continuum mechanics and theory of materials advanced texts in physics

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Continuum Mechanics And Theory Of Materials

Author : Peter Haupt
ISBN : 9783662047750
Genre : Technology & Engineering
File Size : 61. 72 MB
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The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.

Continuum Mechanics

Author : I-Shih Liu
ISBN : 9783662050569
Genre : Science
File Size : 30. 76 MB
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This concise textbook develops step by step the fundamental principles of continuum mechanics. Emphasis is on mathematical clarity, and an extended appendix provides the required background knowledge in linear algebra and tensor calculus. After introducing the basic notions about general kinematics, balance equations, material objectivity and constitutive functions, the book turns to the presentation of rational thermodynamics by stressing the role of Lagrange multipliers in deriving constitutive funcitions from the underlying entropy principle. A brief lecture on extended thermodynamics closes the book. Many examples and exercises round off the material presendted in the chapters. The book addresses primarily advanced undergraduate students in theoretical physics, applied mathematics and materials sciences.

Verallgemeinerte Newtonsche Fluide

Author : Markus Rütten
ISBN : 9783662562260
Genre : Technology & Engineering
File Size : 81. 19 MB
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Nichtnewtonsche Fluide, zu denen die verallgemeinerten newtonschen Fluide zählen, zeichnen sich dadurch aus, dass ihre Viskosität nicht nur von Druck und Temperatur abhängt. Vielmehr wirkt sich die Strömung selbst auf die Viskosität der Fluide aus. Das macht die Physik und Strömungsmechanik dieser Fluide außerordentlich komplex. Das Buch führt daher umfassend in die Theorie und Anwendung der verallgemeinerten newtonschen Fluide ein. Neben ausführlichen Herleitungen der Gesetzmäßigkeiten werden Lesern die strömungsphysikalischen Phänomene, die bei diesen Fluiden auftreten, anhand analytischer Beispiele und praxisnaher Strömungssimulationen veranschaulicht. Die gängigsten Fluidmodelle werden vorgestellt und ihre jeweiligen Modellierungsgrenzen aufgezeigt. Viskoelastische Fluide werden im Gegensatz zur gängigen Fachliteratur bewusst nur am Rande behandelt, vielmehr wird der Temperatureinfluss auf die rheologischen Fluideigenschaften betrachtet. Für Studierende der Ingenieurwissenschaften sowie für Praktiker sind die strömungsmechanischen Aspekte der Rheologie von besonderer Bedeutung, denn diese Fluide sind für zahlreiche Industriesparten relevant. Ohne Kenntnisse ihrer Eigenheiten können viele Problemstellungen in der Chemie-, Prozess- und Verfahrenstechnik nicht bearbeitet werden. Bei der Produktion von Farben, Lacken, Dispersionen und Emulsionen beispielsweise, aber auch bei Kunststoffschmelzen sind die Effekte strömungsbedingt veränderlicher Viskosität entscheidend für die Qualität des Endprodukts. Ähnliches gilt für die Prozesstechnik, Hydraulik oder die Getriebe- und Motorenentwicklung. Die Zielgruppen Das Buch wendet sich an Praktiker in den Bereichen chemische Verfahrenstechnik, Lebensmitteltechnologie und Biofluiddynamik sowie an Studierende der Ingenieurwissenschaften.

Iutam Symposium On Computational Mechanics Of Solid Materials At Large Strains

Author : Christian Miehe
ISBN : 9789401702973
Genre : Technology & Engineering
File Size : 21. 63 MB
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The steady increase in computational power induces an equally steady increase in the complexity of the engineering models and associated computer codes. This particularly affects the modeling of the mechanical response of materials. Material behavior is nowadays modeled in the strongly nonlinear range by tak ing into account finite strains, complex hysteresis effects, fracture phenomena and multiscale features. Progress in this field is of fundamental importance for many engineering disciplines, especially those concerned with material testing, safety, reliability and serviceability analyses of engineering structures. In recent years many important achievements have been made in the field of the theoretical formulation, the mathematical analysis and the numerical im plementation of deformation processes in solids. Computational methods and simulation techniques today play a central role in advancing the understanding of complex material behavior. Research in the field of "ComputationalMechan ics of Materials" is concerned with the development of mathematical models and numerical solution techniques for the simulation of material response. It is a very broad interdisciplinary field of science with inputs from traditional fields such as Applied Mechanics, Applied Mathematics, Materials Science, Solid State Physics and Information Technology. The intention of the IUTAM Symposium "Computational Mechanics of Solid Materials at Large Strains", held at the University of Stuttgart, Germany, from August 20-24, 200I, was to give a state of the art and a survey about recent developments in this field and to create perspectives for future research trends.

Continuum Mechanics

Author : P. Chadwick
ISBN : 9780486139142
Genre : Science
File Size : 54. 23 MB
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DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div

Continuum Mechanics

Author : A. J. M. Spencer
ISBN : 9780486139470
Genre : Science
File Size : 81. 65 MB
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Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.

Nonlinear Continuum Mechanics

Author : Donald Charles Leigh
ISBN : UOM:39015006412087
Genre : Science
File Size : 34. 39 MB
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Nonlinear Continuum Mechanics And Large Inelastic Deformations

Author : Yuriy I. Dimitrienko
ISBN : 9400700342
Genre : Technology & Engineering
File Size : 35. 26 MB
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The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in systematized form. The focus of the book is a new approach to the formulation of the constitutive equations for elastic and inelastic continua under large deformation. This new approach is based on using energetic and quasi-energetic couples of stress and deformation tensors. This approach leads to a unified treatment of large, anisotropic elastic, viscoelastic, and plastic deformations. The author analyses classical problems, including some involving nonlinear wave propagation, using different models for continua under large deformation, and shows how different models lead to different results. The analysis is accompanied by experimental data and detailed numerical results for rubber, the ground, alloys, etc. The book will be an invaluable text for graduate students and researchers in solid mechanics, mechanical engineering, applied mathematics, physics and crystallography, as also for scientists developing advanced materials.

A First Course In Continuum Mechanics

Author : Oscar Gonzalez
ISBN : 9780521886802
Genre : Science
File Size : 78. 94 MB
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A concise account of classic theories of fluids and solids, for graduate and advanced undergraduate courses in continuum mechanics.

The Excitation And Propagation Of Elastic Waves

Author : J. A. Hudson
ISBN : 0521227771
Genre : Mathematics
File Size : 79. 93 MB
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This paperback edition of Dr Hudson's advanced textbook presents the theory of small disturbances propagating through solids. The material is set out carefully in mathematical detail. The linearised theory of elasticity has now been replaced by a more fundamental approach based on a generalised theory of continuum mechanics. Despite this change of emphasis in solid mechanics there remain important areas of physics in which the linear theory is clearly of fundamental importance, especially in seismology, noise analysis and the non-destructive testing of materials. This is a textbook suitable for advanced undergraduates in a variety of disciplines, including applied mathematics, applied physics, geophysics and structural and civil engineering. The book is of particular interest to seismologists and physicists engaged in non-destructive testing.

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