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Titlebook: R for Finite Element Analyses of Size-dependent Microscale Structures; Khameel B. Mustapha Book 2019 The Author(s), under exclusive licens

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发表于 2025-3-21 19:23:40 | 显示全部楼层 |阅读模式
书目名称R for Finite Element Analyses of Size-dependent Microscale Structures
编辑Khameel B. Mustapha
视频video
概述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
丛书名称SpringerBriefs in Applied Sciences and Technology
图书封面Titlebook: R for Finite Element Analyses of Size-dependent Microscale Structures;  Khameel B. Mustapha Book 2019 The Author(s), under exclusive licens
描述.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. .
出版日期Book 2019
关键词microfiniteR; Timoshenko Microscale Beams; Microstructure-dependent Beams; Kirchhoff Microscale Beams; R
版次1
doihttps://doi.org/10.1007/978-981-13-7014-4
isbn_softcover978-981-13-7013-7
isbn_ebook978-981-13-7014-4Series ISSN 2191-530X Series E-ISSN 2191-5318
issn_series 2191-530X
copyrightThe Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2019
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发表于 2025-3-21 22:56:32 | 显示全部楼层
Bending of Microstructure-Dependent MicroBeams and Finite Element Implementations with R,ress theory. Predicated on a planar assumed displacement field, and adopting the small-strain, linearly elastic and Timoshenko’s shear deformable beam theory assumptions, the equilibrium equations governing the bending response of these structures are established via the variational method. Finite e
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Bending and Vibration of Microstructure-Dependent Kirchhoff Microplates and Finite Element Implemen three-dimensional (3D) structures as one-dimensional beams. However, for 3D structures having two dominating planar geometric dimensions, a more appropriate approximation demands the move from the use of beam theories to advance structural models. This chapter deals with the most elementary of such
发表于 2025-3-22 10:43:36 | 显示全部楼层
2191-530X e: “microfiniteR”.Includes a brief introduction to R and the.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 a
发表于 2025-3-22 15:33:46 | 显示全部楼层
Book 2019s 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 mic
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Bending and Vibration of Microstructure-Dependent Kirchhoff Microplates and Finite Element Implemennalyses in the R programming language. Although the developed finite element model is a non-conforming rectangular element, it provides a straightforward way to demonstrate the influence of material length-scale parameters on the bending and dynamic behaviour of plates with various boundary conditio
发表于 2025-3-23 05:58:07 | 显示全部楼层
Book 2019of 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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