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R for Finite Element Analyses of Size-dependent Microscale Structures


R for Finite Element Analyses of Size-dependent Microscale Structures


SpringerBriefs in Applied Sciences and Technology

von: Khameel B. Mustapha

53,49 €

Verlag: Springer
Format: PDF
Veröffentl.: 21.03.2019
ISBN/EAN: 9789811370144
Sprache: englisch

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Beschreibungen

<p>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. </p>

<p>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. </p><br>
<p>Introduction.- Bending of Microstructure-dependent Beams and Finite Element Analysis with R.-&nbsp;Vibration and Buckling Analysis of Microstructure-dependent Beams and Finite Element Analysis with R.- Bending and Vibration of Microstructure-dependent Plates and Finite Element Analysis with R.&nbsp;</p>
<p>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 <i>Mechanics of Solids</i> and <i>Advanced Solid Mechanics</i> (<i>Stress Analysis Techniques)</i>, and co-teaches <i>Computer Modelling Techniques</i>, <i>Additive Manufacturing and 3D Printing</i> and <i>Design, Manufacture & Project</i>. In a previous role as a lecturer with Swinburne University of Technology (Malaysia Campus), he convened and taught the following courses: <i>Solid Mechanics</i>, <i>Structural Mechanics</i>, <i>Computer Aided Engineering</i>, and <i>Computer Modelling, Analysis and Visualization</i>. </p>

<p>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.</p><br>
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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