R for finite element analyses of size-dependent microscale structures. (2019)

• Record Type: Book
• Further Information: Note: Khameel B. Mustapha.
• Authors: Mustapha, Khameel Bayo
• Contents: Intro; Preface; Acknowledgements; Contents; About the Author; 1 A Brief Introduction to R, R Studio and MicrofiniteR; 1.1 The R Programming Language; 1.2 Tools for Getting Started; 1.2.1 R Installer; 1.2.2 RStudio; 1.3 Overview of Basic Operations; 1.3.1 Using RStudio Console as a Calculator; 1.3.2 Getting Help; 1.3.3 Using RStudio's Editor; 1.4 Packages in R; 1.5 Package-MicrofiniteR; 1.6 Summary; References; 2 Bending of Microstructure-Dependent MicroBeams and Finite Element Implementations with R; 2.1 Introduction; 2.2 Governing Differential Equations 2.2.1 Classical Versus Non-classical Strain Density Function2.2.2 Displacement-Strain Relations; 2.2.3 Stress-Strain Relations; 2.2.4 Timoshenko Beam Theory and Reduced Displacement Field; 2.3 Finite Element Formulations; 2.3.1 The 6 Degrees of Freedom Finite Element Model; 2.3.2 The 4 Degrees of Freedom Reduced-Order Model; 2.4 R Functions for Static Analysis; 2.5 Using the Implemented Functions for Static Problems; 2.6 Summary; References; 3 Vibration and Buckling of Microstructure-Dependent Timoshenko MicroBeams and Finite Element Implementations with R; 3.1 Introduction 3.2 Governing Differential Equations3.2.1 Displacement Field; 3.2.2 The Extended Hamilton's Principle; 3.3 Finite Element Formulations; 3.4 R Functions for Free Vibration and Buckling Analyses; 3.5 Free Vibration and Buckling Problems with the Implemented R Functions; 3.6 Summary; References; 4 Bending and Vibration of Microstructure-Dependent Kirchhoff Microplates and Finite Element Implementations with R; 4.1 Introduction; 4.2 Governing Differential Equations; 4.2.1 The Extended Hamilton's Principle; 4.3 Finite Element Formulations; 4.3.1 Stiffness Matrix; 4.3.2 Equivalent Load Vector 4.3.3 Mass Matrix4.4 R Functions for Static and Vibration Analyses; 4.5 Bending and Free Vibration Analyses with the Implemented R Functions; 4.6 Summary; References
• Publisher Details: Singapore : Springer
• Publication Date: 2019
• Extent: 1 online resource (xi, 99 pages)
• Subjects: 518/.25; Finite element method; R (Computer program language); Electronic books; Electronic books
• Languages: English
• ISBNs: 9789811370144; 9811370141
• Related ISBNs: 9789811370137; 9811370133
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed March 27, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.