Book contents
- Frontmatter
- Contents
- Preface to the Second Edition
- Preface to the First Edition
- Structural Impact
- 1 Static Plastic Behaviour of Beams
- 2 Static Plastic Behaviour of Plates and Shells
- 3 Dynamic Plastic Behaviour of Beams
- 4 Dynamic Plastic Behaviour of Plates
- 5 Dynamic Plastic Behaviour of Shells
- 6 Influence of Transverse Shear and Rotatory Inertia
- 7 Influence of Finite Displacements
- 8 Strain-Rate-Sensitive Behaviour of Materials
- 9 Dynamic Progressive Buckling
- 10 Dynamic Plastic Buckling
- 11 Scaling Laws
- Appendix 1 Principle of Virtual Work
- Appendix 2 Path-Dependence of an Inelastic Material
- Appendix 3 Principle of Virtual Velocities
- Appendix 4 Consistent Sets of Equilibrium Equations and Geometrical Relations
- Appendix 5 Buckingham Π-Theorem
- Appendix 6 Quasi-Static Behaviour
- Appendix 7 Martin’s Upper Bound Displacement Theorem
- References
- Answers to Selected Problems
- Author Index
- Subject Index
11 - Scaling Laws
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Preface to the Second Edition
- Preface to the First Edition
- Structural Impact
- 1 Static Plastic Behaviour of Beams
- 2 Static Plastic Behaviour of Plates and Shells
- 3 Dynamic Plastic Behaviour of Beams
- 4 Dynamic Plastic Behaviour of Plates
- 5 Dynamic Plastic Behaviour of Shells
- 6 Influence of Transverse Shear and Rotatory Inertia
- 7 Influence of Finite Displacements
- 8 Strain-Rate-Sensitive Behaviour of Materials
- 9 Dynamic Progressive Buckling
- 10 Dynamic Plastic Buckling
- 11 Scaling Laws
- Appendix 1 Principle of Virtual Work
- Appendix 2 Path-Dependence of an Inelastic Material
- Appendix 3 Principle of Virtual Velocities
- Appendix 4 Consistent Sets of Equilibrium Equations and Geometrical Relations
- Appendix 5 Buckingham Π-Theorem
- Appendix 6 Quasi-Static Behaviour
- Appendix 7 Martin’s Upper Bound Displacement Theorem
- References
- Answers to Selected Problems
- Author Index
- Subject Index
Summary
If the size of a body be diminished, the strength of that body is not diminished in the same proportion; indeed the smaller the body the greater its relative strength. Thus, a small dog could probably carry on his back two or three dogs of his own size, but I believe that a horse could not carry even one of his own size. Galileo (1638)
Introduction
The testing of small-scale models is indispensable for complex structural systems which are difficult to analyse theoretically and numerically or to study experimentally. The dynamic response of underground structures, impact of nuclear fuel capsules, missile impact of nuclear power installations and collision protection of ships illustrate several areas which have been studied with the aid of small-scale models.
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- Structural Impact , pp. 479 - 510Publisher: Cambridge University PressPrint publication year: 2011
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