Numerical Implementation And Application Of Constitutive Models In The Finite Element Method

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Constitutive Modeling of Engineering Materials

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Author : Vladimir Buljak
Publisher : Academic Press
ISBN 13 : 0128146974
Total Pages : 330 pages
Book Rating : 4.1/5 (281 download)

Book Synopsis Constitutive Modeling of Engineering Materials by : Vladimir Buljak

Download or read book Constitutive Modeling of Engineering Materials written by Vladimir Buljak and published by Academic Press. This book was released on 2021-02-18 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constitutive Modeling of Engineering Materials provides an extensive theoretical overview of elastic, plastic, damage, and fracture models, giving readers the foundational knowledge needed to successfully apply them to and solve common engineering material problems. Particular attention is given to inverse analysis, parameter identification, and the numerical implementation of models with the finite element method. Application in practice is discussed in detail, showing examples of working computer programs for simple constitutive behaviors. Examples explore the important components of material modeling which form the building blocks of any complex constitutive behavior. - Addresses complex behaviors in a wide range of materials, from polymers, to metals and shape memory alloys - Covers constitutive models with both small and large deformations - Provides detailed examples of computer implementations for material models

Crystal Plasticity Finite Element Methods

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Author : Franz Roters
Publisher : John Wiley & Sons
ISBN 13 : 3527642099
Total Pages : 188 pages
Book Rating : 4.5/5 (276 download)

Book Synopsis Crystal Plasticity Finite Element Methods by : Franz Roters

Download or read book Crystal Plasticity Finite Element Methods written by Franz Roters and published by John Wiley & Sons. This book was released on 2011-08-04 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.

The Finite Element Method for Solid and Structural Mechanics

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Author : O. C. Zienkiewicz
Publisher : Elsevier
ISBN 13 : 0080455581
Total Pages : 653 pages
Book Rating : 4.0/5 (84 download)

Book Synopsis The Finite Element Method for Solid and Structural Mechanics by : O. C. Zienkiewicz

Download or read book The Finite Element Method for Solid and Structural Mechanics written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-08-09 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. - Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor - New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling

Finite Element Analysis in Geotechnical Engineering

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Author : David M Potts
Publisher : Thomas Telford
ISBN 13 : 9780727727831
Total Pages : 456 pages
Book Rating : 4.7/5 (278 download)

Book Synopsis Finite Element Analysis in Geotechnical Engineering by : David M Potts

Download or read book Finite Element Analysis in Geotechnical Engineering written by David M Potts and published by Thomas Telford. This book was released on 2001 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: An insight into the use of the finite method in geotechnical engineering. The first volume covers the theory and the second volume covers the applications of the subject. The work examines popular constitutive models, numerical techniques and case studies.

The Finite Element Method: Theory, Implementation, and Applications

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Author : Mats G. Larson
Publisher : Springer Science & Business Media
ISBN 13 : 3642332870
Total Pages : 403 pages
Book Rating : 4.6/5 (423 download)

Book Synopsis The Finite Element Method: Theory, Implementation, and Applications by : Mats G. Larson

Download or read book The Finite Element Method: Theory, Implementation, and Applications written by Mats G. Larson and published by Springer Science & Business Media. This book was released on 2013-01-13 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.

Continuum Mechanics

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Author : Franco M. Capaldi
Publisher : Cambridge University Press
ISBN 13 : 1139510576
Total Pages : 359 pages
Book Rating : 4.1/5 (395 download)

Book Synopsis Continuum Mechanics by : Franco M. Capaldi

Download or read book Continuum Mechanics written by Franco M. Capaldi and published by Cambridge University Press. This book was released on 2012-06-18 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a modern textbook for courses in continuum mechanics. It provides both the theoretical framework and the numerical methods required to model the behaviour of continuous materials. This self-contained textbook is tailored for advanced undergraduate or first-year graduate students with numerous step-by-step derivations and worked-out examples. The author presents both the general continuum theory and the mathematics needed to apply it in practice. The derivation of constitutive models for ideal gases, fluids, solids and biological materials, and the numerical methods required to solve the resulting differential equations, are also detailed. Specifically, the text presents the theory and numerical implementation for the finite difference and the finite element methods in the Matlab® programming language. It includes thirteen detailed Matlab® programs illustrating how constitutive models are used in practice.

Finite Element Applications

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Author : Michael Okereke
Publisher : Springer
ISBN 13 : 3319671251
Total Pages : 488 pages
Book Rating : 4.3/5 (196 download)

Book Synopsis Finite Element Applications by : Michael Okereke

Download or read book Finite Element Applications written by Michael Okereke and published by Springer. This book was released on 2018-01-23 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook demonstrates the application of the finite element philosophy to the solution of real-world problems and is aimed at graduate level students, but is also suitable for advanced undergraduate students. An essential part of an engineer’s training is the development of the skills necessary to analyse and predict the behaviour of engineering systems under a wide range of potentially complex loading conditions. Only a small proportion of real-life problems can be solved analytically, and consequently, there arises the need to be able to use numerical methods capable of simulating real phenomena accurately. The finite element (FE) method is one such widely used numerical method. Finite Element Applications begins with demystifying the ‘black box’ of finite element solvers and progresses to addressing the different pillars that make up a robust finite element solution framework. These pillars include: domain creation, mesh generation and element formulations, boundary conditions, and material response considerations. Readers of this book will be equipped with the ability to develop models of real-world problems using industry-standard finite element packages.

Numerical Modeling of AAR

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Author : Victor Saouma
Publisher : CRC Press
ISBN 13 : 0415636973
Total Pages : 326 pages
Book Rating : 4.4/5 (156 download)

Book Synopsis Numerical Modeling of AAR by : Victor Saouma

Download or read book Numerical Modeling of AAR written by Victor Saouma and published by CRC Press. This book was released on 2014-02-05 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference book presents the theory and methodology to conduct a finite element assessment of concrete structures subjected to chemically induced volumetric expansion in general and alkali aggregate reaction in particular. It is limited to models developed by the author, and focuses on how to best address a simple question: if a structure suffers from AAR, how is its structural integrity jeopardized, and when would the reaction end. Subjects treated are: • Brief overview of AAR: nature of the chemical reactions, AAR in both dams and nuclear power plants, and how does it impact the mechanical properties of concrete. • Constitutive model for both the AAR expansion, and concrete nonlinearities (both smeared and discrete crack models). • Validation of the model along with a parametric study to assess what are the critical parameters in a study. • Selection of material properties for an AAR finite element simulation, followed by applications in dams and massive reinforced concrete structures. • Micro Model for improved understanding of the essence of the reaction, along with a newly proposed mathematical model for the kinetics of the reaction. • Review of relevant procedures to estimate the residual expansion of a structure suffering from AAR, along with a proposed approach to determine when the reaction will end. The book is extensively illustrated with numerous figures and provides guidance to engineers confronted with swelling in concrete infrastructures.

Constitutive Modelling of Granular Materials

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Author : Dimitrios Kolymbas
Publisher : Springer Science & Business Media
ISBN 13 : 3642570186
Total Pages : 558 pages
Book Rating : 4.6/5 (425 download)

Book Synopsis Constitutive Modelling of Granular Materials by : Dimitrios Kolymbas

Download or read book Constitutive Modelling of Granular Materials written by Dimitrios Kolymbas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Thermal Structures for Aerospace Applications

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Author : Earl Arthur Thornton
Publisher : AIAA
ISBN 13 : 9781600861260
Total Pages : 508 pages
Book Rating : 4.8/5 (612 download)

Book Synopsis Thermal Structures for Aerospace Applications by : Earl Arthur Thornton

Download or read book Thermal Structures for Aerospace Applications written by Earl Arthur Thornton and published by AIAA. This book was released on 1996 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Constitutive Models for Rubber VII

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Author : Stephen Jerrams
Publisher : CRC Press
ISBN 13 : 0415683890
Total Pages : 476 pages
Book Rating : 4.4/5 (156 download)

Book Synopsis Constitutive Models for Rubber VII by : Stephen Jerrams

Download or read book Constitutive Models for Rubber VII written by Stephen Jerrams and published by CRC Press. This book was released on 2011-09-09 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: All aspects of our lives, industry, health, travel and leisure, are utterly reliant on rubber materials, yet typically this notion rarely occurs to us. Increasingly, greater demands are made on elastomeric compounds and we seek elevated performance in terms of improved physical and chemical properties. In particular, we have come to expect rubber components (tyres, vibration isolators, seals etc) to exhibit exceptional wear and fatigue resistance, often at elevated temperatures. Unsurprisingly then, the emphasis in characterising isochoric materials has shifted significantly away from understanding and modelling hyperelastic material behaviour, to a position where we can confi dently design and manufacture rubber components having the functionality and resilience to meet the dynamic loading and harsh environmental conditions that are prevalent today. In consequence, state-of-the-art technology in terms of dynamic response and fatigue resistance are strongly represented here along with numerous insights into advanced elastomers used in novel applications. This development is not at the expense of research devoted to current test procedures and the constitutive equations and algorithms that underpin finite element methods. As a result, Constitutive Models for Rubber VII is not only essential reading for undergraduates, postgraduates, academics and researchers working in the discipline, but also for all those designers and engineers involved in the improvement of machines and devices by introducing new and novel elastomers possessing elevated properties.

Material Modeling in Finite Element Analysis

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Author : Zhaochun Yang
Publisher : CRC Press
ISBN 13 : 1000690717
Total Pages : 327 pages
Book Rating : 4.0/5 (6 download)

Book Synopsis Material Modeling in Finite Element Analysis by : Zhaochun Yang

Download or read book Material Modeling in Finite Element Analysis written by Zhaochun Yang and published by CRC Press. This book was released on 2019-10-10 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite element analysis has been widely applied in mechanical, civil, and biomedical designs. This book aims to provide the readers comprehensive views of various material models with practical examples, which would help readers understand various materials, and build appropriate material models in the finite element analysis. This book is composed of four main parts: 1) metals, 2) polymers, 3) soils, and 4) modern materials. Each part starts with the structure and function of different materials and then follows the corresponding material models such as BISO, MISO, Chaboche model in metals, Arruda-Boyce model, Mooney-Rivlin model, Ogden model in polymers, Mohr-Coulomb model, Cam Clay model and Jointed Rock model in geomechanics, composites and shape memory alloys in modern materials. The final section presents some specific problems, such as metal forming process, combustion chamber, Mullins effect of rubber tire, breast shape after breast surgery, viscoelasticity of liver soft tissues, tunnel excavation, slope stability, orthodontic wire, and piezoelectric microaccelerometer. All modeling files are provided in the appendixes of the book. This book would be helpful for graduate students and researchers in the mechanical, civil, and biomedical fields who conduct finite element analysis. The book provides all readers with comprehensive understanding of modeling various materials.

The Finite Element Method

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Author : Bofang Zhu
Publisher : John Wiley & Sons
ISBN 13 : 1119107334
Total Pages : 873 pages
Book Rating : 4.1/5 (191 download)

Book Synopsis The Finite Element Method by : Bofang Zhu

Download or read book The Finite Element Method written by Bofang Zhu and published by John Wiley & Sons. This book was released on 2018-03-12 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive review of the Finite Element Method (FEM), this book provides the fundamentals together with a wide range of applications in civil, mechanical and aeronautical engineering. It addresses both the theoretical and numerical implementation aspects of the FEM, providing examples in several important topics such as solid mechanics, fluid mechanics and heat transfer, appealing to a wide range of engineering disciplines. Written by a renowned author and academician with the Chinese Academy of Engineering, The Finite Element Method would appeal to researchers looking to understand how the fundamentals of the FEM can be applied in other disciplines. Researchers and graduate students studying hydraulic, mechanical and civil engineering will find it a practical reference text.

Analysis of Shells, Plates, and Beams

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Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3030474917
Total Pages : 504 pages
Book Rating : 4.0/5 (34 download)

Book Synopsis Analysis of Shells, Plates, and Beams by : Holm Altenbach

Download or read book Analysis of Shells, Plates, and Beams written by Holm Altenbach and published by Springer Nature. This book was released on 2020-06-03 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Nonlinear Solid Mechanics

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Author : Adnan Ibrahimbegovic
Publisher : Springer Science & Business Media
ISBN 13 : 9048123305
Total Pages : 588 pages
Book Rating : 4.0/5 (481 download)

Book Synopsis Nonlinear Solid Mechanics by : Adnan Ibrahimbegovic

Download or read book Nonlinear Solid Mechanics written by Adnan Ibrahimbegovic and published by Springer Science & Business Media. This book was released on 2009-06-02 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.

The Finite Element Method: Solid mechanics

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Author : O. C. Zienkiewicz
Publisher : Butterworth-Heinemann
ISBN 13 : 9780750650557
Total Pages : 482 pages
Book Rating : 4.6/5 (55 download)

Book Synopsis The Finite Element Method: Solid mechanics by : O. C. Zienkiewicz

Download or read book The Finite Element Method: Solid mechanics written by O. C. Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2000 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Constitutive Models for Rubber III

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Author : J. Busfield
Publisher : CRC Press
ISBN 13 : 9789058095664
Total Pages : 468 pages
Book Rating : 4.0/5 (956 download)

Book Synopsis Constitutive Models for Rubber III by : J. Busfield

Download or read book Constitutive Models for Rubber III written by J. Busfield and published by CRC Press. This book was released on 2003-01-01 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in the modelling of rubber are collated in this volume, including not only stress-strain behaviour and the use of the large strain finite element method for simulation, but also fatigue, fracture, filler reinforcement, dynamic properties and the effects of ageing.