Meshfree And Particle Based Approaches In Computational Mechanics

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Meshfree and Particle Based Approaches in Computational Mechanics

Author : Piotr Breitkopf
Publisher : Elsevier Science & Technology
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Meshfree and Particle Based Approaches in Computational Mechanics by : Piotr Breitkopf

Download or read book Meshfree and Particle Based Approaches in Computational Mechanics written by Piotr Breitkopf and published by Elsevier Science & Technology. This book was released on 2004 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of meshless approaches may lead to a new generation of computational methods in engineering and applied science. The contributors focus on fundamental ideas (Moving Least Squares, Smooth Particle Hydrodynamics and Generalized Finite Differences) illustrated with applications in acoustics, fluid and solid mechanics, as well as numerical and experimental data smoothing. Testifying to the vitality of this research area in Europe, these papers represent state-of-the-art contributions from researchers in Poland, Belgium, United Kingdom, France, and Spain.

Meshfree and Practical Based Approaches in Computational Mechanics

Author : P. Breitkopf
Publisher :
ISBN 13 : 9782746206038
Total Pages : pages
Book Rating : 4.2/5 (6 download)

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Book Synopsis Meshfree and Practical Based Approaches in Computational Mechanics by : P. Breitkopf

Download or read book Meshfree and Practical Based Approaches in Computational Mechanics written by P. Breitkopf and published by . This book was released on 2003-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Particle Methods

Author : Shaofan Li
Publisher : Springer Science & Business Media
ISBN 13 : 3540222561
Total Pages : 509 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Meshfree Particle Methods by : Shaofan Li

Download or read book Meshfree Particle Methods written by Shaofan Li and published by Springer Science & Business Media. This book was released on 2007-03-07 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree Particle Methods is a comprehensive and systematic exposition of particle methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods, and multiscale methods. Most theories, computational formulations, and simulation results presented are recent developments in meshfree methods. They were either just published recently or even have not been published yet, many of them resulting from the authors ́ own research. The presentation of the technical content is heuristic and explanatory with a balance between mathematical rigor and engineering practice. It can be used as a graduate textbook or a comprehensive source for researchers, providing the state of the art on Meshfree Particle Methods.

Meshfree Particle Methods

Author : Jiun-Shyan Chen
Publisher :
ISBN 13 :
Total Pages : 4 pages
Book Rating : 4.:/5 (247 download)

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Book Synopsis Meshfree Particle Methods by : Jiun-Shyan Chen

Download or read book Meshfree Particle Methods written by Jiun-Shyan Chen and published by . This book was released on 2000 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Particle-Based Methods

Author : Eugenio Oñate
Publisher : Springer Science & Business Media
ISBN 13 : 9400707355
Total Pages : 275 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Particle-Based Methods by : Eugenio Oñate

Download or read book Particle-Based Methods written by Eugenio Oñate and published by Springer Science & Business Media. This book was released on 2011-02-17 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains 11 chapters written by relevant scientists in the field of particle-based methods and their applications in engineering and applied sciences. The chapters cover most particle-based techniques used in practice including the discrete element method, the smooth particle hydrodynamic method and the particle finite element method. The book will be of interest to researchers and engineers interested in the fundamentals of particle-based methods and their applications.

Meshfree Particle Methods

Author : Shaofan Li
Publisher : Springer Science & Business Media
ISBN 13 : 3540714715
Total Pages : 510 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Meshfree Particle Methods by : Shaofan Li

Download or read book Meshfree Particle Methods written by Shaofan Li and published by Springer Science & Business Media. This book was released on 2007-03-21 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree Particle Methods is a comprehensive and systematic exposition of particle methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods, and multiscale methods. Most theories, computational formulations, and simulation results presented are recent developments in meshfree methods. They were either just published recently or even have not been published yet, many of them resulting from the authors ́ own research. The presentation of the technical content is heuristic and explanatory with a balance between mathematical rigor and engineering practice. It can be used as a graduate textbook or a comprehensive source for researchers, providing the state of the art on Meshfree Particle Methods.

Meshfree Methods for Partial Differential Equations IV

Author : Michael Griebel
Publisher : Springer Science & Business Media
ISBN 13 : 3540799931
Total Pages : 404 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations IV by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations IV written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2008-10-10 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the proceedings papers of the Fourth International Workshop on Meshfree Methods held in September 2007 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this very active and exciting area of interdisciplinary research and to present recent advances and results in this field.

Meshfree Methods for Partial Differential Equations V

Author : Michael Griebel
Publisher : Springer Science & Business Media
ISBN 13 : 3642162290
Total Pages : 271 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations V by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations V written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2010-11-04 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is an extremely active research field, both in the mathematics and engineering communities. Meshfree methods are becoming increasingly mainstream in various applications. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the papers from the proceedings of the Fifth International Workshop on Meshfree Methods, held in Bonn in August 2009. The articles address the different meshfree methods and their use in applied mathematics, physics and engineering. The volume is intended to foster this highly active and exciting area of interdisciplinary research and to present recent advances and findings in this field.

Simulation of Additive Manufacturing using Meshfree Methods

Author : Christian Weißenfels
Publisher : Springer Nature
ISBN 13 : 3030873374
Total Pages : 207 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Simulation of Additive Manufacturing using Meshfree Methods by : Christian Weißenfels

Download or read book Simulation of Additive Manufacturing using Meshfree Methods written by Christian Weißenfels and published by Springer Nature. This book was released on 2021-10-29 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed instruction to virtually reproduce the processes of Additive Manufacturing on a computer. First, all mathematical equations needed to model these processes are presented. Due to their flexibility, meshfree methods represent optimal computational solution schemes to simulate Additive Manufacturing processes. On the other hand, these methods usually do not guarantee an accurate solution. For this reason, this monograph is dedicated in detail to the necessary criteria for computational solution schemes to provide accurate results. Several meshfree methods are examined with respect to these conditions. Two different 3D printing techniques are presented in detail. The results obtained from the simulation are investigated and compared with experimental data. This work is addressed to both scientists and professionals working in the field of development who are interested to learn the secrets behind meshfree methods or get into the modeling of Additive Manufacturing.

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.

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.

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.

Meshfree Methods for Partial Differential Equations IX

Author : Michael Griebel
Publisher : Springer
ISBN 13 : 3030151190
Total Pages : 206 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations IX by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations IX written by Michael Griebel and published by Springer. This book was released on 2019-06-19 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering. The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. While the fundamental theory of meshfree methods has been developed and considerable advances of the various methods have been made, many challenges in the mathematical analysis and practical implementation of meshfree methods remain. This symposium aims to promote collaboration among engineers, mathematicians, and computer scientists and industrial researchers to address the development, mathematical analysis, and application of meshfree and particle methods especially to multiscale phenomena. It continues the 2-year-cycled Workshops on Meshfree Methods for Partial Differential Equations.

Meshfree and Particle Methods

Author : Ted Belytschko
Publisher : John Wiley & Sons
ISBN 13 : 0470848006
Total Pages : 357 pages
Book Rating : 4.4/5 (78 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 2024-02-27 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 for Partial Differential Equations VIII

Author : Michael Griebel
Publisher : Springer
ISBN 13 : 3319519549
Total Pages : 245 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations VIII by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations VIII written by Michael Griebel and published by Springer. This book was released on 2017-04-05 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s. The growing interest in these methods is in part due to the fact that they offer extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods have a number of advantageous features that are especially attractive when dealing with multiscale phenomena: A-priori knowledge about the solution’s particular local behavior can easily be introduced into the meshfree approximation space, and coarse scale approximations can be seamlessly refined by adding fine scale information. However, the implementation of meshfree methods and their parallelization also requires special attention, for instance with respect to numerical integration.

Meshfree Methods for Partial Differential Equations II

Author : Michael Griebel
Publisher : Springer Science & Business Media
ISBN 13 : 354027099X
Total Pages : 307 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations II by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations II written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2006-09-21 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the papers from the proceedings of the Second International Workshop on Meshfree Methods held in September 2003 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this new and exciting area of interdisciplinary research and to present recent advances and results in this field.