Theory of Viscoelasticity, Plasticity, Elastic Waves, and Elastic Stability
Author: Clifford Truesdell
Publisher: Springer
Published: 1984
Total Pages: 668
ISBN-13:
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Mechanics of Solids
Author: C. Truesdell
Publisher: Springer
Published: 1973
Total Pages: 0
ISBN-13: 9783642695698
DOWNLOAD EBOOK →Reissue of Encyclopedia of Physics / Handbuch der Physik, Volume VIa The mechanical response of solids was first reduced to an organized science of fairly general scope in the nineteenth century. The theory of small elastic deformations is in the main the creation of CAUCHY, who, correcting and simplifying the work of NAVIER and POISSON, through an astounding application of conjoined scholarship, originality, and labor greatly extended in breadth the shallowest aspects of the treatments of par ticular kinds of bodies by GALILEO, LEIBNIZ, JAMES BERNOULLI, PARENT, DANIEL BER NOULLI, EULER, and COULOMB. Linear elasticity became a branch of mathematics, culti vated wherever there were mathematicians. The magisterial treatise of LOVE in its second edition, 1906 - clear, compact, exhaustive, and learned - stands as the summary l of the classical theory. It is one of the great "gaslight works" that in BOCHNER'S words "either do not have any adequate successor[ s] . . . or, at least, refuse to be super seded . . . ; and so they have to be reprinted, in ever increasing numbers, for active research and reference", as long as State and Society shall permit men to learn mathe matics by, for, and of men's minds. Abundant experimentation on solids was done during the same century. Usually the materials arising in nature, with which experiment most justly concerns itself, do not stoop easily to the limitations classical elasticity posits.
MECHANICS OF SOLIDS, VOL. III - THEORY OF VISCOELASTICITY,PLASTICITY, ELASTIC WAVES, AND ELASTIC STABILITY
Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity
Author: Eduard Starovoitov
Publisher: CRC Press
Published: 2012-07-18
Total Pages: 320
ISBN-13: 1466558792
DOWNLOAD EBOOK →Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity. The book includes all modern methods of research as well as the results of the authors’ recent work and is presented with sufficient mathematical strictness and proof. The first six chapters are devoted to the foundations of the theory of elasticity. Theory of stress-strain state, physical relations and problem statements, variation principles, contact and 2D problems, and the theory of plates are presented, and the theories are accompanied by examples of solving typical problems. The last six chapters will be useful to postgraduates and scientists engaged in nonlinear mechanics of deformed inhomogeneous bodies. The foundations of the modern theory of plasticity (general, small elastoplastic deformations and the theory of flow), linear, and nonlinear viscoelasticity are set forth. Corresponding research of three-layered circular plates of various materials is included to illustrate methods of problem solving. Analytical solutions and numerical results for elastic, elastoplastic, lineaer viscoelastic and viscoelastoplastic plates are also given. Thermoviscoelastoplastic characteristics of certain materials needed for numerical account are presented in the eleventh chapter. The informative book is intended for scientists, postgraduates and higher-level students of engineering spheres and will provide important practical skills and approaches.
Continuum Mechanics
Author: Ellis H. Dill
Publisher: CRC Press
Published: 2006-11-10
Total Pages: 382
ISBN-13: 9780849397790
DOWNLOAD EBOOK →Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject that includes not only elasticity and fluid mechanics but also covers plasticity, viscoelasticity, and the continuum model for fatigue and fracture mechanics. In addition to a broader scope, this book also supplies a review of the necessary mathematical tools and results for a self-contained treatment. The author provides finite element formulations of the equations encountered throughout the chapters and uses an approach with just the right amount of mathematical rigor without being too theoretical for practical use. Working systematically from the continuum model for the thermomechanics of materials, coverage moves through linear and nonlinear elasticity using both tensor and matrix notation, plasticity, viscoelasticity, and concludes by introducing the fundamentals of fracture mechanics and fatigue of metals. Requisite mathematical tools appear in the final chapter for easy reference. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity builds a strong understanding of the principles, equations, and finite element formulations needed to solve real engineering problems.
Linear Theories of Elasticity and Thermoelasticity
Author: Clifford Truesdell
Publisher: Springer
Published: 2013-12-17
Total Pages: 755
ISBN-13: 3662397765
DOWNLOAD EBOOK →Elasticity and Plasticity
Author: J. N. Goodier
Publisher: Courier Dover Publications
Published: 2016-04-21
Total Pages: 164
ISBN-13: 0486806049
DOWNLOAD EBOOK →Comprising two classic essays by experts on the mathematical theories of elasticity and plasticity, this volume is noteworthy for its contributions by Russian authors and others previously unrecognized in Western literature. 1958 edition.
Elastoplasticity Theory
Author: Vlado A. Lubarda
Publisher: CRC Press
Published: 2001-07-16
Total Pages: 665
ISBN-13: 1420040782
DOWNLOAD EBOOK →Understanding the elastoplastic deformation of metals and geomaterials, including the constitutive description of the materials and analysis of structure undergoing plastic deformation, is an essential part of the background required by mechanical, civil, and geotechnical engineers as well as materials scientists. However, most books address the su
Viscoelasticity
Author: Wilhelm Flügge
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 204
ISBN-13: 3662022761
DOWNLOAD EBOOK →No mathematical theory can completely describe the complex world around us. Every theory is aimed at a certain class of phenomena, formulates their essential features, and disregards what is of minor importance. The theory meets its limits of applicability where a dis regarded influence becomes important. Thus, rigid-body dynamics describes in many cases the motion of actual bodies with high accu racy, but it fails to produce more than a few general statements in the case of impact, because elastic or anelastic deformation, no matter how local or how small, attains a dominating influence. For a long time mechanics of deformable bodies has been based upon Hooke's law - that is, upon thE" assumption of linear elasticity. It was well known that most engineering materials like metals, con crde, wood, soil, are not linearly elastic or, are so within limits too narrow to cover tne range of pl'actical intcrest. Nevertheless, almost all routine stress analysis is still based on Hooke T s law be cause of its simplicity. In the course of time engineers have become increasingly con scious of the importance of the anelastic behavior of many materials, and mathematical formulations have been attempted and applied to practical problems. Outstanding among them are the theories of ide ally plastic and of viscoelastic materials. While plastic behavior is essentially nonlinear (piecewise linear at best), viscoelasticity, like elasticity, permits a linear theory. This theory of linear visco elasticity is the subject of tbe present book.
Theory of Elastic Stability
Author: Stephen Timoshenko
Publisher:
Published: 1961
Total Pages: 541
ISBN-13: 9781621986133
DOWNLOAD EBOOK →The best available guide to the elastic stability of large structures, this volume was co-authored by world-renowned authorities on engineering mechanics. It ranges from theoretical explanations of 2- and 3-D stress and strain to practical applications such as torsion, bending, thermal stress, and wave propagation through solids. Equally valuable as text or reference. 1961 edition.
