Inelastic Behavior Of Metals And Constitutive Equations

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Inelastic Deformation of Metals

Author : Donald C. Stouffer,L. Thomas Dame
Publisher : John Wiley & Sons
Page : 522 pages
File Size : 51,5 Mb
Release : 1996-01-05
Category : Technology & Engineering
ISBN : 0471021431

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Inelastic Deformation of Metals by Donald C. Stouffer,L. Thomas Dame Pdf

Using a totally new approach, this groundbreaking book establishesthe logical connections between metallurgy, materials modeling, andnumerical applications. In recognition of the fact that classicalmethods are inadequate when time effects are present, or whencertain types of multiaxial loads are applied, the new, physicallybased state variable method has evolved to meet these needs.Inelastic Deformation of Metals is the first comprehensivepresentation of this new technology in book form. It developsphysically based, numerically efficient, and accurate methods forpredicting the inelastic response of metals under a variety ofloading and environmental conditions. More specifically, Inelastic Deformation of Metals: * Demonstrates how to use the metallurgical information to developmaterial models for structural simulations and low cyclic fatiguepredictions. It presents the key features of classical and statevariable modeling, describes the different types of models andtheir attributes, and provides methods for developing models forspecial situations. This book's innovative approach covers such newtopics as multiaxial loading, thermomechanical loading, and singlecrystal superalloys. * Provides comparisons between data and theory to help the readermake meaningful judgments about the value and accuracy of aparticular model and to instill an understanding of how metalsrespond in real service environments. * Analyzes the numerical methods associated with nonlinearconstitutive modeling, including time independent, time dependentnumerical procedures, time integration schemes, inversiontechniques, and sub-incrementing. Inelastic Deformation of Metals is designed to give theprofessional engineer and advanced student new and expandedknowledge of metals and modeling that will lead to more accuratejudgments and more efficient designs. In contrast to existing plasticity books, which discuss few if anycorrelations between data and models, this breakthrough volumeshows engineers and advanced students how materials and modelsactually do behave in real service environments. As greater demandsare placed on technology, the need for more meaningful judgmentsand more efficient designs increases dramatically. Incorporatingthe state variable approach, Inelastic Deformation of Metals: * Provides an overview of a wide variety of metal responsecharacteristics for rate dependent and rate independent loadingconditions * Shows the correlations between the mechanical response propertiesand the deformation mechanisms, and describes how to use thisinformation in constitutive modeling * Presents different modeling options and discusses the usefulnessand limitations of each modeling approach, with material parametersfor each model * Offers numerous examples of material response and correlationwith model predictions for many alloys * Shows how to implement nonlinear material models in stand-aloneconstitutive model codes and finite element codes An innovative, comprehensive, and essential book, InelasticDeformation of Metals will help practicing engineers and advancedstudents in mechanical, aerospace, civil, and metallurgicalengineering increase their professional skills in the moderntechnological environment.

Inelastic Behavior of Solids

Author : Melvin F. Kanninen
Publisher : McGraw-Hill Companies
Page : 776 pages
File Size : 55,9 Mb
Release : 1970
Category : Science
ISBN : UOM:39015002019878

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Inelastic Behavior of Solids by Melvin F. Kanninen Pdf

Inelastic Analysis of Solids and Structures

Author : M. Kojic,Klaus-Jurgen Bathe
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 51,5 Mb
Release : 2005-07-28
Category : Science
ISBN : 9783540265078

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Inelastic Analysis of Solids and Structures by M. Kojic,Klaus-Jurgen Bathe Pdf

Inelastic Analysis of Solids and Structures presents in a unified manner the physical and theoretical background of inelastic material models and computational methods, and illustrates the behavior of the models in typical engineering conditions. The book describes experimental observations and principles of mechanics, and efficient computational algorithms for stress calculations as typically performed in finite element analysis. The theoretical background is given to an extent necessary to describe the commonly employed material models in metal isotropic and orthotropic plasticity, thermoplasticity and viscoplasticity, and the plasticity of geological materials. The computational algorithms are developed in a unified manner with some detailed derivations of the algorithmic relations. Many solved examples are presented, which are designed to give insight into the material behavior in various engineering conditions, and to demonstrate the application of the computational algorithms.

Anisotropy and Localization of Plastic Deformation

Author : J.P. Boehler,Akhtar S. Khan
Publisher : Springer Science & Business Media
Page : 709 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401136440

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Anisotropy and Localization of Plastic Deformation by J.P. Boehler,Akhtar S. Khan Pdf

Present developments in materials science, mechanics and engineering, as well as the demands of modern technology, result in a new and growing interest in plasticity and in bordering domains of the mechanical behavior of materials. This growing interest is attested to by the success of both The International Journal of Plasticity, which after its inception rapidly became the leading journal for plasticity research, and the series ofInternational Symposia on Plasticity and Its Current Applications, which is now the premier international forum for plasticity research dissemination. The First International Symposium on Plasticity and Its Current Applications was conceived and organized by Professor Akhtar S. Khan, and was held at the University of Oklahoma (Norman, Oklahoma, USA) from July 30 to August 3, 1984. It was attended by over one hundred scientists from fifteen countries. "Plasticity '89: the Second International Symposium on Plasticity and Its Current Applications" was held at Mie University (Tsu, Japan) from July 31 to August 4, 1989; this symposium was co-chaired by Professors Khan and Tokuda. The main emphasis of this meeting was on dynamic plasticity and micromechanics, although it included other aspects of plasticity as well. It was attended by over two hundred researchers from twenty-three nations.

Unified Plasticity for Engineering Applications

Author : Sol R. Bodner
Publisher : Springer Science & Business Media
Page : 126 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461505518

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Unified Plasticity for Engineering Applications by Sol R. Bodner Pdf

Considerably simplified models of macroscopic material behavior, such as the idealization for metals of elastic-time independent plastic response with a yield (onset) criterion, have served the engineering profession well for many years. They are still basic to the design and analysis of most structural applications. In the need to use materials more effectively, there are circumstances where those traditional models are not adequate, and constitutive laws that are more physically realistic have to be employed. This is especially relevant to conditions where the inherent time dependence of inelastic deformations, referred to as "viscoplasticity", is pronounced such as at elevated temperatures and for high strain rates. Unified theories of elastic-viscoplastic material behavior, which are primarily applicable for metals and metallic alloys, combine all aspects of inelastic response into a set of time dependent equations with a single inelastic strain rate variable. For such theories, creep under constant stress, stress relaxation under constant strain, and stress-strain relations at constant rates are each special cases of a general formulation. Those equations mayor may not include a yield criterion, but models which do not separate a fully elastic region from the overall response could be considered "unified" in a more general sense. The theories have reached a level of development and maturity where they are being used in a number of sophisticated engineering applications. However, they have not yet become a standard method of material representation for general engineering practice.

Optimal Control and Partial Differential Equations

Author : José Luis Menaldi,Edmundo Rofman,Agnes Sulem
Publisher : IOS Press
Page : 632 pages
File Size : 55,9 Mb
Release : 2001
Category : Mathematics
ISBN : 1586030965

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Optimal Control and Partial Differential Equations by José Luis Menaldi,Edmundo Rofman,Agnes Sulem Pdf

This volume contains more than sixty invited papers of international wellknown scientists in the fields where Alain Bensoussan's contributions have been particularly important: filtering and control of stochastic systems, variationnal problems, applications to economy and finance, numerical analysis... In particular, the extended texts of the lectures of Professors Jens Frehse, Hitashi Ishii, Jacques-Louis Lions, Sanjoy Mitter, Umberto Mosco, Bernt Oksendal, George Papanicolaou, A. Shiryaev, given in the Conference held in Paris on December 4th, 2000 in honor of Professor Alain Bensoussan are included.

Large Plastic Deformations: Fundamental Aspects and Applications to Metal Forming

Author : J.L. Raphanel
Publisher : Routledge
Page : 484 pages
File Size : 41,9 Mb
Release : 2021-09-17
Category : Science
ISBN : 9781351435741

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Large Plastic Deformations: Fundamental Aspects and Applications to Metal Forming by J.L. Raphanel Pdf

This volume covers topics involving large plastic deformation of metallic materials. These proceedings offer an overview of the synergism achieved by combining microstructural characterization and understanding, mechanical modelling and experiments, numerical analysis and computation.

Inelasticity of Materials

Author : Arun R Srinivasa,Sivakumar M Srinivasan
Publisher : World Scientific Publishing Company
Page : 572 pages
File Size : 40,9 Mb
Release : 2009-07-09
Category : Technology & Engineering
ISBN : 9789813107397

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Inelasticity of Materials by Arun R Srinivasa,Sivakumar M Srinivasan Pdf

With the advent of a host of new materials ranging from shape memory alloys to biomaterials to multiphase alloys, acquiring the capacity to model inelastic behavior and to choose the right model in a commercial analysis software has become a pressing need for practicing engineers. Even with the traditional materials, there is a continued emphasis on optimizing and extending their full range of capability in the applications. This textbook builds upon the existing knowledge of elasticity and thermodynamics, and allows the reader to gain confidence in extending one's skills in understanding and analyzing problems in inelasticity. By reading this textbook and working through the assigned exercises, the reader will gain a level of comfort and competence in developing and using inelasticity models. Thus, the book serves as a valuable book for practicing engineers and senior-level undergraduate/graduate-level students in the mechanical, civil, aeronautical, metallurgical and other disciplines. The book is written in three parts. Part 1 is primarily focused on lumped parameter models and simple structural elements such as trusses and beams. This is suitable for an advanced undergraduate class with just a strength of materials background. Part II is focused on small deformation multi-dimensional inelasticity and is suitable for a beginning graduate class. Sufficient material is included on how to numerically implement an inelastic model and solve either using a simple stress function type of approach or using commercial software. Case studies are included as examples. There is also an extensive discussion of thermodynamics in the context of small deformations. Part III focuses on more advanced situations such as finite deformation inelasticity, thermodynamical ideas and crystal plasticity. More advanced case studies are included in this part. • This textbook takes a new, task- or scenario-based approach to teaching and learning inelasticity. The book is written in an active learning style that appeals to engineers and students who wish to design or analyze structures and components that are subject to inelasticity. • The book incorporates thermodynamical considerations into the modeling right from an early stage. Extensive discussions are provided throughout the book on the thermodynamical underpinnings of the models. • This textbook is the first to make extensive use of MATLAB to implement many inelasticity models. It includes the use of concepts such as Airy stress functions to solve plane problems for inelastic materials. The MATLAB codes are listed in the appendix for one to modify with their own models and requirements. • Step-by-step procedures for formulations and calculations are provided for the reader to readily adapt to the inelastic problems that he or she attempts to solve. • A large number of problems, exercises and projects for one to teach or learn from are included. These can be assigned as homework, in-class exercises or projects. • The book is written in a modular fashion, which provides adequate flexibility for adaptation in classes that cater to different audiences such as senior-level students, graduate students, research scholars, and practicing engineers.

Mechanics of Composite Materials

Author : Jacob Aboudi
Publisher : Elsevier
Page : 341 pages
File Size : 42,9 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483290997

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Mechanics of Composite Materials by Jacob Aboudi Pdf

In the last decade the author has been engaged in developing a micromechanical composite model based on the study of interacting periodic cells. In this two-phase model, the inclusion is assumed to occupy a single cell whereas the matrix material occupies several surrounding cells. A prominent feature of the micromechanical method of cells is the transition from a medium, with a periodic microstructure to an equivalent homogeneous continuum which effectively represents the composite material. Of great importance is the significant advantage of the cells model in its capability to analyze elastic as well as nonelastic constituents (e.g. viscoelastic, elastoplastic and nonlinear elastic), thus forming a unified approach in the prediction of the overall behaviour of composite material. This book deals almost exclusively with this unified theory and its various applications.

Applied Mechanics Reviews

Author : Anonim
Publisher : Unknown
Page : 952 pages
File Size : 55,7 Mb
Release : 1975
Category : Mechanics, Applied
ISBN : UIUC:30112032440874

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Applied Mechanics Reviews by Anonim Pdf

Advances in Mathematical Modeling and Experimental Methods for Materials and Structures

Author : Rivka Gilat,Leslie Banks-Sills
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 50,6 Mb
Release : 2009-12-18
Category : Science
ISBN : 9789048134670

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Advances in Mathematical Modeling and Experimental Methods for Materials and Structures by Rivka Gilat,Leslie Banks-Sills Pdf

This collection of cutting-edge papers, written by leading authors in honor of Professor Jacob Aboudi, covers a wide spectrum of topics in the field, presents both theoretical and experimental approaches, and suggests directions for possible future research.

NASA Technical Paper

Author : Anonim
Publisher : Unknown
Page : 24 pages
File Size : 48,9 Mb
Release : 1988
Category : Science
ISBN : STANFORD:36105024770062

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NASA Technical Paper by Anonim Pdf

Unified Constitutive Equations for Creep and Plasticity

Author : A.K. Miller
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789400934399

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Unified Constitutive Equations for Creep and Plasticity by A.K. Miller Pdf

Constitutive equations refer to 'the equations that constitute the material response' at any point within an object. They are one of the ingredients necessary to predict the deformation and fracture response of solid bodies (among other ingredients such as the equations of equilibrium and compatibility and mathematical descriptions of the configuration and loading history). These ingredients are generally combined together in complicated computer programs, such as finite element analyses, which serve to both codify the pertinent knowledge and to provide convenient tools for making predictions of peak stresses, plastic strain ranges, crack growth rates, and other quantities of interest. Such predictions fall largely into two classes: structural analysis and manufacturing analysis. In the first category, the usual purpose is life prediction, for assessment of safety, reliability, durability, and/or operational strategies. Some high-technology systems limited by mechanical behavior, and therefore requiring accurate life assess ments, include rocket engines (the space-shuttle main engine being a prominent example), piping and pressure vessels in nuclear and non-nuclear power plants (for example, heat exchanger tubes in solar central receivers and reformer tubes in high-temperature gas-cooled reactors used for process heat applications), and the ubiquitous example of the jet engine turbine blade. In structural analysis, one is sometimes concerned with predicting distortion per se, but more often, one is concerned with predicting fracture; in these cases the informa tion about deformation is an intermediate result en route to the final goal of a life prediction.

Energy Research Abstracts

Author : Anonim
Publisher : Unknown
Page : 606 pages
File Size : 54,5 Mb
Release : 1981
Category : Power resources
ISBN : MINN:30000010513947

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Energy Research Abstracts by Anonim Pdf