Mathematical Modeling and Finite Element Analysis of Elastic-plastic Behavior
Author: Ranbir S. Sandhu
Publisher:
Published: 1981
Total Pages: 164
ISBN-13:
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Mathematical Modeling and Finite Element Analysis of Elastic-Plastic Behavior
Author: Ranbir S. Sandhu
Publisher:
Published: 1981
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKThis 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).
Computational Methods in Elasticity and Plasticity
Author: A. Anandarajah
Publisher: Springer Science & Business Media
Published: 2011-01-04
Total Pages: 665
ISBN-13: 1441963790
DOWNLOAD EBOOKComputational 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.
Mathematical Modeling of Inelastic Deformation
Author: J.F. Besseling
Publisher: CRC Press
Published: 1994-05-15
Total Pages: 344
ISBN-13: 9780412452802
DOWNLOAD EBOOKMathematical 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.
Elasto-Plasticity of Frame Structure Elements
Author: Andreas Öchsner
Publisher: Springer
Published: 2014-08-13
Total Pages: 605
ISBN-13: 3662442256
DOWNLOAD EBOOKThe 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.
Elastic-plastic Mixed-iterative Finite Element Analysis: Implementation and Performance Assessment
Author: Edhi Sutjahjo
Publisher:
Published: 1993
Total Pages: 42
ISBN-13:
DOWNLOAD EBOOKElastic-Plastic Analysis by the Hybrid-Stress Model and the Initial-Stress Approach
Author: Robert L. Spilker
Publisher:
Published: 1973
Total Pages: 95
ISBN-13:
DOWNLOAD EBOOKSITE 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).
Inelastic Analysis of Solids and Structures
Author: M. Kojic
Publisher: Springer Science & Business Media
Published: 2005-07-28
Total Pages: 419
ISBN-13: 3540265074
DOWNLOAD EBOOKInelastic 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.
Mathematical Theory of Elastic and Elasto-Plastic Bodies
Author: J. Necas
Publisher: Elsevier
Published: 2017-02-01
Total Pages: 343
ISBN-13: 148329191X
DOWNLOAD EBOOKThe 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.
Introduction to Finite Strain Theory for Continuum Elasto-Plasticity
Author: Koichi Hashiguchi
Publisher: John Wiley & Sons
Published: 2012-10-09
Total Pages: 371
ISBN-13: 1118437721
DOWNLOAD EBOOKComprehensive 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.
