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Modern Approaches To Plasticity

Author: D. Kolymbas
Publisher: Elsevier
ISBN: 0444599304
Size: 71.12 MB
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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.

Principles Of Hyperplasticity

Author: Guy T. Houlsby
Publisher: Springer Science & Business Media
ISBN: 1846282403
Size: 55.43 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.

Elastoplasticity Theory

Author: Koichi Hashiguchi
Publisher: Springer Science & Business Media
ISBN: 3642358497
Size: 48.92 MB
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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.

Bifurcation And Localisation Theory In Geomechanics

Author: A.V. Dyskin
Publisher: CRC Press
ISBN: 9789026518232
Size: 42.67 MB
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This work contains proceedings of a workshop on Bifurcation and Localisation Theory in Geomechanics, held in Perth, Australia in 1999. It covers a range of themes from classic civil engineering subjects to non-linear and non-unique geological phenomena.

Constitutive Modelling Of Granular Materials

Author: Dimitrios Kolymbas
Publisher: Springer Science & Business Media
ISBN: 9783540669197
Size: 22.33 MB
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In view of its extreme complexity the mathematical description of the mechanical behaviour of granular materials is an extremely difficult task. Today many different models compete with each other. However, the complexity of the models hinders their comparison, and the potential users are confused and, often, disencouraged. This book is expected to serve as a milestone in the present situation, to evaluate the present methodes, to clear up the situation, to focus and encourage for further research activities.

Plasticity Of Cold Worked Metals

Author: A. Paglietti
Publisher: WIT Press
ISBN: 1845640659
Size: 73.46 MB
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Plasticity theory is a tool used in structural analysis to evaluate the ultimate strength and the post-elastic behavior of ductile structures, explains Paglietti (strength of metals and engineering, U. of Cagliari, Italy), but its application to real materials is undermined by the evolution law of the yield surface, also known as the work-hardening

Foundations Of The Theory Of Elasticity Plasticity And Viscoelasticity

Author: Eduard Starovoitov
Publisher: CRC Press
ISBN: 1926895118
Size: 67.67 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.

Advanced Mathematical And Computational Geomechanics

Author: Dimitrios Kolymbas
Publisher: Springer Science & Business Media
ISBN: 3540450793
Size: 41.20 MB
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Geomechanics is the mechanics of geomaterials, i.e. soils and rocks, and deals with fascinating problems such as settlements, stability of excavations, tunnels and offshore platforms, landslides, earthquakes and liquefaction. This edited book presents recent mathematical and computational tools and models to describe and simulate such problems in Geomechanics and Geotechnical Engineering. It includes a collection of contributions emanating from the three Euroconferences GeoMath ("Mathematical Methods in Geomechanics") that were held between 2000 and 2002 in Innsbruck/Austria and Horto/Greece.

Cognitive Plasticity In Neurologic Disorders

Author: Joseph I Tracy
Publisher: Oxford University Press
ISBN: 0190205466
Size: 51.51 MB
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Cognitive Plasticity in Neurologic Disorders describes and specifies the cognitive impact of neuroplastic processes in key neurologic disorders and syndromes. It is set apart from previous works in this area by its emphasis on the changing quality of neurocognition, demonstrating that this dynamic nature emerges from the neuroplastic processes at work in both mild and severe states of brain disease or injury. This resource describes the ways neurological illness or trauma (or attempts to treat patients with such conditions) can trigger neuroplastic mechanisms in the brain, inducing cognitive reorganization and remapping of brain networks. Each chapter shows how the cognitive and behavioral presentation of the disorder mirrors the changing neurobiologic context, and displays the numerous techniques being employed (e.g. behavior and rehabilitation therapies, electrical stimulation, and computer/machine neuromodulation of brain signals) underlying the neurobiology in ways that facilitate adaptive plasticity and cognitive recovery. An important feature of the book involves characterizing the degree to which the mechanistic principles governing neuroplastic responses and cognitive reorganization in the brain have been elucidated, making clear that it is these principles which will allow us to further develop rational rehabilitative therapies, match patients to appropriate treatments, and even begin to predict clinical treatment outcomes.