Ted Belytschko's Books

Meshfree and Particle Methods

By: Ted Belytschko,Jason S. Chen,Michael Hillman

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Meshfree and Particle Methods

By: Ted Belytschko,Jason S. Chen,Michael Hillman

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.

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Page Count

357

Publisher

John Wiley & Sons

Published Date

ISBN 10

0470848006

ISBN 13

9780470848005

Nonlinear Finite Elements for Continua and Structures

By: Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary

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Nonlinear Finite Elements for Continua and Structures

By: Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary

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.

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834

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118632702

ISBN 13

9781118632703

The Finite Element Method for Engineers

By: Kenneth H. Huebner,Donald L. Dewhirst,Douglas E. Smith,Ted G. Byrom

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The Finite Element Method for Engineers

By: Kenneth H. Huebner,Donald L. Dewhirst,Douglas E. Smith,Ted G. Byrom

Eine Einführung in alle Aspekte der finiten Elemente, jetzt schon in der 4. Auflage! Geboten wird eine ausgewogene Mischung theoretischer und anwendungsorientierter Kapitel mit vielen Beispielen. Schwerpunkte liegen auf Anwendungen aus der Mechanik, dem Wärmetransport, der Elastizität sowie auf disziplinübergreifenden Problemen (Strömungen von Fluiden, Elektromagnetismus). Eine nützliche und zuverlässige Informationsquelle für Studenten und Praktiker!

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Page Count

748

Publisher

John Wiley & Sons

Published Date

ISBN 10

0471370789

ISBN 13

9780471370789

Nonlinear Finite Elements for Continua and Structures

By: Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary

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Nonlinear Finite Elements for Continua and Structures

By: Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary

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834

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118632702

ISBN 13

9781118632703

Meshfree and Particle Methods

Fundamentals and Applications

By: Ted Belytschko,J. S. Chen,Michael Hillman

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Meshfree and Particle Methods

Fundamentals and Applications

By: Ted Belytschko,J. S. Chen,Michael Hillman

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.

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Page Count

509

Publisher

John Wiley & Sons

Published Date

ISBN 10

1119811139

ISBN 13

9781119811138

A First Course in Finite Elements

By: Jacob Fish,Ted Belytschko

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A First Course in Finite Elements

By: Jacob Fish,Ted Belytschko

Developed from the authors, combined total of 50 years undergraduate and graduate teaching experience, this book presents the finite element method formulated as a general-purpose numerical procedure for solving engineering problems governed by partial differential equations. Focusing on the formulation and application of the finite element method through the integration of finite element theory, code development, and software application, the book is both introductory and self-contained, as well as being a hands-on experience for any student. This authoritative text on Finite Elements: Adopts a generic approach to the subject, and is not application specific In conjunction with a web-based chapter, it integrates code development, theory, and application in one book Provides an accompanying Web site that includes ABAQUS Student Edition, Matlab data and programs, and instructor resources Contains a comprehensive set of homework problems at the end of each chapter Produces a practical, meaningful course for both lecturers, planning a finite element module, and for students using the text in private study. Accompanied by a book companion website housing supplementary material that can be found at http://www.wileyeurope.com/college/Fish A First Course in Finite Elements is the ideal practical introductory course for junior and senior undergraduate students from a variety of science and engineering disciplines. The accompanying advanced topics at the end of each chapter also make it suitable for courses at graduate level, as well as for practitioners who need to attain or refresh their knowledge of finite elements through private study.

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Page Count

319

Publisher

Wiley-Blackwell

Published Date

ISBN 10

0470035803

ISBN 13

9780470035801

Book's by Ted Belytschko

Meshfree and Particle Methods

Meshfree and Particle Methods

Nonlinear Finite Elements for Continua and Structures

Nonlinear Finite Elements for Continua and Structures

The Finite Element Method for Engineers

The Finite Element Method for Engineers

Nonlinear Finite Elements for Continua and Structures

Nonlinear Finite Elements for Continua and Structures

Meshfree and Particle Methods

Meshfree and Particle Methods

A First Course in Finite Elements

A First Course in Finite Elements

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