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On The Thermodynamic Foundation Of Plasticity
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Book Synopsis On the Thermodynamic Foundation of Plasticity by : K. C. Valanis
Download or read book On the Thermodynamic Foundation of Plasticity written by K. C. Valanis and published by . This book was released on 1968 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanical constitutive equations for plastic materials are given a sound thermodynamic origin through the axiom that "the infinitesimal increment of irreversible entropy is a function only of the current stress and the current stress increment." As a result of this axiom and the Clausius-Duhem inequality, it is shown that: (a) a plastic material behaves plastically during loading and elastically during unloading ; (b) for each stress state there exists, in stress space, a surface known as the yield surface, which determines whether a stress increment constitutes loading of unloading; (c) the classical constitutive equations of plasticity follow and a corresponding constitutive equation for large plastic deformation is derived.
Book Synopsis Foundations of the Theory of Plasticity by : Lazarʹ Markovich Kachanov
Download or read book Foundations of the Theory of Plasticity written by Lazarʹ Markovich Kachanov and published by North-Holland. This book was released on 1971 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Continuum Mechanics and Plasticity by : Han-Chin Wu
Download or read book Continuum Mechanics and Plasticity written by Han-Chin Wu and published by CRC Press. This book was released on 2004-12-20 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tremendous advances in computer technologies and methods have precipitated a great demand for refinements in the constitutive models of plasticity. Such refinements include the development of a model that would account for material anisotropy and produces results that compare well with experimental data. Key to developing such models-and to meeting many other challenges in the field- is a firm grasp of the principles of continuum mechanics and how they apply to the formulation of plasticity theory. Also critical is understanding the experimental aspects of plasticity and material anisotropy. Integrating the traditionally separate subjects of continuum mechanics and plasticity, this book builds understanding in all of those areas. Part I provides systematic, comprehensive coverage of continuum mechanics, from a review of Carteisian tensors to the relevant conservation laws and constitutive equation. Part II offers an exhaustive presentation of the continuum theory of plasticity. This includes a unique treatment of the experimental aspects of plasticity, covers anisotropic plasticity, and incorporates recent research results related to the endochronic theory of plasticity obtained by the author and his colleagues. By bringing all of these together in one book, Continuum Mechanics and Plasticity facilitates the learning of solid mechanics. Its readers will be well prepared for pursuing either research related to the mechanical behavior of engineering materials or developmental work in engineering analysis and design.
Book Synopsis Principles of Hyperplasticity by : Guy T. Houlsby
Download or read book Principles of Hyperplasticity written by Guy T. Houlsby and published by Springer Science & Business Media. This book was released on 2007-04-18 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Combined Loadings in the Theory of Plasticity by : Michal Zyczkowski
Download or read book Combined Loadings in the Theory of Plasticity written by Michal Zyczkowski and published by Springer Science & Business Media. This book was released on 1981-12-31 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure by : Henry W. Haslach Jr.
Download or read book Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure written by Henry W. Haslach Jr. and published by Springer Science & Business Media. This book was released on 2011-01-15 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure explores the thermodynamics of non-equilibrium processes in materials. The book develops a general technique created in order to construct nonlinear evolution equations describing non-equilibrium processes, while also developing a geometric context for non-equilibrium thermodynamics. Solid materials are the main focus in this volume, but the construction is shown to also apply to fluids. This volume also: • Explains the theory behind thermodynamically-consistent construction of non-linear evolution equations for non-equilibrium processes • Provides a geometric setting for non-equilibrium thermodynamics through several standard models, which are defined as maximum dissipation processes • Emphasizes applications to the time-dependent modeling of soft biological tissue Maximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure will be valuable for researchers, engineers and graduate students in non-equilibrium thermodynamics and the mathematical modeling of material behavior.
Book Synopsis Foundations of Elastoplasticity: Subloading Surface Model by : Koichi Hashiguchi
Download or read book Foundations of Elastoplasticity: Subloading Surface Model written by Koichi Hashiguchi and published by Springer. This book was released on 2017-05-06 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the standard text book of elastoplasticity in which the elastoplasticity theory is comprehensively described from the conventional theory for the monotonic loading to the unconventional theory for the cyclic loading behavior. Explanations of vector-tensor analysis and continuum mechanics are provided first as a foundation for elastoplasticity theory, covering various strain and stress measures and their rates with their objectivities. Elastoplasticity has been highly developed by the creation and formulation of the subloading surface model which is the unified fundamental law for irreversible mechanical phenomena in solids. The assumption that the interior of the yield surface is an elastic domain is excluded in order to describe the plastic strain rate due to the rate of stress inside the yield surface in this model aiming at the prediction of cyclic loading behavior, although the yield surface enclosing the elastic domain is assumed in all the elastoplastic models other than the subloading surface model. Then, the plastic strain rate develops continuously as the stress approaches the yield surface, providing the advantages: 1) The tangent modulus changes continuously, 2) The yield judgment whether the stress reaches the yield surface is not required, 3) The stress is automatically attracted to the yield surface even when it goes out from the yield surface by large loading increments in numerical calculation and 4) The finite strain theory based on the multiplicative decomposition of deformation gradient tensor is formulated exactly. Consequently, the monotonic, the cyclic, the non-proportional loading behaviors for wide classes of materials including soils, rocks and concretes in addition to metals can be described rigorously by the subloading surface model. Further, the viscoplastic constitutive equations in a general rate from the quasi-static to the impact loadings are described, and constitutive equations of friction behavior and its application to the prediction of stick-slip phenomena, etc. are also described in detail. In addition, the return-mapping algorithm, the consistent tangent modulus, etc. are explained for the numerical analyses. Further, the damage, the phase-transformation and the crystal plasticity models are also described in brief. All of them are based on the subloading surface model. The elastoplasticity analysis will be advanced steadily based on the subloading surface model.
Book Synopsis Modern Approaches to Plasticity by : D. Kolymbas
Download or read book Modern Approaches to Plasticity written by D. Kolymbas and published by Elsevier. This book was released on 2012-12-02 with total page 797 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constitutive modelling of granulate materials has achieved significant progress in recent times although some challenging problems still remain to be solved. Many of the 35 contributions in this volume are devoted to modelling but there are also papers investigating the phenomena to be modelled. For instance, there are reviews on several aspects of the behaviour of granulates which are mere material properties while other aspects are related to the ill-posedness of the corresponding boundary value problems. The work provides a comprehensive and up to date treatise on the theory of plasticity in granular materials, together with a great number of solution methods and applications. The volume is intended for researchers and practising engineers who wish to enhance their knowledge in this rapidly expanding field.
Book Synopsis Problems of Plasticity by : A. Sawczuk
Download or read book Problems of Plasticity written by A. Sawczuk and published by Springer. This book was released on 2014-01-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of plasticity has a broad range of applications in industry and engineering. Its methods permit to devise metal processing, allow to assess safety of structures against collapse, make possible to estimate flow of bulk solids. The technological progress calls both for deeper understanding of sources of plastic deformation and for more rigorous description of mecha nisms of plastic motion. It was felt at the Institute of Fundamental Technological Research in Warsaw several years ago that an international meeting bringing together experts in various domains of plasticity and studying plastic behavior from different positions could be of use for further development of the discipline itself and for its service to society. The appropriate occasion for such a meeting sponsored by the Polish Academy of Sciences was provided by the 70th anniversary of Professor Wadaw Olszak. The idea of a fundamentals oriented symposium was favorably received by the scientific community over the world. Eminent scientists generously advised me as to the scope of the meeting and helped in shaping the program. It was eventually decided to concentrate the debates on a) physical foun dations of plasticity , b) thermodynamics of plastic and visco-plastic deform ation, c) experiments regarding plastic behavior, d) mathematical methods in plasticity, e) computer techniques suitable for solving important techno logical problems. The selection of papers was made accordingly. The symposium contributed papers were published in the volume entitled 'Foundations of plasticIty' and in the 'Archives of Mechanics' No.3, 1972.
Book Synopsis Subject Catalog by : Library of Congress
Download or read book Subject Catalog written by Library of Congress and published by . This book was released on 1978 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Formulation of the Nonlinear Analysis of Shell-like Structures, Subjected to Time-dependent Mechanical and Thermal Loading by : George J. Simitses
Download or read book Formulation of the Nonlinear Analysis of Shell-like Structures, Subjected to Time-dependent Mechanical and Thermal Loading written by George J. Simitses and published by . This book was released on 1991 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Engineering Report by : Iowa State University. Engineering Research Institute
Download or read book Engineering Report written by Iowa State University. Engineering Research Institute and published by . This book was released on 1967 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Large Deformation of Materials with Complex Rheological Properties at Normal and High Pressure by : V. I. Levitas
Download or read book Large Deformation of Materials with Complex Rheological Properties at Normal and High Pressure written by V. I. Levitas and published by Nova Publishers. This book was released on 1996 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large Deformation of Materials with Complex Rheological Properties at Normal & High Pressure
Book Synopsis Engineering Report by : Iowa Engineering Experiment Station
Download or read book Engineering Report written by Iowa Engineering Experiment Station and published by . This book was released on 1969 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elastoplasticity Theory by : Koichi Hashiguchi
Download or read book Elastoplasticity Theory written by Koichi Hashiguchi and published by Springer Science & Business Media. This book was released on 2013-07-16 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written to serve as the standard textbook of elastoplasticity for students, engineers and researchers in the field of applied mechanics. The present second edition is improved thoroughly from the first edition by selecting the standard theories from various formulations and models, which are required to study the essentials of elastoplasticity steadily and effectively and will remain universally in the history of elastoplasticity. It opens with an explanation of vector-tensor analysis and continuum mechanics as a foundation to study elastoplasticity theory, extending over various strain and stress tensors and their rates. Subsequently, constitutive equations of elastoplastic and viscoplastic deformations for monotonic, cyclic and non-proportional loading behavior in a general rate and their applications to metals and soils are described in detail, and constitutive equations of friction behavior between solids and its application to the prediction of stick-slip phenomena are delineated. In addition, the return-mapping algorithm, the consistent tangent operators and the objective time-integration algorithm of rate tensor are explained in order to enforce the FEM analyses. All the derivation processes and formulations of equations are described in detail without an abbreviation throughout the book. The distinguishable features and importance of this book is the comprehensive description of fundamental concepts and formulations including the objectivity of tensor and constitutive equations, the objective time-derivative of tensor functions, the associated flow rule, the loading criterion, the continuity and smoothness conditions and their substantial physical interpretations in addition to the wide classes of reversible/irreversible constitutive equations of solids and friction behavior between solids.
