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R for finite element analyses of siz...

Mustapha, Khameel B.

R for finite element analyses of size-dependent microscale structures

Record Type:	Electronic resources : Monograph/item
Title/Author:	R for finite element analyses of size-dependent microscale structuresby Khameel B. Mustapha.
Author:	Mustapha, Khameel B.
Published:	Singapore :Springer Singapore :2019.
Description:	xi, 99 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Finite element method.
Online resource:	https://doi.org/10.1007/978-981-13-7014-4
ISBN:	9789811370144$q(electronic bk.)

R for finite element analyses of size-dependent microscale structures
Mustapha, Khameel B.

R for finite element analyses of size-dependent microscale structures[electronic resource] /by Khameel B. Mustapha. - Singapore :Springer Singapore :2019. - xi, 99 p. :ill., digital ;24 cm. - SpringerBriefs in applied sciences and technology, Computational mechanics,2191-5342. - SpringerBriefs in applied sciences and technology.Computational mechanics..

Introduction -- Bending of Microstructure-dependent Beams and Finite Element Analysis with R -- 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.

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.

ISBN: 9789811370144$q(electronic bk.)

Standard No.: 10.1007/978-981-13-7014-4doiSubjects--Topical Terms:

184533
Finite element method.

LC Class. No.: TA347.F5

Dewey Class. No.: 518.25

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505 0 $a Introduction -- Bending of Microstructure-dependent Beams and Finite Element Analysis with R -- 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.
520 $a 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.
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