Download or read book Large Deformations of Solids Physical Basis and Mathematical Modelling written by J. Gittus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Modeling of Inelastic Deformation written by J.F. Besseling and published by CRC Press. This book was released on 1994-05-15 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modeling of Inelastic Deformation details the mathematical modeling of the inelastic behavior of engineering materials. The authors use a thermodynamic approach to the subject and focus on crystalline materials, but not to the exclusion of macro-moleular solids. Within a unified theory for small and large deformations, they develop simple models, such as the elastic-perfectly plastic model, as well as complex models dealing with anisotropic hardening. The book includes finite element implementation of the theory and illustrates the implementation with examples from heat production and conduction processes.

Download or read book Superplastic Flow written by K.A. Padmanabhan and published by Springer Science & Business Media. This book was released on 2001-02-26 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book aims at the following: - To outline briefly the techniques of mechanics of solids, particularly as it applies to strain rate sensitive materials, - to assess the present level of investigations on the mechanical behaviour of superplastics, - to formulate the main issues and challenges in mechanics of superplasticity, - to analyse the mathematical models/constitutive equations for superplastic flow from the viewpoint of mechanics, - to review the models of superplastic metal working processes, - to indicate with examples possible new results that can be obtained using the methods of mechanics of solids. It is intended for a variety of readers who may be interested in the phenomenon of superplasticity for different reasons: materials scientists and physicists working in educational institutions and R&D units, those who wish to work on the applications of superplasticity, engineers in industry, students at senior undergraduate and postgraduate levels and those who wish to understand the phenomenology and mechanics of superplasticity without involvement in actual research. A reader who has exposure to standard differential and integral calculus and elementary tensor calculus at a level taught to senior undergraduate students at a technical university should have no difficulty in following the treatments. The analytical procedures are explained in an Appendix with simple examples.

Download or read book Finite Plastic Deformation of Crystalline Solids written by K. S. Havner and published by Cambridge University Press. This book was released on 1992-03-27 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Download or read book Viscoplastic Flow in Solids Produced by Shear Banding written by Ryszard B. Pecherski and published by John Wiley & Sons. This book was released on 2022-05-31 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: VISCOPLASTIC FLOW IN SOLIDS PRODUCED BYSHEAR BANDING A complete overview of the topic of viscoplastic flow in solids produced by shear banding This book presents novel ideas about inelastic deformation and failure of solids in a clear, concise manner. It exposes readers to information that will allow them to acquire the competence and ability to deal with up-to-date manufacturing and failure processes. It also portrays a new understanding of deformation processes. Finally, shear banding’s typical mechanism becomes the active cause of viscoplastic flow and not the ­passive effect. Viscoplastic Flow in Solids Produced by Shear Banding begins by discussing the new physical model of multilevel hierarchy and the evolution of micro-shear bands. In conclusion, it examines the difficulties of applying a direct multiscale integration scheme and extends the representative volume element (RVE) concept using the general theory of the singular surfaces of the microscopic velocity field sweeping out the RVE. This book reveals a new formulation of the shear strain rate generated by the consecutive systems of shear bands in the workflow integration approach. This book: Presents fresh ideas about inelastic deformation and failure of materials Provides readers with the ability to deal with up-to-date manufacturing and failure processes Sheds light on the interdisciplinary view of deformation processes in solids Viscoplastic Flow in Solids Produced by Shear Banding will appeal to researchers studying physical foundations of inelastic behaviour and failure of solid materials, dealing with analysis and numerical simulations of manufacturing forming processes. It is also an excellent resource for graduate and postgraduate students of material science and mechanical engineering faculties.

Download or read book Advances in Micromechanics of Granular Materials written by H.H. Shen and published by Elsevier. This book was released on 2013-10-22 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 45 papers presented in this volume all share the common goal of constructing continuum models based on the micro behaviours of granular materials. Computer simulations continue to provide observations to aid modelling, while new experimental works begin to show promise for increased understanding in this area. Theoretical studies have extended into transitions between the rapid and quasi-static regimes and the fluid and solid mixture flows. Exciting new topics discussed in this volume include: concepts of a measure for randomness in quasi-static granular materials, which is analogous to the granular temperature in a rapid flow; scaling effects in granular media and their implications in both physical and computer simulations; instability; and boundary effects on heterogeneous behavior in simple flow configurations, which are posing new challenges for mathematical modelling. The volume will prove indispensable reading for researchers interested in the current developments in the fundamental aspects of mechanics of granular materials.

Download or read book Modelling Small Deformations of Polycrystals written by J. Gittus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific work of Jean Mandel has been exceptionally rich in the area of the mechanics of solids; the subjects which he has treated have been extremely diverse, from the theory of plasticity, buckling, soil mechanics, visco-elasticity, the theory of reduced models, and thermo dynamics, to percolation in porous media. But throughout this com prehensive work Jean Mandel has always maintained his interest in forming connections between the properties of materials (strength, deformability, viscosity) and the properties of their basic constituents. What is sometimes referred to in materials science as the transition from the microscopic to the macroscopic has for him been a very constant direction of research, which he never ceased to encourage in the Laboratoire de Mecanique des Solides of which he was the director. It is known that in the plasticity of metals permanent deformations must be sought in intercrystalline slip and more generally in disloca tions and the various microstructural defects. Before deformation of polycrystals is tackled, it is necessary to understand the mechanisms which take place within the crystal: the different systems of slip which may be activated and also the elementary mechanisms of twinning. Jean Mandel has shown how to make the transition from the behaviour of the single crystal to that of the polycrystal and has given the relation ships between the overall permanent deformation of the polycrystal and the plastic deformation of the single crystal.

Download or read book Geomaterials Constitutive Equations and Modelling written by F. Darve and published by CRC Press. This book was released on 2002-11-01 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Continuum Thermomechanics written by Gérard A. Maugin and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed by world-renowned specialists on the occasion of Paul Germain's 80th birthday, this unique book reflects the foundational works and the intellectual influence of this author. It presents the realm of modern thermomechanics with its extraordinary wealth of applications to the behaviour of materials, whether solid or fluid. The thirty-one contributions follow an easygoing autobiographical sketch by Paul Germain, and highlight the power and richness of a methodological approach to the phenomenology of many materials. This approach combines harmoniously thermodynamics and continuum theory in order to provide exploitable, thermodynamically admissible models of a large variety of behaviours and phenomena, including those of diffusion, thermoelasticity, viscoplasticity, relaxation, hysteresis, wetting, shape-memory effects, growth, phase transitions, stability, fracture, shocks, machining of materials, microstructured solids, complex fluids, etc. Especially aimed at graduate students, researchers, and engineers in mechanical engineering and materials science, this book also presents the state of the art in an active field of research and opens new horizons in other scientific fields, such as applied mathematics and applied physics, because of the intellectual satisfaction and remarkable efficiency provided by the advocated approach.

Download or read book Elastoplasticity Theory written by Vlado A. Lubarda and published by CRC Press. This book was released on 2001-07-16 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1969 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Thermomechanics of Viscoplasticity written by Milan Micunovic and published by Springer Science & Business Media. This book was released on 2009-04-20 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines the geometrical and thermodynamical properties of mechanical behavior of metals and many polymeric and paste-like materials which are indispensable for developing a rational theory of viscoplasticity. The book is intended for researchers as well as Ph.D. students in the fields of material science and continuum mechanics. Anyone involved in the design of large scale industrial parts will also find this book highly useful. The concepts and results illustrated in this work are readily applicable to the rapidly developing field of biomechanics.

Download or read book Modeling Steel Deformation in the Semi Solid State written by Marcin Hojny and published by Springer. This book was released on 2017-09-07 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique approach to integrated high-temperature process modelling, intended to serve as a design aid for new metal processing technologies. The second edition has been substantially expanded to include new content such as: a new algorithm and test results of 3D stereoscopic visualization; new programming procedures for modelling; the validation of computer simulation using experimental results; a multiscale model of grain growth; a conceptual methodology developing “high-temperature” CCT (continuous cooling transformation) diagrams, and many more examples validating the numerical simulations. The models presented are applied in comprehensive tests in order to solve problems related to the high-temperature deformation of steel. The testing methods include both physical tests using specialist laboratory instruments, and advanced mathematical modelling: the Finite Element method (FE), Smoothed Particle Hydrodynamics method (SPH) and Mo nte Carlo method (MC).This approach, which integrates the fields of physical and computer-based simulations, forms the basis for the described concept of integrated high-temperature process modelling, presented in detail in this book.

Download or read book Finite Element Method Simulation of 3D Deformable Solids written by Eftychios Sifakis and published by Morgan & Claypool Publishers. This book was released on 2015-10-01 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a practical guide to simulation of 3D deformable solids using the Finite Element Method (FEM). It reviews a number of topics related to the theory and implementation of FEM approaches: measures of deformation, constitutive laws of nonlinear materials, tetrahedral discretizations, and model reduction techniques for real-time simulation. Simulations of deformable solids are important in many applications in computer graphics, including film special effects, computer games, and virtual surgery. The Finite Element Method has become a popular tool in many such applications. Variants of FEM catering to both offline and real-time simulation have had a mature presence in computer graphics literature. This book is designed for readers familiar with numerical simulation in computer graphics, who would like to obtain a cohesive picture of the various FEM simulation methods available, their strengths and weaknesses, and their applicability in various simulation scenarios. The book is also a practical implementation guide for the visual effects developer, offering a lean yet adequate synopsis of the underlying mathematical theory. Chapter 1 introduces the quantitative descriptions used to capture the deformation of elastic solids, the concept of strain energy, and discusses how force and stress result as a response to deformation. Chapter 2 reviews a number of constitutive models, i.e., analytical laws linking deformation to the resulting force that has successfully been used in various graphics-oriented simulation tasks. Chapter 3 summarizes how deformation and force can be computed discretely on a tetrahedral mesh, and how an implicit integrator can be structured around this discretization. Finally, chapter 4 presents the state of the art in model reduction techniques for real-time FEM solid simulation and discusses which techniques are suitable for which applications. Topics discussed in this chapter include linear modal analysis, modal warping, subspace simulation, and domain decomposition.

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1996 with total page 948 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Modelling in Solid Mechanics written by Francesco dell'Isola and published by Springer. This book was released on 2017-03-10 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics: mathematical modelling in solid, fluid and contact mechanics nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools mechanics of fibre-reinforced materials behaviour of elasto-plastic materials accounting for the microstructural defects definition of structural defects based on the differential geometry concepts or on the atomistic basis interaction between phase transformation and dislocations at nano-scale energetic arguments bifurcation and post-buckling analysis of elasto-plastic structures engineering optimization and design, global optimization and related algorithms The book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists.

Download or read book Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids written by John D. Clayton and published by Springer. This book was released on 2019-05-17 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes thermoelastic and inelastic deformation processes in crystalline solids undergoing loading by shock compression. Constitutive models with a basis in geometrically nonlinear continuum mechanics supply these descriptions. Large deformations such as finite strains and rotations, are addressed. The book covers dominant mechanisms of nonlinear thermoelasticity, dislocation plasticity, deformation twinning, fracture, flow, and other structure changes. Rigorous derivations of theoretical results are provided, with approximately 1300 numbered equations and an extensive bibliography of over 500 historical and modern references spanning from the 1920s to the present day. Case studies contain property data, as well as analytical, and numerical solutions to shock compression problems for different materials. Such materials are metals, ceramics, and minerals, single crystalline and polycrystalline. The intended audience of this book is practicing scientists (physicists, engineers, materials scientists, and applied mathematicians) involved in advanced research on shock compression of solid materials.