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Carrera, Erasmo

Plates and Shells for Smart Structures - Classicaland Advanced Theories for Modelling and Analysis

€ 131.95

• Compares classical and modern approaches to plates and shells – an approach that is often missing from existing titles

• Introduces theories able to consider electromechanical couplings as well as those that provide appropriate interface continuity conditions for both electrical and mechanical variables.


Taal / Language : English

Inhoudsopgave:
Preface

1 Introduction

1.1 Direct and Inverse Piezoelectric Effects

1.2 Some Known Applications of Smart Structures

References

2 Basics of Piezoelectricity and the Related Principles

2.1 Piezoelectric Materials

2.2 Constitutive Equations for Piezoelectric Problems

2.3 Geometrical Relations for Piezoelectric Problems

2.4 Principle of Virtual Displacements, PVD

2.4.1 PVD for the Pure Mechanical Case

2.5 Reissner Mixed Variational Theorem, RMVT

2.5.1 RMVT (u, ©, ¾n)

2.5.2 RMVT (u, ©, Dn)

2.5.3 RMVT (u, ©, ¾n, Dn)

References

3 Classical Plate/Shell Theories

3.1 Plate/Shell Theories

3.1.1 Three-dimensional Problems

3.1.2 Two-dimensional Approaches

3.2 Complicating Effects of Layered Structures

3.3 Classical Theories

3.3.1 Classical Lamination Theory, CLT

3.3.2 First-order Shear Deformation Theory, FSDT

3.3.3 Vlasov-Reddy Theory, VRT

3.4 Classical Plate Theories Extended to Smart Structures

3.4.1 CLT Plate Theory Extended to Smart Structures

3.4.2 FSDT Plate Theory Extended to Smart Structures

3.5 Classical Shell Theories Extended to Smart Structures

3.5.1 CLT and FSDT Shell Theories Extended to Smart Structures

References

4 Finite Element Applications

4.1 Preliminaries

4.2 Finite Element Discretization

4.3 FSDT Finite Element Plate Theory Extended to Smart Structures

References

5 Numerical Evaluation of Classical Theories and Their Limitations

5.1 Static Analysis of Piezoelectric Plates

5.2 Static Analysis of Piezoelectric Shells

5.3 Vibration Analysis of Piezoelectric Plates

5.4 Vibration Analysis of Piezoelectric Shells

References

6 Refined and Advanced Theories for Plates

6.1 Unified Formulation: Refined Models

6.1.1 Equivalent Single Layer Theories, ESL

6.1.2 Murakami ZigZag Function, MZZF

6.1.3 Layer Wise Theories, LW

6.1.4 Refined Models for the Electro-Mechanical Case

6.2 Unified Formulation: Advanced Mixed Models

6.2.1 Transverse Shear/Normal Stresses Modelling

6.2.2 Advanced Mixed Models for the Electro-Mechanical Case

6.3 PVD (u, ©) for the Electro-Mechanical Plate Case

6.4 RMVT (u, ©, ¾n) for the Electro-Mechanical Plate Case

6.5 RMVT (u, ©, Dn) for the Electro-Mechanical Plate Case

6.6 RMVT (u, ©, ¾n, Dn) for the Electro-Mechanical Plate Case

6.7 Assembling Procedure for Fundamental Nuclei

6.8 Acronyms for Refined and Advanced Models

6.9 Pure Mechanical Problems as Particular Cases, PVD (u) and RMVT (u, ¾n)

6.10 Classical Plate Theories as Particular Cases of Unified Formulation

References

7 Refined and Advanced Theories for Shells

7.1 Unified Formulation: Refined Models

7.1.1 Equivalent Single Layer Theories, ESL

7.1.2 Murakami ZigZag Function, MZZF

7.1.3 Layer Wise Theories, LW

7.1.4 Refined Models for the Electro-Mechanical Case

7.2 Unified Formulation: Advanced Mixed Models

7.2.1 Transverse Shear/Normal Stress Modelling

7.2.2 Advanced Mixed Models for the Electro-Mechanical Case

7.3 PVD (u, ©) for the Electro-Mechanical Shell Case

7.4 RMVT (u, ©, ¾n) for the Electro-Mechanical Shell Case

7.5 RMVT (u, ©, Dn) for the Electro-Mechanical Shell Case

7.6 RMVT (u, ©, ¾n, Dn) for the Electro-Mechanical Shell Case

7.7 Assembling Procedure for Fundamental Nuclei

7.8 Acronyms for Refined and Advanced Models

7.9 Pure Mechanical Problems as Particular Cases, PVD (u) and RMVT (u, ¾n)

7.10 Classical Shell Theories as Particular Cases of Unified Formulation

7.11 Geometry of Shells

7.12 Plate Models as Particular Cases of Shell Models

References

8 Refined and Advanced Finite Elements for Plates

8.1 Unified Formulation: Refined Models

8.1.1 Equivalent Single Layer Theories, ESL

8.1.2 Murakami ZigZag Function, MZZF

8.1.3 Layer Wise Theories, LW

8.1.4 Refined Models for the Electro-Mechanical Case

8.2 Unified Formulation: Advanced Mixed Models

8.2.1 Transverse Shear/Normal Stresses Modelling

8.2.2 Advanced Mixed Models for the Electro-Mechanical Case

8.3 PVD (u, ©) for the Electro-Mechanical Plate Case

8.4 RMVT (u, ©, ¾n) for the Electro-Mechanical Plate Case

8.5 RMVT (u, ©, Dn) for the Electro-Mechanical Plate Case

8.6 RMVT (u, ©, ¾n, Dn) for the Electro-Mechanical Plate Case

8.7 Finite Element Assembling Procedure and Concluding Remarks

References

9 Numerical Evaluation and Assessment of Classical and Advanced Theories via

MUL2 Software

9.1 The MUL2 Software for Plates and Shells: Analytical Closed Form Solutions

9.1.1 Classical Plate/Shell Theories as Particular Cases in the MUL2 Software

9.2 The MUL2 Software for Plates: Finite Element Solutions

9.3 Analytical Closed Form Solution for the Electro-Mechanical Analysis of Plates

9.4 Analytical Closed Form Solution for the Electro-Mechanical Analysis of Shells

9.5 Finite Element Solution for the Electro-Mechanical Analysis of Beams

9.6 Finite Element Solution for the Electro-Mechanical Analysis of Plates

References

Index
Extra informatie: 
Hardback
322 pagina's
Januari 2011
600 gram
234 x 156 x 22 mm
Wiley-Blackwell us

Levertijd: 5 tot 11 werkdagen