the mechanical and thermodynamical theory of plasticity

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The Mechanical And Thermodynamical Theory Of Plasticity

Author : Mehrdad Negahban
ISBN : 9780849372308
Genre : Science
File Size : 81. 33 MB
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Born out of 15 years of courses and lectures on continuum mechanics, nonlinear mechanics, continuum thermodynamics, viscoelasticity, plasticity, crystal plasticity, and thermodynamic plasticity, The Mechanical and Thermodynamical Theory of Plasticity represents one of the most extensive and in-depth treatises on the mechanical and thermodynamical aspects of plastic and visicoplastic flow. Suitable for student readers and experts alike, it offers a clear and comprehensive presentation of multi-dimensional continuum thermodynamics to both aid in initial understanding and introduce and explore advanced topics. Covering a wide range of foundational subjects and presenting unique insights into the unification of disparate theories and practices, this book offers an extensive number of problems, figures, and examples to help the reader grasp the subject from many levels. Starting from one-dimensional axial motion in bars, the book builds a clear understanding of mechanics and continuum thermodynamics during plastic flow. This approach makes it accessible and applicable for a varied audience, including students and experts from engineering mechanics, mechanical engineering, civil engineering, and materials science.

The Mechanical And Thermodynamical Theory Of Plasticity Solutions Manual

Author : Mehrdad Negahban
ISBN : 1439805008
Genre :
File Size : 68. 17 MB
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The Mechanics And Thermodynamics Of Continua

Author : Morton E. Gurtin
ISBN : 9781139482158
Genre : Science
File Size : 47. 21 MB
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The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasises the universal status of the basic balances and the entropy imbalance. These laws are viewed as fundamental building blocks on which to frame theories of material behaviour. As a valuable reference source, this book presents a detailed and complete treatment of continuum mechanics and thermodynamics for graduates and advanced undergraduates in engineering, physics and mathematics. The chapters on plasticity discuss the standard isotropic theories and, in addition, crystal plasticity and gradient plasticity.

Theoretical Experimental And Numerical Contributions To The Mechanics Of Fluids And Solids

Author : Paul Mansour Naghdi
ISBN : 376435139X
Genre : Mathematics
File Size : 27. 69 MB
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ZAMP special issue, Vol. 46 This is a comprehensive and up-to-date collection of papers on the mechanics of fluids and solids by leading researchers. It encompasses theoretical, experimental and numerical work on a variety of topics, including nonlinear elasticity, plastici- ty, dynamics, water waves, and turbulence. The collection is published in celebration of Professor Paul M. Naghdi's lifelong contributions to the field of mechanics. It will be of interest to graduate students and researchers in all branches of continuum mechanics.

Foundations Of The Theory Of Elasticity Plasticity And Viscoelasticity

Author : Eduard Starovoitov
ISBN : 9781926895116
Genre : Science
File Size : 39. 80 MB
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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.

Irreversible Thermodynamics Of Continuous Media

Author : Kirk C. Valanis
ISBN : 9783709129876
Genre : Technology & Engineering
File Size : 72. 17 MB
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Mechanical Behavior Of Materials Under Dynamic Loads

Author : Ulric S. Lindholm
ISBN : 9783642874451
Genre : Science
File Size : 54. 66 MB
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An adequate physical and mathematical description of material be havior is basic to all engineering applications. Fortunately, many prob lems may be treated entirely within the framework of elastic material response. While even these problems may become yuite complex be cause of geometrical and loading conditions, the linearity, reversibility, and rate independence generally applicable to elastic material descrip tion certainly eases the task of the analyst. Today, however, we are in creasingly confronted with practical problems which involve material response which is inelastic, hysteretic and rate dependent combined with loading which is transient in nature. These problems include, for instance, structural response to moving or impulsive loads, all the areas of ballistics (internal, external and terminal), contact stresses under high speed bearings, high speed machining, rolling and other metal working processes, explosive and impact forming, shock attenuation structures, seismic wave propagation, and many others of equal im portance. As these problems were encountered, it became increasingly evident that we did not have at hand the physical or mathematical description of the behavior of materials necessary to produce realistic solutions. Thus, during the last ten years particularly, there has been considerable effort expended toward the generation of both experi mental data on the dynamic mechanical response of materials as well as the formulation of realistic constitutive theories. It was the purpose of the Symposium at which the articles in this book were presented to discuss and review recent developments in this field.

The Mechanics Of Constitutive Modeling

Author : Niels Saabye Ottosen
ISBN : 0080525695
Genre : Technology & Engineering
File Size : 77. 39 MB
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Constitutive modelling is the mathematical description of how materials respond to various loadings. This is the most intensely researched field within solid mechanics because of its complexity and the importance of accurate constitutive models for practical engineering problems. Topics covered include: Elasticity - Plasticity theory - Creep theory - The nonlinear finite element method - Solution of nonlinear equilibrium equations - Integration of elastoplastic constitutive equations - The thermodynamic framework for constitutive modelling – Thermoplasticity - Uniqueness and discontinuous bifurcations • More comprehensive in scope than competitive titles, with detailed discussion of thermodynamics and numerical methods. • Offers appropriate strategies for numerical solution, illustrated by discussion of specific models. • Demonstrates each topic in a complete and self-contained framework, with extensive referencing.

Variational Principles Of Continuum Mechanics

Author : Victor Berdichevsky
ISBN : 9783540884675
Genre : Technology & Engineering
File Size : 35. 32 MB
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Thereareabout500booksonvariationalprinciples. Theyareconcernedmostlywith the mathematical aspects of the topic. The major goal of this book is to discuss the physical origin of the variational principles and the intrinsic interrelations between them. For example, the Gibbs principles appear not as the rst principles of the theory of thermodynamic equilibrium but as a consequence of the Einstein formula for thermodynamic uctuations. The mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for direct study of variational problems. Thebookisacompletelyrewrittenversionoftheauthor’smonographVariational Principles of Continuum Mechanics which appeared in Russian in 1983. I have been postponing the English translation because I wished to include the variational pr- ciples of irreversible processes in the new edition. Reaching an understanding of this subject took longer than I expected. In its nal form, this book covers all aspects of the story. The part concerned with irreversible processes is tiny, but it determines the accents put on all the results presented. The other new issues included in the book are: entropy of microstructure, variational principles of vortex line dynamics, va- ational principles and integration in functional spaces, some stochastic variational problems, variational principle for probability densities of local elds in composites with random structure, variational theory of turbulence; these topics have not been covered previously in monographic literature.

Principles Of Hyperplasticity

Author : Guy T. Houlsby
ISBN : 9781846282409
Genre : Technology & Engineering
File Size : 73. 61 MB
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The approach to plasticity theory developed here is firmly rooted in thermodynamics. Emphasis is placed on the use of potentials and the derivation of incremental response, necessary for numerical analysis. The derivation of constitutive models for irreversible behaviour entirely from two scalar potentials is shown. The use of potentials allows models to be very simply defined, classified and, if necessary, developed and it permits dependent and independent variables to be interchanged, making possible different forms of a model for different applications. The theory is extended to include treatment of rate-dependent materials and a powerful concept, in which a single plastic strain is replaced by a plastic strain function, allowing smooth transitions between elastic and plastic behaviour is introduced. This monograph will benefit academic researchers in mechanics, civil engineering and geomechanics and practising geotechnical engineers; it will also interest numerical analysts in engineering mechanics.

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