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R for Finite Element Analyses of Size-dependent Microscale Structures

Record Type:	Language materials, printed : Monograph/item
Title/Author:	R for Finite Element Analyses of Size-dependent Microscale Structures/ by Khameel B. Mustapha.
Author:	Mustapha, Khameel B.
Description:	XI, 99 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mechanics. -
Online resource:	https://doi.org/10.1007/978-981-13-7014-4
ISBN:	9789811370144

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. - 1st ed. 2019. - XI, 99 p.online resource. - SpringerBriefs in Computational Mechanics,2191-5342. - SpringerBriefs in 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

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

527684
Mechanics.

LC Class. No.: TA349-359

Dewey Class. No.: 531

R for Finite Element Analyses of Size-dependent Microscale Structures
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