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SpringerBriefs in Computational Mechanics

R for Finite Element Analyses of Size-dependent Microscale Structures

Authors: Mustapha, Khameel

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  • Discusses linear elastic size-dependent structures based on the modified couple stress theory
  • Implements functions with the special R package: “microfiniteR”
  • Includes a brief introduction to R and the necessary R resources 
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  • ISBN 978-981-13-7014-4
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Softcover $59.99
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  • ISBN 978-981-13-7013-7
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  • Usually dispatched within 3 to 5 business days.
About this book

This book addresses the static and dynamic analysis of linear elastic size-dependent structures based on the modified couple stress theory. It focuses on establishing the governing equations of the size-dependent structures, deriving the associated finite element models, and implementing those models using the R programming language. The implemented functions are employed to develop a special R package (equivalent to a MATLAB toolbox) called microfiniteR for this book.

In each chapter, the governing equations are formulated using the variational method, and the behaviour of the structures is examined on the basis of their load-deformation characteristics (in the case of static analyses) and by evaluating their eigenvalues (in the case of dynamics and buckling problems). The first chapter introduces readers to the R programming language, beginning with the resources needed to make use of the language and ending with a list of recommended texts. The remaining chapters cover the requisite linear elastic theory and highlight the implemented R functions. Each chapter concludes with a brief summary and relevant references.


About the authors

Khameel Mustapha is an Assistant Professor at the Department of Mechanical, Materials and Manufacturing Engineering at the University of Nottingham (Malaysia Campus). He currently offers courses on the Mechanics of Solids and Advanced Solid Mechanics (Stress Analysis Techniques), and co-teaches Computer Modelling Techniques, Additive Manufacturing and 3D Printing and Design, Manufacture & Project. In a previous role as a lecturer with Swinburne University of Technology (Malaysia Campus), he convened and taught the following courses: Solid Mechanics, Structural Mechanics, Computer Aided Engineering, and Computer Modelling, Analysis and Visualization.

He holds a Ph.D. in Mechanical Engineering from Nanyang Technological University (Singapore), B.Eng. (Mechanical Engineering) from the University of Ilorin, a GCLT from Swinburne University of Technology (Australia) and a PGCHE from the University of Nottingham (UK). He is a Fellow of the Higher Education Academy (UK) and a member of the American Society of Mechanical Engineers. His research interests include the mechanics of composite materials; mechanics of additively manufactured components; mechanics of small-scale structures; mechanics of biological structures and energy materials; and computational methods for the simulation of mechanical systems.


Table of contents (4 chapters)

Table of contents (4 chapters)
  • A Brief Introduction to R, R Studio and MicrofiniteR

    Pages 1-12

    Mustapha, Khameel B.

  • Bending of Microstructure-Dependent MicroBeams and Finite Element Implementations with R

    Pages 13-45

    Mustapha, Khameel B.

  • Vibration and Buckling of Microstructure-Dependent Timoshenko MicroBeams and Finite Element Implementations with R

    Pages 47-67

    Mustapha, Khameel B.

  • Bending and Vibration of Microstructure-Dependent Kirchhoff Microplates and Finite Element Implementations with R

    Pages 69-99

    Mustapha, Khameel B.

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-981-13-7014-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-981-13-7013-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
R for Finite Element Analyses of Size-dependent Microscale Structures
Authors
Series Title
SpringerBriefs in Computational Mechanics
Copyright
2019
Publisher
Springer Singapore
Copyright Holder
The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-13-7014-4
DOI
10.1007/978-981-13-7014-4
Softcover ISBN
978-981-13-7013-7
Series ISSN
2191-5342
Edition Number
1
Number of Pages
XI, 99
Topics