Introduction To The Explicit Finite Element Method For Nonlinear Transient Dynamics

Author : Shen R. Wu,Lei Gu
Publisher : John Wiley & Sons
Page : 352 pages
File Size : 42,8 Mb
Release : 2012-07-30
Category : Mathematics
ISBN : 9781118382073

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Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics by Shen R. Wu,Lei Gu Pdf

A systematic introduction to the theories and formulations of the explicit finite element method As numerical technology continues to grow and evolve with industrial applications, understanding the explicit finite element method has become increasingly important, particularly in the areas of crashworthiness, metal forming, and impact engineering. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is the first book to address specifically what is now accepted as the most successful numerical tool for nonlinear transient dynamics. The book aids readers in mastering the explicit finite element method and programming code without requiring extensive background knowledge of the general finite element. The authors present topics relating to the variational principle, numerical procedure, mechanical formulation, and fundamental achievements of the convergence theory. In addition, key topics and techniques are provided in four clearly organized sections: • Fundamentals explores a framework of the explicit finite element method for nonlinear transient dynamics and highlights achievements related to the convergence theory • Element Technology discusses four-node, three-node, eight-node, and two-node element theories • Material Models outlines models of plasticity and other nonlinear materials as well as the mechanics model of ductile damage • Contact and Constraint Conditions covers subjects related to three-dimensional surface contact, with examples solved analytically, as well as discussions on kinematic constraint conditions Throughout the book, vivid figures illustrate the ideas and key features of the explicit finite element method. Examples clearly present results, featuring both theoretical assessments and industrial applications. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is an ideal book for both engineers who require more theoretical discussions and for theoreticians searching for interesting and challenging research topics. The book also serves as an excellent resource for courses on applied mathematics, applied mechanics, and numerical methods at the graduate level.

Author : Dimitrios G Pavlou
Publisher : Academic Press
Page : 500 pages
File Size : 50,7 Mb
Release : 2015-07-14
Category : Technology & Engineering
ISBN : 9780128026069

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Essentials of the Finite Element Method by Dimitrios G Pavlou Pdf

Fundamental coverage, analytic mathematics, and up-to-date software applications are hard to find in a single text on the finite element method (FEM). Dimitrios Pavlou’s Essentials of the Finite Element Method: For Structural and Mechanical Engineers makes the search easier by providing a comprehensive but concise text for those new to FEM, or just in need of a refresher on the essentials. Essentials of the Finite Element Method explains the basics of FEM, then relates these basics to a number of practical engineering applications. Specific topics covered include linear spring elements, bar elements, trusses, beams and frames, heat transfer, and structural dynamics. Throughout the text, readers are shown step-by-step detailed analyses for finite element equations development. The text also demonstrates how FEM is programmed, with examples in MATLAB, CALFEM, and ANSYS allowing readers to learn how to develop their own computer code. Suitable for everyone from first-time BSc/MSc students to practicing mechanical/structural engineers, Essentials of the Finite Element Method presents a complete reference text for the modern engineer. Provides complete and unified coverage of the fundamentals of finite element analysis Covers stiffness matrices for widely used elements in mechanical and civil engineering practice Offers detailed and integrated solutions of engineering examples and computer algorithms in ANSYS, CALFEM, and MATLAB

Author : Antonio Munjiza,Earl E. Knight,Esteban Rougier
Publisher : John Wiley & Sons
Page : 486 pages
File Size : 47,6 Mb
Release : 2015-02-16
Category : Mathematics
ISBN : 9781118405307

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Large Strain Finite Element Method by Antonio Munjiza,Earl E. Knight,Esteban Rougier Pdf

An introductory approach to the subject of large strains and large displacements in finite elements. Large Strain Finite Element Method: A Practical Course, takes an introductory approach to the subject of large strains and large displacements in finite elements and starts from the basic concepts of finite strain deformability, including finite rotations and finite displacements. The necessary elements of vector analysis and tensorial calculus on the lines of modern understanding of the concept of tensor will also be introduced. This book explains how tensors and vectors can be described using matrices and also introduces different stress and strain tensors. Building on these, step by step finite element techniques for both hyper and hypo-elastic approach will be considered. Material models including isotropic, unisotropic, plastic and viscoplastic materials will be independently discussed to facilitate clarity and ease of learning. Elements of transient dynamics will also be covered and key explicit and iterative solvers including the direct numerical integration, relaxation techniques and conjugate gradient method will also be explored. This book contains a large number of easy to follow illustrations, examples and source code details that facilitate both reading and understanding. Takes an introductory approach to the subject of large strains and large displacements in finite elements. No prior knowledge of the subject is required. Discusses computational methods and algorithms to tackle large strains and teaches the basic knowledge required to be able to critically gauge the results of computational models. Contains a large number of easy to follow illustrations, examples and source code details. Accompanied by a website hosting code examples.

Author : Adam Hamrol,Agnieszka Kujawińska,Manuel Francisco Suarez Barraza
Publisher : Springer
Page : 400 pages
File Size : 48,5 Mb
Release : 2019-04-27
Category : Technology & Engineering
ISBN : 9783030187897

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Advances in Manufacturing II by Adam Hamrol,Agnieszka Kujawińska,Manuel Francisco Suarez Barraza Pdf

This book covers a variety of topics in manufacturing, with a special emphasis on product design, production planning, and implementation of both resources and production processes. The content is based on papers presented at the 6th International Scientific Technical Conference MANUFACTURING 2019, held in Poznan, Poland on May 19-22, 2019. The main focus is on showing best practices to use tools currently available in the enterprises to effectively improving industrial processes. Knowledge and production flow management, decision-making systems, production leveling, enterprise efficiency, as well as maintenance, modeling and simulation of production processes are just some of the topics discussed in this book, which offers a timely and practice-oriented reference guide for applied researchers, product engineers and product managers.

Author : Vinh Phu Nguyen,Alban de Vaucorbeil,Stephane Bordas
Publisher : Springer Nature
Page : 475 pages
File Size : 53,6 Mb
Release : 2023-04-11
Category : Technology & Engineering
ISBN : 9783031240706

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The Material Point Method by Vinh Phu Nguyen,Alban de Vaucorbeil,Stephane Bordas Pdf

This book provides an introduction to the fundamental theory, practical implementation, and core and emerging applications of the material point method (MPM) and its variants. The MPM combines the advantages of both finite element analysis (FEM) and meshless/meshfree methods (MMs) by representing the material by a set of particles overlaid on a background mesh that serves as a computational scratchpad. The book shows how MPM allows a robust, accurate, and efficient simulation of a wide variety of material behaviors without requiring overly complex implementations. MPM and its variants have been shown to be successful in simulating a large number of high deformation and complicated engineering problems such as densification of foam, sea ice dynamics, landslides, and energetic device explosions, to name a few, and have recently found applications in the movie industry. It is hoped that this comprehensive exposition on MPM variants and their applications will not only provide an opportunity to re-examine previous contributions, but also to re-organize them in a coherent fashion and in anticipation of new advances. Sample algorithms for the solutions of benchmark problems are provided online so that researchers and graduate students can modify these algorithms and develop their own solution algorithms for specific problems. The goal of this book is to provide students and researchers with a theoretical and practical knowledge of the material point method to analyze engineering problems, and it may help initiate and promote further in-depth studies on the subjects discussed.

Author : Wei Qiu,Yan Gong,Ramón Salcedo
Publisher : Frontiers Media SA
Page : 161 pages
File Size : 51,9 Mb
Release : 2024-06-27
Category : Science
ISBN : 9782832546413

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Field Precision Pesticide Application Technology and Ground Intelligent Sprayer by Wei Qiu,Yan Gong,Ramón Salcedo Pdf

Author : Yubo Fan,Lizhen Wang
Publisher : Springer Nature
Page : 471 pages
File Size : 52,9 Mb
Release : 2022-08-01
Category : Medical
ISBN : 9789811642692

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Biomechanics of Injury and Prevention by Yubo Fan,Lizhen Wang Pdf

This book summarizes the recent advancements for biomechanics of injury and prevention in mechanism, application and developing frontiers. Biomechanics plays an important role in achieving safety, health, comfort, and a high quality of life by revealing injury mechanism and providing prevention methods. The book covers injury and prevention to the entire human body, from head to toe, including injury and prevention in sports, traffic, accident, clinic and so on. In addition, bionics prevention method inspired by woodpecker is also introduced. The book provides the reader with not only the mechanism of injury but also the advanced injury diagnosis, treatment, and prevention devices based on biomechanics.

Author : Junuthula Narasimha Reddy
Publisher : Unknown
Page : 721 pages
File Size : 43,6 Mb
Release : 2015
Category : Finite element method
ISBN : 9780199641758

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An Introduction to Nonlinear Finite Element Analysis by Junuthula Narasimha Reddy Pdf

The second edition of An Introduction to Nonlinear Finite Element Analysis has the same objective as the first edition, namely, to facilitate an easy and thorough understanding of the details that are involved in the theoretical formulation, finite element model development, and solutions of nonlinear problems. The book offers an easy-to-understand treatment of the subject of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. The new edition is extensively reorganized and contains substantial amounts of new material. Chapter 1 in the second edition contains a section on applied functional analysis. Chapter 2 on nonlinear continuum mechanics is entirely new. Chapters 3 through 8 in the new edition correspond to Chapter 2 through 8 of the first edition, but with additional explanations, examples, and exercise problems. Material on time dependent problems from Chapter 8 of the first edition is absorbed into Chapters 4 through 8 of the new edition. Chapter 9 is extensively revised and it contains up to date developments in the large deformation analysis of isotropic, composite and functionally graded shells. Chapter 10 of the first edition on material nonlinearity and coupled problems is reorganized in the second edition by moving the material on solid mechanics to Chapter 12 in the new edition and material on coupled problems to the new chapter, Chapter 10, on weak-form Galerkin finite element models of viscous incompressible fluids. Finally, Chapter 11 in the second edition is entirely new and devoted to least-squares finite element models of viscous incompressible fluids. Chapter 12 of the second edition is enlarged to contain finite element models of viscoelastic beams. In general, all of the chapters of the second edition contain additional explanations, detailed example problems, and additional exercise problems. Although all of the progr

Author : Andrzej Zak
Publisher : BoD – Books on Demand
Page : 158 pages
File Size : 55,5 Mb
Release : 2016-09-07
Category : Transportation
ISBN : 9789535125846

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Autonomous Vehicle by Andrzej Zak Pdf

Autonomous vehicles, despite their relatively short history, have already found practical application in many areas of human activity. Such vehicles are usually replacing people in performing tasks that require long operating time and are held in inaccessible or hazardous environments. Nevertheless, autonomous robotics is probably the area that is being developed the most because of the great demand for such devices in different areas of our lives. This book is a collection of experiences shared by scientists from different parts of the world doing researches and daily exploiting autonomous systems. Giving this book in the hands of the reader, we hope that it will be a treasure trove of knowledge and inspiration for further research in the field of autonomous vehicles.

Author : Miguel Botto-Tobar,Marcelo Zambrano Vizuete,Pablo Torres-Carrión,Sergio Montes León,Guillermo Pizarro Vásquez,Benjamin Durakovic
Publisher : Springer Nature
Page : 687 pages
File Size : 40,9 Mb
Release : 2020-03-02
Category : Computers
ISBN : 9783030425203

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Applied Technologies by Miguel Botto-Tobar,Marcelo Zambrano Vizuete,Pablo Torres-Carrión,Sergio Montes León,Guillermo Pizarro Vásquez,Benjamin Durakovic Pdf

This second volume of the three-volume set (CCIS 1193, CCIS 1194, and CCIS 1195) constitutes the refereed proceedings of the First International Conference on Applied Technologies, ICAT 2019, held in Quito, Ecuador, in December 2019. The 124 full papers were carefully reviewed and selected from 328 submissions. The papers are organized according to the following topics: technology trends; computing; intelligent systems; machine vision; security; communication; electronics; e-learning; e-government; e-participation.

Author : Yongtao Lyu
Publisher : Springer Nature
Page : 210 pages
File Size : 49,6 Mb
Release : 2022-08-22
Category : Technology & Engineering
ISBN : 9789811933639

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Finite Element Method by Yongtao Lyu Pdf

This textbook is intended to be used by the senior engineering undergraduate and the graduate student. Nowadays, the finite element method has become one of the most widely used techniques in all the engineering fields, including aerospace engineering, mechanical engineering, biomedical engineering, etc. To unveil the FE technique, the textbook provides a detailed description of the finite element method, starting from the most important basic theoretical basis, e.g., the Galerkin method, the variational principle, followed by the detailed description of the various types of finite elements, including the bar, the beam, the triangular, the rectangular, the 3D elements. The primary aim of the textbook is to provide a comprehensive description of the FE solutions using different types of elements. Therefore, the properties of different elements and the solution discrepancies caused by using different elements are highlighted in the book. Thus, the textbook is very helpful for engineers to understand the behaviours of different types of elements. Additionally, the textbook can help the students and engineers write FE codes based on the theories presented in the book. Furthermore, the textbook can serve as the basis for some advanced computational mechanics courses, such as the nonlinear finite element method.

Author : Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary
Publisher : John Wiley & Sons
Page : 834 pages
File Size : 49,5 Mb
Release : 2014-01-07
Category : Science
ISBN : 9781118632703

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Nonlinear Finite Elements for Continua and Structures by Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary Pdf

Nonlinear Finite Elements for Continua and Structures p>Nonlinear Finite Elements for Continua and Structures This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended Finite Element Method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation- density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today’s software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must-have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners.

Author : Daniel S. Balint,Stephane P.A. Bordas
Publisher : Academic Press
Page : 410 pages
File Size : 41,9 Mb
Release : 2020-10-23
Category : Science
ISBN : 9780128209905

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Advances in Applied Mechanics by Daniel S. Balint,Stephane P.A. Bordas Pdf

Advances in Applied Mechanics, Volume 53 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on Phase field modelling of fracture, Advanced geometry representations and tools for microstructural and multiscale modelling, The material point method: the past and the future, From Experimental Modeling of Shotcrete to Large Scale Numerical Simulations of Tunneling, and Material point method after 25 years: theory, implementation, applications. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Advances in Applied Mechanics series

Author : Peter Wriggers
Publisher : Springer Science & Business Media
Page : 566 pages
File Size : 43,8 Mb
Release : 2008-09-24
Category : Mathematics
ISBN : 9783540710004

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Nonlinear Finite Element Methods by Peter Wriggers Pdf

Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

Author : Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu
Publisher : Elsevier
Page : 752 pages
File Size : 45,9 Mb
Release : 2005-05-26
Category : Technology & Engineering
ISBN : 008047277X

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The Finite Element Method: Its Basis and Fundamentals by Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu Pdf

The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms. • The classic FEM text, written by the subject's leading authors • Enhancements include more worked examples and exercises • With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. The classic introduction to the finite element method, by two of the subject's leading authors Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text