Mesh Free And Finite Element Based Methods For Structural Mechanics Applications

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Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications

Author : Nicholas Fantuzzi
Publisher : MDPI
ISBN 13 : 3036501363
Total Pages : 220 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications by : Nicholas Fantuzzi

Download or read book Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications written by Nicholas Fantuzzi and published by MDPI. This book was released on 2021-01-27 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of solving complex engineering problems has always been a major topic in all industrial fields, such as aerospace, civil and mechanical engineering. The use of numerical methods has increased exponentially in the last few years, due to modern computers in the field of structural mechanics. Moreover, a wide range of numerical methods have been presented in the literature for solving such problems. Structural mechanics problems are dealt with using partial differential systems of equations that might be solved by following the two main classes of methods: Domain-decomposition methods or the so-called finite element methods and mesh-free methods where no decomposition is carried out. Both methodologies discretize a partial differential system into a set of algebraic equations that can be easily solved by computer implementation. The aim of the present Special Issue is to present a collection of recent works on these themes and a comparison of the novel advancements of both worlds in structural mechanics applications.

Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications

Author : Nicholas Fantuzzi
Publisher :
ISBN 13 : 9783036501376
Total Pages : 220 pages
Book Rating : 4.5/5 (13 download)

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Book Synopsis Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications by : Nicholas Fantuzzi

Download or read book Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications written by Nicholas Fantuzzi and published by . This book was released on 2021 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of solving complex engineering problems has always been a major topic in all industrial fields, such as aerospace, civil and mechanical engineering. The use of numerical methods has increased exponentially in the last few years, due to modern computers in the field of structural mechanics. Moreover, a wide range of numerical methods have been presented in the literature for solving such problems. Structural mechanics problems are dealt with using partial differential systems of equations that might be solved by following the two main classes of methods: Domain-decomposition methods or the so-called finite element methods and mesh-free methods where no decomposition is carried out. Both methodologies discretize a partial differential system into a set of algebraic equations that can be easily solved by computer implementation. The aim of the present Special Issue is to present a collection of recent works on these themes and a comparison of the novel advancements of both worlds in structural mechanics applications.

Extended Finite Element and Meshfree Methods

Author : Timon Rabczuk
Publisher : Academic Press
ISBN 13 : 0128141077
Total Pages : 638 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Extended Finite Element and Meshfree Methods by : Timon Rabczuk

Download or read book Extended Finite Element and Meshfree Methods written by Timon Rabczuk and published by Academic Press. This book was released on 2019-11-13 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method and extended isogeometric analysis. This book also addresses their implementation and provides small MATLAB codes on each sub-topic. Also discussed are the challenges and efficient algorithms for tracking the crack path which plays an important role for complex engineering applications. Explains all the important theory behind XFEM and meshfree methods Provides advice on how to implement XFEM for a range of practical purposes, along with helpful MATLAB codes Draws on the latest research to explore new topics, such as the applications of XFEM to shell formulations, and extended meshfree and extended isogeometric methods Introduces alternative modeling methods to help readers decide what is most appropriate for their work

Mesh Free Methods

Author : G.R. Liu
Publisher : CRC Press
ISBN 13 : 1420040588
Total Pages : 715 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mesh Free Methods by : G.R. Liu

Download or read book Mesh Free Methods written by G.R. Liu and published by CRC Press. This book was released on 2002-07-29 with total page 715 pages. Available in PDF, EPUB and Kindle. Book excerpt: As we attempt to solve engineering problems of ever increasing complexity, so must we develop and learn new methods for doing so. The Finite Difference Method used for centuries eventually gave way to Finite Element Methods (FEM), which better met the demands for flexibility, effectiveness, and accuracy in problems involving complex geometry. Now,

Advances in Meshfree and X-fem Methods

Author : Gui-Rong Liu
Publisher : World Scientific
ISBN 13 : 9789812382474
Total Pages : 276 pages
Book Rating : 4.3/5 (824 download)

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Book Synopsis Advances in Meshfree and X-fem Methods by : Gui-Rong Liu

Download or read book Advances in Meshfree and X-fem Methods written by Gui-Rong Liu and published by World Scientific. This book was released on 2003 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 36 articles covering most of the topics in the rapidly developing areas of meshfree methods and extended finite element methods (X-FEM). These topics include domain discretization, boundary discretization, combined domain/boundary discretization, meshfree particle methods, collocation methods, X-FEM, etc. Papers on issues related to implementation and coding of meshfree methods are also presented. The areas of applications of meshfree methods include solving general partial differential equations, the mechanics of solids and structures, smart material/structures, soil-structures, fracture mechanics, fluid dynamics, impact, penetration, micro-fluidics, etc. In addition, techniques for field variable interpolation, such as the moving least squares (MLS) approximation, the point interpolation method (PIM), and radial PIM are reported. Contents: Meshfree Shape Functions for Weak Formulation, Strong Formulation; Meshfree Methods for Smart Materials/Structures; Meshfree Methods for Fracture Analysis; Meshfree Methods for Membrances, Plates & Shells; Meshfree Methods for Soil; Meshfree Methods for CFD; Boundary Meshfree Methods; Coding, Error Estimation, Parallisation; Meshfree Particle Methods; X-FEM. Readership: Graduate and undergraduate students, reserchers, academics, lecturers and engineers in civil engineering, engineering mechanics and mechanical engineering.

Finite Element Techniques in Structural Mechanics

Author : Carl T. F. Ross
Publisher : Elsevier
ISBN 13 : 0857099841
Total Pages : 217 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Finite Element Techniques in Structural Mechanics by : Carl T. F. Ross

Download or read book Finite Element Techniques in Structural Mechanics written by Carl T. F. Ross and published by Elsevier. This book was released on 1996-01-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced undergraduate and postgraduate text serves for courses in many engineering disciplines and professionals in industrial or academic research. It is written in a step-by-step methodological approach so that readers can acquire knowledge, either through formal engineering courses or by self-study. Also useful for industrial engineers as a reference manual. Comprehensively reviews finite element techniques in structural mechanics, paying particular attention to matrix algebra, the matrix displacement method and vibration of structures, among other topics Written in a step-by-step methodological approach so that readers can acquire knowledge, either through formal engineering courses or by self-study Also useful as a reference manual

Meshless Methods in Solid Mechanics

Author : Youping Chen
Publisher : Springer Science & Business Media
ISBN 13 : 0387307362
Total Pages : 211 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Meshless Methods in Solid Mechanics by : Youping Chen

Download or read book Meshless Methods in Solid Mechanics written by Youping Chen and published by Springer Science & Business Media. This book was released on 2006-04-28 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. For readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are provided on an included disc.

Energy and Finite Element Methods in Structural Mechanics

Author : IrvingH Shames
Publisher : Routledge
ISBN 13 : 1351451464
Total Pages : 776 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Energy and Finite Element Methods in Structural Mechanics by : IrvingH Shames

Download or read book Energy and Finite Element Methods in Structural Mechanics written by IrvingH Shames and published by Routledge. This book was released on 2018-05-08 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE FINITE ELEMENT METHOD : Basic Concepts and ApplicationsDarrell Pepper, Advanced Projects Research, Inc. California, and Dr . JuanHeinrich, University of Arizona, TucsonTh i s introductory textbook is designed for use in undergraduate, graduate, andshort courses in structural engineering and courses devoted specifically to thefinite element method. This method is rapidly becoming the most widely usedstandard for numerical approximation for partial differential equations definingengineering and scientific problems.The authors present a simplified approach to introducing the method and a coherentand easily digestible explanation of detailed mathematical derivations andtheory Example problems are included and can be worked out manually Anaccompanying floppy disk compiling computer codes is included and required forsome of the multi-dimensional homework problems.

Advances In Meshfree And X-fem Methods (Vol 2) - With Cd-rom, Proceedings Of The 1st Asian Workshop On Meshfree Methods

Author : Gui-rong Liu
Publisher : World Scientific
ISBN 13 : 9814486884
Total Pages : 274 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Advances In Meshfree And X-fem Methods (Vol 2) - With Cd-rom, Proceedings Of The 1st Asian Workshop On Meshfree Methods by : Gui-rong Liu

Download or read book Advances In Meshfree And X-fem Methods (Vol 2) - With Cd-rom, Proceedings Of The 1st Asian Workshop On Meshfree Methods written by Gui-rong Liu and published by World Scientific. This book was released on 2002-12-16 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of the papers from the proceedings of the 1st Asian Workshop on Meshfree Methods held in conjunction with the 2nd International Conference on Structural Stability & Dynamics (ICSSD02) on 16-18 December 2002 in Singapore. It contains 36 articles covering most of the topics in the rapidly developing areas of meshfree methods and extended finite element methods (X-FEM). These topics include domain discretization, boundary discretization, combined domain/boundary discretization, meshfree particle methods, collocation methods, X-FEM, etc. Papers on issues related to implementation and coding of meshfree methods are also presented. The areas of applications of meshfree methods include solving general partial differential equations, the mechanics of solids and structures, smart material/structures, soil-structures, fracture mechanics, fluid dynamics, impact, penetration, micro-fluidics, etc. In addition, techniques for field variable interpolation, such as the moving least squares (MLS) approximation, the point interpolation method (PIM), and radial PIM are reported.

Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics

Author : Erwin Stein
Publisher : Springer Science & Business Media
ISBN 13 : 3211380604
Total Pages : 368 pages
Book Rating : 4.2/5 (113 download)

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Book Synopsis Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics by : Erwin Stein

Download or read book Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics written by Erwin Stein and published by Springer Science & Business Media. This book was released on 2007-04-02 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course with 6 lecturers intends to present a systematic survey of recent re search results of well-known scientists on error-controlled adaptive finite element methods in solid and structural mechanics with emphasis to problem-dependent concepts for adaptivity, error analysis as well as h- and p-adaptive refinement techniques including meshing and remeshing. Challenging applications are of equal importance, including elastic and elastoplastic deformations of solids, con tact problems and thin-walled structures. Some major topics should be pointed out, namely: (i) The growing importance of goal-oriented and local error estimates for quan tities of interest—in comparison with global error estimates—based on dual finite element solutions; (a) The importance of the p-version of the finite element method in conjunction with parameter-dependent hierarchical approximations of the mathematical model, for example in boundary layers of elastic plates; (Hi) The choice of problem-oriented error measures in suitable norms, consider ing residual, averaging and hierarchical error estimates in conjunction with the efficiency of the associated adaptive computations; (iv) The importance of implicit local postprocessing with enhanced test spaces in order to get constant-free, i. e. absolute-not only relative-discretizati- error estimates; (v) The coupling of error-controlled adaptive discretizations and the mathemat ical modeling in related subdomains, such as boundary layers. The main goals of adaptivity are reliability and efficiency, combined with in sight and access to controls which are independent of the applied discretization methods. By these efforts, new paradigms in Computational Mechanics should be realized, namely verifications and even validations of engineering models.

Finite Element Method

Author : G.R. Liu
Publisher : Elsevier
ISBN 13 : 0080472761
Total Pages : 384 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Finite Element Method by : G.R. Liu

Download or read book Finite Element Method written by G.R. Liu and published by Elsevier. This book was released on 2003-02-21 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems. Written for engineers and students alike, the aim of the book is to provide the necessary theories and techniques of the FEM for readers to be able to use a commercial FEM package to solve primarily linear problems in mechanical and civil engineering with the main focus on structural mechanics and heat transfer. Fundamental theories are introduced in a straightforward way, and state-of-the-art techniques for designing and analyzing engineering systems, including microstructural systems are explained in detail. Case studies are used to demonstrate these theories, methods, techniques and practical applications, and numerous diagrams and tables are used throughout. The case studies and examples use the commercial software package ABAQUS, but the techniques explained are equally applicable for readers using other applications including NASTRAN, ANSYS, MARC, etc. A practical and accessible guide to this complex, yet important subject Covers modeling techniques that predict how components will operate and tolerate loads, stresses and strains in reality

Finite Element Methods in Structural Mechanics

Author : C. T. F. Ross
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Finite Element Methods in Structural Mechanics by : C. T. F. Ross

Download or read book Finite Element Methods in Structural Mechanics written by C. T. F. Ross and published by . This book was released on 1985 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Finite Element Method: Its Basis and Fundamentals

Author : Olek C Zienkiewicz
Publisher : Butterworth-Heinemann
ISBN 13 : 9780750663205
Total Pages : 0 pages
Book Rating : 4.6/5 (632 download)

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Book Synopsis The Finite Element Method: Its Basis and Fundamentals by : Olek C Zienkiewicz

Download or read book The Finite Element Method: Its Basis and Fundamentals written by Olek C Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2005-04-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Meshfree and Particle Methods

Author : Ted Belytschko
Publisher : John Wiley & Sons
ISBN 13 : 1119811139
Total Pages : 509 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Meshfree and Particle Methods by : Ted Belytschko

Download or read book Meshfree and Particle Methods written by Ted Belytschko and published by John Wiley & Sons. This book was released on 2023-12-13 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree and Particle Methods Provides thorough coverage of essential concepts and state-of-the-art developments in the field Meshfree and Particle Methods is the first book of its kind to combine comprehensive, up-to-date information on the fundamental theories and applications of meshfree methods with systematic guidance on practical coding implementation. Broad in scope and content, this unique volume provides readers with the knowledge necessary to perform research and solve challenging problems in nearly all fields of science and engineering using meshfree computational techniques. The authors provide detailed descriptions of essential issues in meshfree methods, as well as specific techniques to address them, while discussing a wide range of subjects and use cases. Topics include approximations in meshfree methods, nonlinear meshfree methods, essential boundary condition enforcement, quadrature in meshfree methods, strong form collocation methods, and more. Throughout the book, topics are integrated with descriptions of computer implementation and an open-source code (with a dedicated chapter for users) to illustrate the connection between the formulations discussed in the text and their real-world implementation and application. This authoritative resource: Explains the fundamentals of meshfree methods, their constructions, and their unique capabilities as compared to traditional methods Features an overview of the open-source meshfree code RKPM2D, including code and numerical examples Describes all the variational concepts required to solve scientific and engineering problems using meshfree methods such as Nitsche’s method and the Lagrange multiplier method Includes comprehensive reviews of essential boundary condition enforcement, quadrature in meshfree methods, and nonlinear aspects of meshfree analysis Discusses other Galerkin meshfree methods, strong form meshfree methods, and their comparisons Meshfree and Particle Methods: Fundamentals and Applications is the perfect introduction to meshfree methods for upper-level students in advanced numerical analysis courses, and is an invaluable reference for professionals in mechanical, aerospace, civil, and structural engineering, and related fields, who want to understand and apply these concepts directly, or effectively use commercial and other production meshfree and particle codes in their work.

Meshfree Methods

Author : G.R. Liu
Publisher : CRC Press
ISBN 13 : 1420082108
Total Pages : 772 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Meshfree Methods by : G.R. Liu

Download or read book Meshfree Methods written by G.R. Liu and published by CRC Press. This book was released on 2009-10-06 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking WorkReflecting the significant advances made in the field since the publication of its predecessor, Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition systematically covers the most widely used meshfree methods. With 70% new material, this edit

An Introduction to Meshfree Methods and Their Programming

Author : G.R. Liu
Publisher : Springer Science & Business Media
ISBN 13 : 1402034687
Total Pages : 497 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis An Introduction to Meshfree Methods and Their Programming by : G.R. Liu

Download or read book An Introduction to Meshfree Methods and Their Programming written by G.R. Liu and published by Springer Science & Business Media. This book was released on 2005-12-05 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite difference method (FDM) hasbeen used tosolve differential equation systems for centuries. The FDM works well for problems of simple geometry and was widely used before the invention of the much more efficient, robust finite element method (FEM). FEM is now widely used in handling problems with complex geometry. Currently, we are using and developing even more powerful numerical techniques aiming to obtain more accurate approximate solutions in a more convenient manner for even more complex systems. The meshfree or meshless method is one such phenomenal development in the past decade, and is the subject of this book. There are many MFree methods proposed so far for different applications. Currently, three monographs on MFree methods have been published. Mesh Free Methods, Moving Beyond the Finite Element Method d by GR Liu (2002) provides a systematic discussion on basic theories, fundamentals for MFree methods, especially on MFree weak-form methods. It provides a comprehensive record of well-known MFree methods and the wide coverage of applications of MFree methods to problems of solids mechanics (solids, beams, plates, shells, etc.) as well as fluid mechanics. The Meshless Local Petrov-Galerkin (MLPG) Method d by Atluri and Shen (2002) provides detailed discussions of the meshfree local Petrov-Galerkin (MLPG) method and itsvariations. Formulations and applications of MLPG are well addressed in their book.

Extended Finite Element Method

Author : Amir R. Khoei
Publisher : John Wiley & Sons
ISBN 13 : 1118457684
Total Pages : 600 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Extended Finite Element Method by : Amir R. Khoei

Download or read book Extended Finite Element Method written by Amir R. Khoei and published by John Wiley & Sons. This book was released on 2015-02-23 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples