660165
DOWNLOAD EBOOKPioneering book presents basic theory, experimental methods and results, and solution of boundary value problems. Topics include creep, stress and strain, deformation analyses, multiple integral representation of nonlinear creep and relaxation, and much more. Appendices. Bibliography.
Author: William N. Findley
Publisher: Courier Corporation
Published: 2013-01-15
Total Pages: 402
ISBN-13: 0486145174
DOWNLOAD EBOOKThis pioneering book presents the basic theory, experimental methods, experimental results and solution of boundary value problems in a readable, useful way to designers as well as research workers and students. The mathematical background required has been kept to a minimum and supplemented by explanations where it has been necessary to introduce specialized mathematics. Also, appendices have been included to provide sufficient background in Laplace transforms and in step functions. Chapters 1 and 2 contain an introduction and historic review of creep. As an aid to the reader a background on stress, strain, and stress analysis is provided in Chapters 3 and 4, an introduction to linear viscoelasticity is found in Chapter 5 and linear viscoelastic stress analysis in Chapter 6. In the next six chapters the multiple integral representation of nonlinear creep and relaxation, and simplifications to single integral forms and incompressibility, are examined at length. After a consideration of other representations, general relations are derived, then expanded to components of stress or strain for special cases. Both constant stress (or strain) and variable states are described, together with methods of determining material constants. Conversion from creep to relaxation, effects of temperature and stress analysis problems in nonlinear materials are also treated here. Finally, Chapter 13 discusses experimental methods for creep and stress relaxation under combined stress. This chapter considers especially those experimental problems which must be solved properly when reliable experimental results of high precision are required. Six appendices present the necessary mathematical background, conversion tables, and more rigorous derivations than employed in the text. An extensive updated bibliography completes the book.
Author: W.N. Findley
Publisher: Elsevier
Published: 2012-12-02
Total Pages: 382
ISBN-13: 0444601929
DOWNLOAD EBOOKCreep and Relaxation of Nonlinear Viscoelastic Materials with an Introduction to Linear Viscoelasticity deals with nonlinear viscoelasticity, with emphasis on creep and stress relaxation. It explains the concepts of elastic, plastic, and viscoelastic behavior, along with creep, recovery, relaxation, and linearity. It also describes creep in a variety of viscoelastic materials, such as metals and plastics. Organized into 13 chapters, this volume begins with a historical background on creep, followed by discussions about strain and stress analysis, linear viscoelasticity, linear viscoelastic stress analysis, and oscillatory stress and strain. It methodically walks the reader through topics such as the multiple integral theory with simplifications to single integrals, incompressibility and linear compressibility, and the responses of viscoelastic materials to stress boundary conditions (creep), strain boundary conditions (relaxation), and mixed stress and strain boundary conditions (simultaneous creep and relaxation). The book also looks at the problem of the effect of temperature, especially variable temperature, on nonlinear creep, and describes methods for the characterization of kernel functions, stress analysis of nonlinear viscoelastic materials, and experimental techniques for creep and stress relaxation under combined stress. This book is a useful text for designers, students, and researchers.
Author: Roderic S. Lakes
Publisher: CRC Press
Published: 2017-11-22
Total Pages: 476
ISBN-13: 1351355643
DOWNLOAD EBOOKViscoelastic Solids covers the mathematical theory of viscoelasticity and physical insights, causal mechanisms, and practical applications. The book: presents a development of the theory, addressing both transient and dynamic aspects as well as emphasizing linear viscoelasticity synthesizes the structure of the theory with the aim of developing physical insight illustrates the methods for the solution of stress analysis problems in viscoelastic objects explores experimental methods for the characterization of viscoelastic materials describes the phenomenology of viscoelasticity in a variety of materials, including polymers, metals, high damping alloys, rock, piezoelectric materials, cellular solids, dense composite materials, and biological materials analyzes high damping and extremely low damping provides the theory of viscoelastic composite materials, including examples of various types of structure and the relationships between structure and mechanical properties contains examples on the use of viscoelastic materials in preventing and alleviating human suffering Viscoelastic Solids also demonstrates the use of viscoelasticity for diverse applications, such as earplugs, gaskets, computer disks, satellite stability, medical diagnosis, injury prevention, vibration abatement, tire performance, sports, spacecraft explosions, and music.
Author: Roderic S. Lakes
Publisher: Cambridge University Press
Published: 2009-04-27
Total Pages: 481
ISBN-13: 052188568X
DOWNLOAD EBOOKThis graduate text on viscoelastic materials addresses design applications as diverse as earplugs, computer disks and medical diagnostics.
Author: F. J. Lockett
Publisher:
Published: 1972
Total Pages: 216
ISBN-13:
DOWNLOAD EBOOKAuthor: G. Duvant
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 415
ISBN-13: 3642661653
DOWNLOAD EBOOK1. We begin by giving a simple example of a partial differential inequality that occurs in an elementary physics problem. We consider a fluid with pressure u(x, t) at the point x at the instant t that 3 occupies a region Q oflR bounded by a membrane r of negligible thickness that, however, is semi-permeable, i. e., a membrane that permits the fluid to enter Q freely but that prevents all outflow of fluid. One can prove then (cf. the details in Chapter 1, Section 2.2.1) that au (aZu azu aZu) (1) in Q, t>o, -a - du = g du = -a z + -a z + -a z t Xl X X3 z l g a given function, with boundary conditions in the form of inequalities u(X,t»o => au(x,t)/an=O, XEr, (2) u(x,t)=o => au(x,t)/an?:O, XEr, to which is added the initial condition (3) u(x,O)=uo(x). We note that conditions (2) are non linear; they imply that, at each fixed instant t, there exist on r two regions r~ and n where u(x, t) =0 and au (x, t)/an = 0, respectively. These regions are not prescribed; thus we deal with a "free boundary" problem.
Author: A. S. Argon
Publisher: Cambridge University Press
Published: 2013-03-07
Total Pages: 535
ISBN-13: 0521821843
DOWNLOAD EBOOKA physical, mechanism-based presentation of the plasticity and fracture of polymers, covering industrial scale applications through to nanoscale biofluidic devices.
Author: Montgomery T. Shaw
Publisher: John Wiley & Sons
Published: 2005-08-19
Total Pages: 339
ISBN-13: 0471741825
DOWNLOAD EBOOKA revised molecular approach to a classic on viscoelasticbehavior Because viscoelasticity affects the properties, appearance,processing, and performance of polymers such as rubber, plastic,and adhesives, a proper utilization of such polymers requires aclear understanding of viscoelastic behavior. Now in its third edition, Introduction to Polymer Viscoelasticityremains a classic in the literature of molecular viscoelasticity,bridging the gap between primers on polymer science and advancedresearch-level monographs. Assuming a molecular, rather than amechanical approach, the text provides a strong grounding in thefundamental concepts, detailed derivations, and particularattention to assumptions, simplifications, and limitations. This Third Edition has been entirely revised and updated to reflectrecent developments in the field. New chapters include: * Phenomenological Treatment of Viscoelasticity * Viscoelastic Models * Time-Temperature Correspondence * Transitions and Relaxation in Polymers * Elasticity of Rubbery Networks * Dielectric and NMR Methods With detailed explanations, corresponding equations, andexperimental methods, supported by real-life applications (as wellas the inclusion of a CD-ROM with data to support the exercises),this Third Edition provides today's students and professionals withthe tools they need to create polymers with more desirablequalities than ever.
Author: Ivan Z. Nenadic
Publisher: John Wiley & Sons
Published: 2019-01-22
Total Pages: 613
ISBN-13: 1119021510
DOWNLOAD EBOOKUltrasound Elastography for Biomedical Applications and Medicine Ivan Z. Nenadic, Matthew W. Urban, James F. Greenleaf, Mayo Clinic Ultrasound Research Laboratory, Mayo Clinic College of Medicine, USA Jean-Luc Gennisson, Miguel Bernal, Mickael Tanter, Institut Langevin – Ondes et Images, ESPCI ParisTech CNRS, France Covers all major developments and techniques of Ultrasound Elastography and biomedical applications The field of ultrasound elastography has developed various techniques with the potential to diagnose and track the progression of diseases such as breast and thyroid cancer, liver and kidney fibrosis, congestive heart failure, and atherosclerosis. Having emerged in the last decade, ultrasound elastography is a medical imaging modality that can noninvasively measure and map the elastic and viscous properties of soft tissues. Ultrasound Elastography for Biomedical Applications and Medicine covers the basic physics of ultrasound wave propagation and the interaction of ultrasound with various media. The book introduces tissue elastography, covers the history of the field, details the various methods that have been developed by research groups across the world, and describes its novel applications, particularly in shear wave elastography. Key features: Covers all major developments and techniques of ultrasound elastography and biomedical applications. Contributions from the pioneers of the field secure the most complete coverage of ultrasound elastography available. The book is essential reading for researchers and engineers working in ultrasound and elastography, as well as biomedical engineering students and those working in the field of biomechanics.
