This book treats the mechanical behavior of one-dimensional sandwich structures, a typicaloncept in the context of lightweight design. Such structures are composed of different constituent (e.g., layers) in order to achieve overall properties, which are better than for a single component alone. This book covers the basic mechanical load cases, i.e., tension/compression, bending, and shear. Based on this knowledge, different failure modes, i.e., plastic yielding, and global and local instabilities are investigated. In addition, an introduction to classic optimization problems, i.e., the formulation of an objective function (e.g., the weight of a structure) and corresponding restrictions, is included. The consideration here is limited to one- or two-dimensional design spaces, i.e., with a maximum of two design variables. For such simple cases, the minimum of the objective function can often be determined using analytical or graphical methods.
Author(s): Andreas Öchsner
Publisher: Springer
Year: 2023
Language: English
Pages: 149
City: Cham
Preface
References
Contents
Symbols and Abbreviations
Latin Symbols (Capital Letters)
Latin Symbols (Small Letters)
Greek Symbols (Capital Letters)
Greek Symbols (Small Letters)
Mathematical Symbols
Indices, Superscripted
Indices, Subscripted
Abbreviations
1 Introduction and Motivation
References
2 Basic Mechanical Load Cases
2.1 Introductory Remarks
2.2 Bending Load
2.3 Tensile/Compressive Load
2.4 Shear Load
2.5 Technical Sandwich
2.5.1 Bending Load
2.5.2 Tensile/Compressive Load
2.5.3 Shear Load
2.5.4 Bending Deformation of Sandwich Beams
2.6 Supplementary Problems
2.6.1 Knowledge Questions
2.6.2 Calculation Problems
References
3 Limit Load
3.1 Failure Modes
3.1.1 Global Instability Failure
3.1.2 Shear Failure of the Connecting Layer
3.1.3 Local Wrinkling of the Compressive Face Sheet (Bending Load)
3.1.4 Local Antisymmetric Wrinkling of both Face Sheets (Compressive Load)
3.1.5 Local Symmetric Wrinkling of both Face Sheets (Compressive Load)
3.2 Supplementary Problems
3.2.1 Knowledge Questions
3.2.2 Calculation Problems
References
4 Optimization
4.1 Optimal Dimensioning of Sandwich Beams
4.1.1 Tensile or Compressive Load
4.1.2 Bending Load
4.2 Supplementary Problems
4.2.1 Knowledge Questions
4.2.2 Calculation Problems
Reference
5 Short Solutions to the Supplementary Problems
5.1 Chapter 2摥映數爠eflinkchap:StoffspsundFormleichtbau:GrundlagenvonSandwichelementen22
5.2 Chapter 3摥映數爠eflinkchap:SuFspsGrenz33
5.3 Chapter 4摥映數爠eflinkchap:SuFspsOpt44
References
6 Appendix
6.1 Mechanics and Mathematics
6.1.1 Second-Order Moment of Area
6.1.2 Derivation of the Shear Stress Distribution for the Beam
6.1.3 Derivation of the Euler Buckling Force for Homogeneous and Isotropic Euler-Bernoulli Beams
6.1.4 Newton's Iteration
6.1.5 Numerical Integration of Functions with Variables
6.2 Computer Programs
References
Index
