Download or read book Mathematical Modeling and Finite Element Analysis of Elastic plastic Behavior written by Ranbir S. Sandhu and published by . This book was released on 1981 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Modeling and Finite Element Analysis of Elastic Plastic Behavior written by Ranbir S. Sandhu and published by . This book was released on 1981 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This investigation is motivated by the need to study the cyclic plasticity response of standard aerospace fasteners within the context of finite element analysis. The available literature on mathematical models of plasticity along with their implementation in finite element procedures was reviewed. The investigation was limited to models of rate-independent plasticity based on the existence of a yield surface and the incremental (rate-type) theory of plasticity. Section II of the report introduces certain definitions and basic concepts including a discussion of the typical response of metals to cyclic loading. The mathematical models of the plastic behavior of metals are reviewed in Section III. Section IV covers the finite element implementation of certain models. A summary and some recommendations for future investigations are presented in Section V. (Author).
Download or read book Computational Methods in Elasticity and Plasticity written by A. Anandarajah and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Elasticity and Plasticity: Solids and Porous Media presents the latest developments in the area of elastic and elasto-plastic finite element modeling of solids, porous media and pressure-dependent materials and structures. The book covers the following topics in depth: the mathematical foundations of solid mechanics, the finite element method for solids and porous media, the theory of plasticity and the finite element implementation of elasto-plastic constitutive models. The book also includes: -A detailed coverage of elasticity for isotropic and anisotropic solids. -A detailed treatment of nonlinear iterative methods that could be used for nonlinear elastic and elasto-plastic analyses. -A detailed treatment of a kinematic hardening von Mises model that could be used to simulate cyclic behavior of solids. -Discussion of recent advances in the analysis of porous media and pressure-dependent materials in more detail than other books currently available. Computational Methods in Elasticity and Plasticity: Solids and Porous Media also contains problem sets, worked examples and a solutions manual for instructors.
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 Elasto Plasticity of Frame Structure Elements written by Andreas Öchsner and published by Springer. This book was released on 2014-08-13 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method is a powerful tool even for non-linear materials’ modeling. But commercial solutions are limited and many novel materials do not follow standard constitutive equations on a macroscopic scale. Thus, is it required that new constitutive equations are implemented into the finite element code. However, it is not sufficient to simply implement only the equations but also an appropriate integration algorithm for the constitutive equation must be provided. This book is restricted to one-dimensional plasticity in order to reduce and facilitate the mathematical formalism and theory and to concentrate on the basic ideas of elasto-plastic finite element procedures. A comprehensive set of completely solved problems is designed for the thorough understand of the presented theory. After working with this new book and reviewing the provided solved and supplementary problems, it should be much easier to study and understand the advanced theory and the respective text books.
Download or read book Elastic plastic Mixed iterative Finite Element Analysis Implementation and Performance Assessment written by Edhi Sutjahjo and published by . This book was released on 1993 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Inelastic Analysis of Solids and Structures written by M. Kojic and published by Springer Science & Business Media. This book was released on 2005-07-28 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Elastic Plastic Analysis by the Hybrid Stress Model and the Initial Stress Approach written by Robert L. Spilker and published by . This book was released on 1973 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: SITE MATERIALS, Structures, Fibers, Mathematical models, Stresses, Stress strain relations, Static loadsFinite element analysisA finite-element elastic-plastic incremental procedure for the static analysis of structures whose initially-isotropic material behavior may be elastic, perfectly-plastic or strain hardening has been developed and implemented in a breadboard computer program. The formulation is based on the assumed-stress hybrid model and the initial stress included by modifying the conventional hybrid functional, resulting in a consistently derived equivalent load vector due to the initial stress. Also included in the formulation is an equivalent load term corresponding to the possible compatibility mismatch at each incremental step. The formulation and the corresponding solution procedure are evaluated using a particular plane-stress example, and convergence of the solution is shown. (Author).
Download or read book Computational Methods for Plasticity written by Eduardo A. de Souza Neto and published by John Wiley & Sons. This book was released on 2011-09-21 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of computational plasticity encapsulates the numerical methods used for the finite element simulation of the behaviour of a wide range of engineering materials considered to be plastic – i.e. those that undergo a permanent change of shape in response to an applied force. Computational Methods for Plasticity: Theory and Applications describes the theory of the associated numerical methods for the simulation of a wide range of plastic engineering materials; from the simplest infinitesimal plasticity theory to more complex damage mechanics and finite strain crystal plasticity models. It is split into three parts - basic concepts, small strains and large strains. Beginning with elementary theory and progressing to advanced, complex theory and computer implementation, it is suitable for use at both introductory and advanced levels. The book: Offers a self-contained text that allows the reader to learn computational plasticity theory and its implementation from one volume. Includes many numerical examples that illustrate the application of the methodologies described. Provides introductory material on related disciplines and procedures such as tensor analysis, continuum mechanics and finite elements for non-linear solid mechanics. Is accompanied by purpose-developed finite element software that illustrates many of the techniques discussed in the text, downloadable from the book’s companion website. This comprehensive text will appeal to postgraduate and graduate students of civil, mechanical, aerospace and materials engineering as well as applied mathematics and courses with computational mechanics components. It will also be of interest to research engineers, scientists and software developers working in the field of computational solid mechanics.
Download or read book Mathematical Theory of Elastic and Elasto Plastic Bodies written by J. Necas and published by Elsevier. This book was released on 2017-02-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book acquaints the reader with the basic concepts and relations of elasticity and plasticity, and also with the contemporary state of the theory, covering such aspects as the nonlinear models of elasto-plastic bodies and of large deflections of plates, unilateral boundary value problems, variational principles, the finite element method, and so on.
Download or read book Introduction to Finite Strain Theory for Continuum Elasto Plasticity written by Koichi Hashiguchi and published by John Wiley & Sons. This book was released on 2012-10-09 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive introduction to finite elastoplasticity, addressing various analytical and numerical analyses & including state-of-the-art theories Introduction to Finite Elastoplasticity presents introductory explanations that can be readily understood by readers with only a basic knowledge of elastoplasticity, showing physical backgrounds of concepts in detail and derivation processes of almost all equations. The authors address various analytical and numerical finite strain analyses, including new theories developed in recent years, and explain fundamentals including the push-forward and pull-back operations and the Lie derivatives of tensors. As a foundation to finite strain theory, the authors begin by addressing the advanced mathematical and physical properties of continuum mechanics. They progress to explain a finite elastoplastic constitutive model, discuss numerical issues on stress computation, implement the numerical algorithms for stress computation into large-deformation finite element analysis and illustrate several numerical examples of boundary-value problems. Programs for the stress computation of finite elastoplastic models explained in this book are included in an appendix, and the code can be downloaded from an accompanying website.
Download or read book Finite Elements in Structural Analysis written by and published by . This book was released on 1976 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plasticity and Beyond written by Jörg Schröder and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the latest findings in experimental plasticity, crystal plasticity, phase transitions, advanced mathematical modeling of finite plasticity and multi-scale modeling. The associated algorithmic treatment is mainly based on finite element formulations for standard (local approach) as well as for non-standard (non-local approach) continua and for pure macroscopic as well as for directly coupled two-scale boundary value problems. Applications in the area of material design/processing are covered, ranging from grain boundary effects in polycrystals and phase transitions to deep-drawing of multiphase steels by directly taking into account random microstructures.
Download or read book Analysis of Engineering Structures and Material Behavior written by Josip Brnic and published by John Wiley & Sons. This book was released on 2018-05-07 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical and experimental study of the mechanical behavior of structures under load Analysis of Engineering Structures and Material Behavior is a textbook covering introductory and advanced topics in structural analysis. It begins with an introduction to the topic, before covering fundamental concepts of stress, strain and information about mechanical testing of materials. Material behaviors, yield criteria and loads imposed on the engineering elements are also discussed. The book then moves on to cover more advanced areas including relationships between stress and strain, rheological models, creep of metallic materials and fracture mechanics. Finally, the finite element method and its applications are considered. Key features: Covers introductory and advanced topics in structural analysis, including load, stress, strain, creep, fatigue and finite element analysis of structural elements. Includes examples and considers mathematical formulations. A pedagogical approach to the topic. Analysis of Engineering Structures and Material Behavior is suitable as a textbook for structural analysis and mechanics courses in structural, civil and mechanical engineering, as well as a valuable guide for practicing engineers.
Download or read book Plasticity written by Ronaldo I. Borja and published by Springer Science & Business Media. This book was released on 2013-06-14 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been many excellent books written on the subject of plastic deformation in solids, but rarely can one find a textbook on this subject. “Plasticity Modeling & Computation” is a textbook written specifically for students who want to learn the theoretical, mathematical, and computational aspects of inelastic deformation in solids. It adopts a simple narrative style that is not mathematically overbearing, and has been written to emulate a professor giving a lecture on this subject inside a classroom. Each section is written to provide a balance between the relevant equations and the explanations behind them. Where relevant, sections end with one or more exercises designed to reinforce the understanding of the “lecture.” Color figures enhance the presentation and make the book very pleasant to read. For professors planning to use this textbook for their classes, the contents are sufficient for Parts A and B that can be taught in sequence over a period of two semesters or quarters.
Download or read book Finite Element Modeling of Metal Foam Structures Subject to Compressive Loading written by Rabon E. Cooke and published by . This book was released on 2001-12 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unit-cell model was developed for open metallic foams in order to predict their effective elastic moduli and the plastic collapse strengths The model is based on the metallic ligament frame of tetrakaidecahedral shape The flame structure of the unit-cell was analyzed using the finite element method, The plastic collapse strength was determined% when the joints of ligaments became plastic hinges under the assumption of elastic-perfectly plastic material behavior of the metallic material Both elastic modulus and plastic collapse strength were computed using a single step of finite element analysis without any iterative or incremental procedure In addition, a very small number of finite elements used, As a result, the unit-cell is computationally very efficient, The next study considered the effective elastic moduli and plastic collapse strengths of the same metallic foams filled with a viscoelastic material For this study, the unit-cell model was modified The model considered the ligament flame structure supported by viscoelastic foundation that represented the filler material In order to validate the unit-cell models, experiments were also conducted, The experimental data agreed very well with the predicted values of both stiffness and strength, Proper design of the materials studied here can have high strength and stiffness, low weight, high damping properties so that they may be useful for multifunctional materials that can be used in the Navy and Department of Defense applications,
Download or read book Numerical Modelling of Material Deformation Processes written by Peter Hartley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim of this text is to encourage the development and application of numerical modelling techniques as an aid to achieving greater efficiency and optimization of metal-forming processes. The contents of this book have therefore been carefully planned to provide both an introduction to the fundamental theory of material deformation simulation, and also a comprehensive survey of the "state-of-the-art" of deformation modelling techniques and their application to specific and industrially relevant processes. To this end, leading international figures in the field of material deformation research have been invited to contribute chapters on subjects on which they are acknowledged experts. The information in this book has been arranged in four parts: Part I deals with plasticity theory, Part II with various numerical modelling techniques, Part III with specific process applications and material phenomena and Part IV with integrated computer systems. The objective of Part I is to establish the underlying theory of material deformation on which the following chapters can build. It begins with a chapter which reviews the basic theories of classical plasticity and describes their analytical representations. The second chapter moves on to look at the theory of deforming materials and shows how these expressions may be used in numerical techniques. The last two chapters of Part I provide a review of isotropic plasticity and anisotropic plasticity.
