Engineering Analysis Using Abaqus Software

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Troubleshooting Finite-Element Modeling with Abaqus

Author : Raphael Jean Boulbes
Publisher : Springer Nature
ISBN 13 : 3030267407
Total Pages : 439 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Troubleshooting Finite-Element Modeling with Abaqus by : Raphael Jean Boulbes

Download or read book Troubleshooting Finite-Element Modeling with Abaqus written by Raphael Jean Boulbes and published by Springer Nature. This book was released on 2019-09-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives Abaqus users who make use of finite-element models in academic or practitioner-based research the in-depth program knowledge that allows them to debug a structural analysis model. The book provides many methods and guidelines for different analysis types and modes, that will help readers to solve problems that can arise with Abaqus if a structural model fails to converge to a solution. The use of Abaqus affords a general checklist approach to debugging analysis models, which can also be applied to structural analysis. The author uses step-by-step methods and detailed explanations of special features in order to identify the solutions to a variety of problems with finite-element models. The book promotes: • a diagnostic mode of thinking concerning error messages; • better material definition and the writing of user material subroutines; • work with the Abaqus mesher and best practice in doing so; • the writing of user element subroutines and contact features with convergence issues; and • consideration of hardware and software issues and a Windows HPC cluster solution. The methods and information provided facilitate job diagnostics and help to obtain converged solutions for finite-element models regarding structural component assemblies in static or dynamic analysis. The troubleshooting advice ensures that these solutions are both high-quality and cost-effective according to practical experience. The book offers an in-depth guide for students learning about Abaqus, as each problem and solution are complemented by examples and straightforward explanations. It is also useful for academics and structural engineers wishing to debug Abaqus models on the basis of error and warning messages that arise during finite-element modelling processing.

Engineering Analysis Using Abaqus Software

Author : Dr. Abhinav
Publisher : Shashwat Publication
ISBN 13 : 9360871648
Total Pages : 259 pages
Book Rating : 4.3/5 (68 download)

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Book Synopsis Engineering Analysis Using Abaqus Software by : Dr. Abhinav

Download or read book Engineering Analysis Using Abaqus Software written by Dr. Abhinav and published by Shashwat Publication. This book was released on 2024-01-30 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a series of hands-on exercises utilizing Abaqus software. The exercises cover a diverse range of applications, enabling readers to explore the intricacies of various engineering scenarios. The book encompasses real engineering topics, including Revit design and analysis, plate roll bending, deep drawing, tensile testing, and the crushing of a tube, as well as bridge optimization, fiber composite analysis, cylinder twist, metal forming, and metal bending. Tailored for students, researchers, and practicing engineers aiming to enhance their skills in finite element analysis and simulation using Abaqus software, this book goes beyond teaching individual skills. It aims to instill a deeper appreciation for the complexities and interdependencies within the vast field of engineering. As you embark on the learning exercises, take the time to immerse yourself in the hands-on activities, embrace the challenges, and relish the joy of applying concepts to real engineering scenarios.

Solving Complex Problems for Structures and Bridges using ABAQUS Finite Element Package

Author : Farzad Hejazi
Publisher : CRC Press
ISBN 13 : 1000479005
Total Pages : 322 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Solving Complex Problems for Structures and Bridges using ABAQUS Finite Element Package by : Farzad Hejazi

Download or read book Solving Complex Problems for Structures and Bridges using ABAQUS Finite Element Package written by Farzad Hejazi and published by CRC Press. This book was released on 2021-11-25 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present specific complicated and puzzling challenges encountered for application of the Finite Element Method (FEM) in solving Structural Engineering problems by using ABAQUS software, which can fully utilize this method in complex simulation and analysis. Therefore, an attempt has been to demonstrate the all process for modeling and analysis of impenetrable problems through simplified step by step illustrations with presenting screenshots from software in each part and also showing graphs. Farzad Hejazi is the Associate Professor in the Department of Civil Engineering, Faculty of Engineering, University Putra Malaysia (UPM), and a Senior Visiting Academic at the University of Sheffield, UK. Hojjat Mohammadi Esfahani,an expert on Finite Element Simulation,has more than 10 years of experience in the teaching and training of Finite Element packages, such as ABAQUS.

Finite Element Analysis Applications and Solved Problems Using Abaqus

Author : Mohammadhossein Mamaghani
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781544625270
Total Pages : 372 pages
Book Rating : 4.6/5 (252 download)

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Book Synopsis Finite Element Analysis Applications and Solved Problems Using Abaqus by : Mohammadhossein Mamaghani

Download or read book Finite Element Analysis Applications and Solved Problems Using Abaqus written by Mohammadhossein Mamaghani and published by Createspace Independent Publishing Platform. This book was released on 2017-08-17 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Analysis Applications and Solved Problems using ABAQUS The main objective of this book is to provide the civil engineering students and industry professionals with straightforward step-by-step guidelines and essential information on how to use Abaqus(R) software in order to apply the Finite Element Method to variety of civil engineering problems. The readers may find this book fundamentally different from the conventional Finite Element Method textbooks in a way that it is written as a Problem-Based Learning (PBL) publication. Its main focus is to teach the user the introductory and advanced features and commands of Abaqus(R) for analysis and modeling of civil engineering problems. The book is mainly written for the undergraduate and graduate engineering students who want to learn the software in order to use it for their course projects or graduate research work. Moreover, the industry professionals in different fields of Finite Element Analysis may also find this book useful as it utilizes a step-by-step and straightforward methodology for each presented problem. In general, the book is comprised of eleven chapters, nine of which provide basic to advance knowledge of modeling the structural engineering problems; such as extracting beam internal forces, settlements, buckling analysis, stress concentrations, concrete columns, steel connections, pre-stressed concrete beams, steel plate shear walls, and, Fiber Reinforce Polymer (FRP) modeling. There also exist two chapters that depict geotechnical problems including a concrete retaining wall as well as the modeling and analysis of a masonry wall. Each chapter of this book elaborates on how to create the FEA model for the presented civil engineering problem and how to perform the FEA analysis for the created model. The model creation procedure is proposed in a step-by-step manner, so that the book provides significant learning help for students and professionals in civil engineering industry who want to learn Abaqus(R) to perform Finite Element modeling of the real world problems for their assignments, projects or research. The essential prerequisite technical knowledge to start the book is basic fundamental knowledge of structural analysis and computer skills, which is mostly met and satisfied for civil engineering students by the time that they embark on learning Finite Element Analysis. This publication is the result of the authors' teaching Finite Element Analysis and the Abaqus(R) software to civil engineering graduate students at Syracuse University in the past years. The authors hope that this book serves the reader as a straightforward self-study reference to learn the software and acquire the technical competence in using it towards more sophisticated real-world problems. -Hossein Ataei, PhD, PE, PEng University of Illinois at Chicago -Mohammadhossein Mamaghani, MS, EIT Syracuse University

Interpretive Solutions for Dynamic Structures Through ABAQUS Finite Element Packages

Author : Farzad Hejazi
Publisher : CRC Press
ISBN 13 : 1000518868
Total Pages : 335 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Interpretive Solutions for Dynamic Structures Through ABAQUS Finite Element Packages by : Farzad Hejazi

Download or read book Interpretive Solutions for Dynamic Structures Through ABAQUS Finite Element Packages written by Farzad Hejazi and published by CRC Press. This book was released on 2021-12-14 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusses on solving problems in the Structural Dynamics using ABAQUS Software. Helps analyze and model different types of structures with various dynamic and cyclic loads. Discusses simulation of irregular-shaped objects composed of several different materials with multipart boundary conditions. Includes application of various load effects to the developed structural models in ABAQUS Software. Covers broad array of applications such as bridges, offshores, dam, seismic resistant systems, and so forth.

Introduction to Finite Element Analysis Using MATLAB® and Abaqus

Author : Amar Khennane
Publisher : CRC Press
ISBN 13 : 1466580208
Total Pages : 490 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Introduction to Finite Element Analysis Using MATLAB® and Abaqus by : Amar Khennane

Download or read book Introduction to Finite Element Analysis Using MATLAB® and Abaqus written by Amar Khennane and published by CRC Press. This book was released on 2013-06-10 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MATLAB® and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite element method while maintaining a balance between its mathematical formulation, programming implementation, and application using commercial software. The computer implementation is carried out using MATLAB, while the practical applications are carried out in both MATLAB and Abaqus. MATLAB is a high-level language specially designed for dealing with matrices, making it particularly suited for programming the finite element method, while Abaqus is a suite of commercial finite element software. Includes more than 100 tables, photographs, and figures Provides MATLAB codes to generate contour plots for sample results Introduction to Finite Element Analysis Using MATLAB and Abaqus introduces and explains theory in each chapter, and provides corresponding examples. It offers introductory notes and provides matrix structural analysis for trusses, beams, and frames. The book examines the theories of stress and strain and the relationships between them. The author then covers weighted residual methods and finite element approximation and numerical integration. He presents the finite element formulation for plane stress/strain problems, introduces axisymmetric problems, and highlights the theory of plates. The text supplies step-by-step procedures for solving problems with Abaqus interactive and keyword editions. The described procedures are implemented as MATLAB codes and Abaqus files can be found on the CRC Press website.

Engineering Analysis with ANSYS Software

Author : Tadeusz Stolarski
Publisher : Butterworth-Heinemann
ISBN 13 : 0081021658
Total Pages : 562 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Engineering Analysis with ANSYS Software by : Tadeusz Stolarski

Download or read book Engineering Analysis with ANSYS Software written by Tadeusz Stolarski and published by Butterworth-Heinemann. This book was released on 2018-01-10 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering Analysis with ANSYS Software, Second Edition, provides a comprehensive introduction to fundamental areas of engineering analysis needed for research or commercial engineering projects. The book introduces the principles of the finite element method, presents an overview of ANSYS technologies, then covers key application areas in detail. This new edition updates the latest version of ANSYS, describes how to use FLUENT for CFD FEA, and includes more worked examples. With detailed step-by-step explanations and sample problems, this book develops the reader’s understanding of FEA and their ability to use ANSYS software tools to solve a range of analysis problems. Uses detailed and clear step-by-step instructions, worked examples and screen-by-screen illustrative problems to reinforce learning Updates the latest version of ANSYS, using FLUENT instead of FLOWTRAN Includes instructions for use of WORKBENCH Features additional worked examples to show engineering analysis in a broader range of practical engineering applications

Finite Element Analysis of Composite Materials using AbaqusTM

Author : Ever J. Barbero
Publisher : CRC Press
ISBN 13 : 1466516631
Total Pages : 444 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Finite Element Analysis of Composite Materials using AbaqusTM by : Ever J. Barbero

Finite Element Analysis of Composite Materials using AbaqusTM

Author : Ever J. Barbero
Publisher : CRC Press
ISBN 13 : 1466516615
Total Pages : 445 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Finite Element Analysis of Composite Materials using AbaqusTM by : Ever J. Barbero

Download or read book Finite Element Analysis of Composite Materials using AbaqusTM written by Ever J. Barbero and published by CRC Press. This book was released on 2013-04-18 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from the author’s graduate-level course on advanced mechanics of composite materials, Finite Element Analysis of Composite Materials with AbaqusTM shows how powerful finite element tools address practical problems in the structural analysis of composites. Unlike other texts, this one takes the theory to a hands-on level by actually solving problems. It explains the concepts involved in the detailed analysis of composites, the mechanics needed to translate those concepts into a mathematical representation of the physical reality, and the solution of the resulting boundary value problems using the commercial finite element analysis software Abaqus. The first seven chapters provide material ideal for a one-semester course. Along with offering an introduction to finite element analysis for readers without prior knowledge of the finite element method (FEM), these chapters cover the elasticity and strength of laminates, buckling analysis, free edge stresses, computational micromechanics, and viscoelastic models and composites. Emphasizing hereditary phenomena, the book goes on to discuss continuum and discrete damage mechanics as well as delaminations. More than 50 fully developed examples are interspersed with the theory, more than 75 exercises are included at the end of each chapter, and more than 50 separate pieces of Abaqus pseudocode illustrate the solution of example problems. The author’s website offers the relevant Abaqus and MATLAB® model files available for download, enabling readers to easily reproduce the examples and complete the exercises. The text also shows readers how to extend the capabilities of Abaqus via "user subroutines" and Python scripting.

ABAQUS for Engineers

Author : Ryan Lee
Publisher :
ISBN 13 : 9781696288590
Total Pages : 251 pages
Book Rating : 4.2/5 (885 download)

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Book Synopsis ABAQUS for Engineers by : Ryan Lee

Download or read book ABAQUS for Engineers written by Ryan Lee and published by . This book was released on 2019-09-28 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tutorial book provides unified and detailed tutorials of ABAQUS FE analysis for engineers and university students to solve primarily in mechanical and civil engineering, with the main focus on structural mechanics and heat transfer. The aim of this book is to provide the practical skills of the FE analysis for readers to be able to use ABAQUS FEM package comfortably to solve practical problems. Total 15 workshop tutorials dealing with various engineering fields are presented. Access code for the workshop models was included. This book will help you learn ABAQUS FE analysis by examples in a professional manner without instructors.

Introduction to Finite Element Analysis Using MATLAB and Abaqus

Author : Amar Khennane
Publisher :
ISBN 13 : 9781628707496
Total Pages : 457 pages
Book Rating : 4.7/5 (74 download)

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Book Synopsis Introduction to Finite Element Analysis Using MATLAB and Abaqus by : Amar Khennane

Download or read book Introduction to Finite Element Analysis Using MATLAB and Abaqus written by Amar Khennane and published by . This book was released on 2013 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book introduces the theory of the finite element method using a balanced approach between its mathematical formulations and programming implementation. The computer implementation is carried out using MATLAB, while the practical applications are carried out in both MATLAB and Abaqus. All of the key steps are presented in great detail. MATLAB will allow the reader to focus on the finite element method by alleviating the programming burden. Detailed step-by-step procedures for solving sample problems with Abaqus interactive and keyword editions are provided at the end of each chapter"--

Applied Soil Mechanics with ABAQUS Applications

Author : Sam Helwany
Publisher : John Wiley & Sons
ISBN 13 : 0471791075
Total Pages : 402 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Applied Soil Mechanics with ABAQUS Applications by : Sam Helwany

Download or read book Applied Soil Mechanics with ABAQUS Applications written by Sam Helwany and published by John Wiley & Sons. This book was released on 2007-03-16 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: A simplified approach to applying the Finite Element Method to geotechnical problems Predicting soil behavior by constitutive equations that are based on experimental findings and embodied in numerical methods, such as the finite element method, is a significant aspect of soil mechanics. Engineers are able to solve a wide range of geotechnical engineering problems, especially inherently complex ones that resist traditional analysis. Applied Soil Mechanics with ABAQUS® Applications provides civil engineering students and practitioners with a simple, basic introduction to applying the finite element method to soil mechanics problems. Accessible to someone with little background in soil mechanics and finite element analysis, Applied Soil Mechanics with ABAQUS® Applications explains the basic concepts of soil mechanics and then prepares the reader for solving geotechnical engineering problems using both traditional engineering solutions and the more versatile, finite element solutions. Topics covered include: Properties of Soil Elasticity and Plasticity Stresses in Soil Consolidation Shear Strength of Soil Shallow Foundations Lateral Earth Pressure and Retaining Walls Piles and Pile Groups Seepage Taking a unique approach, the author describes the general soil mechanics for each topic, shows traditional applications of these principles with longhand solutions, and then presents finite element solutions for the same applications, comparing both. The book is prepared with ABAQUS® software applications to enable a range of readers to experiment firsthand with the principles described in the book (the software application files are available under "student resources" at www.wiley.com/college/helwany). By presenting both the traditional solutions alongside the FEM solutions, Applied Soil Mechanics with ABAQUS® Applications is an ideal introduction to traditional soil mechanics and a guide to alternative solutions and emergent methods. Dr. Helwany also has an online course based on the book available at www.geomilwaukee.com.

Engineering Analysis

Author : Yen-Ching Pao
Publisher : CRC Press
ISBN 13 : 1420049615
Total Pages : 400 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Engineering Analysis by : Yen-Ching Pao

Download or read book Engineering Analysis written by Yen-Ching Pao and published by CRC Press. This book was released on 2019-04-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise introduction to numerical concepts in engineering analysis, using FORTRAN, QuickBASIC, MATLAB, and Mathematica to illustrate the examples. Discussions include: matrix algebra and analysis solution of matrix equations methods of curve fit methods for finding the roots of polynom

Introduction to Finite Element Analysis and Design

Author : Nam H. Kim
Publisher : John Wiley & Sons
ISBN 13 : 1119078733
Total Pages : 552 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Introduction to Finite Element Analysis and Design by : Nam H. Kim

Download or read book Introduction to Finite Element Analysis and Design written by Nam H. Kim and published by John Wiley & Sons. This book was released on 2018-05-24 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the basic concepts of FEM in an easy-to-use format so that students and professionals can use the method efficiently and interpret results properly Finite element method (FEM) is a powerful tool for solving engineering problems both in solid structural mechanics and fluid mechanics. This book presents all of the theoretical aspects of FEM that students of engineering will need. It eliminates overlong math equations in favour of basic concepts, and reviews of the mathematics and mechanics of materials in order to illustrate the concepts of FEM. It introduces these concepts by including examples using six different commercial programs online. The all-new, second edition of Introduction to Finite Element Analysis and Design provides many more exercise problems than the first edition. It includes a significant amount of material in modelling issues by using several practical examples from engineering applications. The book features new coverage of buckling of beams and frames and extends heat transfer analyses from 1D (in the previous edition) to 2D. It also covers 3D solid element and its application, as well as 2D. Additionally, readers will find an increase in coverage of finite element analysis of dynamic problems. There is also a companion website with examples that are concurrent with the most recent version of the commercial programs. Offers elaborate explanations of basic finite element procedures Delivers clear explanations of the capabilities and limitations of finite element analysis Includes application examples and tutorials for commercial finite element software, such as MATLAB, ANSYS, ABAQUS and NASTRAN Provides numerous examples and exercise problems Comes with a complete solution manual and results of several engineering design projects Introduction to Finite Element Analysis and Design, 2nd Edition is an excellent text for junior and senior level undergraduate students and beginning graduate students in mechanical, civil, aerospace, biomedical engineering, industrial engineering and engineering mechanics.

Welding Simulations Using ABAQUS

Author : Bahman Meyghani
Publisher : Springer Nature
ISBN 13 : 981191320X
Total Pages : 135 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Welding Simulations Using ABAQUS by : Bahman Meyghani

Download or read book Welding Simulations Using ABAQUS written by Bahman Meyghani and published by Springer Nature. This book was released on 2022-03-21 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the use of ABAQUS software in a simplified manner, for use in welding-related issues. Increasing human needs leads to the creation of complicated scientific problems. In the majority of these problems, it is necessary to join different parts and geometries together. Classical methods such as elasticity theory of stress distribution and governing equations of temperature distribution are not appropriate for solving these complicated problems. To overcome these challenges, finite element methods are proposed in order to solve different processes using differential equation. ABAQUS is a user-friendly commercial finite element software for modeling different processes in mechanical, civil, aerospace and other engineering fields. This book contains unified and detailed tutorials for professionals and students who are interested in simulating different welding processes using the ABAQUS finite element software.

Life Cycle Analysis and Assessment in Civil Engineering: Towards an Integrated Vision

Author : Robby Caspeele
Publisher : CRC Press
ISBN 13 : 1351857576
Total Pages : 3160 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Life Cycle Analysis and Assessment in Civil Engineering: Towards an Integrated Vision by : Robby Caspeele

Download or read book Life Cycle Analysis and Assessment in Civil Engineering: Towards an Integrated Vision written by Robby Caspeele and published by CRC Press. This book was released on 2018-10-31 with total page 3160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at IALCCE2018, the Sixth International Symposium on Life-Cycle Civil Engineering (IALCCE2018), held in Ghent, Belgium, October 28-31, 2018. It consists of a book of extended abstracts and a USB device with full papers including the Fazlur R. Khan lecture, 8 keynote lectures, and 390 technical papers from all over the world. Contributions relate to design, inspection, assessment, maintenance or optimization in the framework of life-cycle analysis of civil engineering structures and infrastructure systems. Life-cycle aspects that are developed and discussed range from structural safety and durability to sustainability, serviceability, robustness and resilience. Applications relate to buildings, bridges and viaducts, highways and runways, tunnels and underground structures, off-shore and marine structures, dams and hydraulic structures, prefabricated design, infrastructure systems, etc. During the IALCCE2018 conference a particular focus is put on the cross-fertilization between different sub-areas of expertise and the development of an overall vision for life-cycle analysis in civil engineering. The aim of the editors is to provide a valuable source of cutting edge information for anyone interested in life-cycle analysis and assessment in civil engineering, including researchers, practising engineers, consultants, contractors, decision makers and representatives from local authorities.

The Finite Element Method in Engineering

Author : Singiresu S. Rao
Publisher : Elsevier
ISBN 13 : 0080952046
Total Pages : 727 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis The Finite Element Method in Engineering by : Singiresu S. Rao

Download or read book The Finite Element Method in Engineering written by Singiresu S. Rao and published by Elsevier. This book was released on 2010-12-20 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method in Engineering, Fifth Edition, provides a complete introduction to finite element methods with applications to solid mechanics, fluid mechanics, and heat transfer. Written by bestselling author S.S. Rao, this book provides students with a thorough grounding of the mathematical principles for setting up finite element solutions in civil, mechanical, and aerospace engineering applications. The new edition of this textbook includes examples using modern computer tools such as MatLab, Ansys, Nastran, and Abaqus.This book discusses a wide range of topics, including discretization of the domain; interpolation models; higher order and isoparametric elements; derivation of element matrices and vectors; assembly of element matrices and vectors and derivation of system equations; numerical solution of finite element equations; basic equations of fluid mechanics; inviscid and irrotational flows; solution of quasi-harmonic equations; and solutions of Helmhotz and Reynolds equations. New to this edition are examples and applications in Matlab, Ansys, and Abaqus; structured problem solving approach in all worked examples; and new discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems. All figures are revised and redrawn for clarity.This book will benefit professional engineers, practicing engineers learning finite element methods, and students in mechanical, structural, civil, and aerospace engineering. Examples and applications in Matlab, Ansys, and Abaqus Structured problem solving approach in all worked examples New discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems More examples and exercises All figures revised and redrawn for clarity