Plates and Shells for Smart Structures :

Carrera, Erasmo.

Plates and Shells for Smart Structures : Classical and Advanced Theories for Modeling and Analysis. - 1st ed. - 1 online resource (323 pages)

Intro -- Plates and Shells for Smart Structures -- Contents -- About the Authors -- Preface -- 1 Introduction -- 1.1 Direct and inverse piezoelectric effects -- 1.2 Some known applications of smart structures -- References -- 2 Basics of piezoelectricity and 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 -- 2.4.1 PVD for the pure mechanical case -- 2.5 Reissner mixed variational theorem -- 2.5.1 RMVT(u, Φ, σn) -- 2.5.2 RMVT(u, Φ, Dn) -- 2.5.3 RMVT(u, Φ, σn, 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 -- 3.2.1 In-plane anisotropy -- 3.2.2 Transverse anisotropy, zigzag effects, and interlaminar continuity -- 3.3 Classical theories -- 3.3.1 Classical lamination theory -- 3.3.2 First-order shear deformation theory -- 3.3.3 Vlasov-Reddy theory -- 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 ESL theories -- 6.1.2 Murakami zigzag function -- 6.1.3 LW theories -- 6.1.4 Refined models for the electromechanical case -- 6.2 Unified formulation: advanced mixed models -- 6.2.1 Transverse shear/normal stress modeling -- 6.2.2 Advanced mixed models for the electromechanical case -- 6.3 PVD(u, Φ) for the electromechanical plate case -- 6.4 RMVT(u, Φ, σn) for the electromechanical plate case -- 6.5 RMVT(u, Φ, Dn) for the electromechanical plate case -- 6.6 RMVT(u, Φ, σn, Dn) for the electromechanical plate case -- 6.7 Assembly 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, σn) -- 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 ESL theories -- 7.1.2 Murakami zigzag function -- 7.1.3 LW theories -- 7.1.4 Refined models for the electromechanical case -- 7.2 Unified formulation: advanced mixed models -- 7.2.1 Transverse shear/normal stress modeling -- 7.2.2 Advanced mixed models for the electromechanical case -- 7.3 PVD(u, Φ) for the electromechanical shell case -- 7.4 RMVT(u, Φ, σn) for the electromechanical shell case -- 7.5 RMVT(u, Φ, Dn) for the electromechanical shell case -- 7.6 RMVT(u, Φ, σn, Dn) for the electromechanical shell case -- 7.7 Assembly 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, σn) -- 7.10 Classical shell theories as particular cases of unified formulation -- 7.11 Geometry of shells -- 7.11.1 First quadratic form -- 7.11.2 Second quadratic form -- 7.11.3 Strain-displacement equations. 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 ESL theories -- 8.1.2 Murakami zigzag function -- 8.1.3 LW theories -- 8.1.4 Refined models for the electromechanical case -- 8.2 Unified formulation: advanced mixed models -- 8.2.1 Transverse shear/normal stress modeling -- 8.2.2 Advanced mixed models for the electromechanical case -- 8.3 PVD(u, Φ) for the electromechanical plate case -- 8.4 RMVT(u, Φ, σn) for the electromechanical plate case -- 8.5 RMVT(u, Φ, Dn) for the electromechanical plate case -- 8.6 RMVT(u, Φ, σn, Dn) for the electromechanical plate case -- 8.7 FE assembly procedure and concluding remarks -- References -- 9 Numerical evaluation and assessment of classical and advanced theories using 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: FE solutions -- 9.3 Analytical closed-form solution for the electromechanical analysis of plates -- 9.4 Analytical closed-form solution for the electromechanical analysis of shells -- 9.5 FE solution for electromechanical analysis of beams -- 9.6 FE solution for electromechanical analysis of plates -- References -- Index.

Smart structures that contain embedded piezoelectric patches are loaded by both mechanical and electrical fields. Traditional plate and shell theories were developed to analyze structures subject to mechanical loads. However, these often fail when tasked with the evaluation of both electrical and mechanical fields and loads. In recent years more advanced models have been developed that overcome these limitations. Plates and Shells for Smart Structures offers a complete guide and reference to smart structures under both mechanical and electrical loads, starting with the basic principles and working right up to the most advanced models. It provides an overview of classical plate and shell theories for piezoelectric elasticity and demonstrates their limitations in static and dynamic analysis with a number of example problems. This book also provides both analytical and finite element solutions, thus enabling the reader to compare strong and weak solutions to the problems. Key features: compares a large variety of classical and modern approaches to plates and shells, such as Kirchhoff-Love , Reissner-Mindlin assumptions   and higher order, layer-wise and mixed theories introduces theories able to consider electromechanical couplings as well as those that provide appropriate interface continuity conditions for both electrical and mechanical variables considers both static and dynamic analysis accompanied by a companion website hosting dedicated software MUL2 that is used to obtain the numerical solutions in the book, allowing the reader to reproduce the examples given as well as solve problems of their own The models currently used have a wide range of applications in civil, automotive, marine and aerospace engineering. Researchers of smart structures, and structural analysts in industry, will find all they need to know in this concise reference. Graduate and postgraduate students of mechanical, civil and aerospace engineering can also use this book in their studies. www.mul2.com.

9781119950011


Shells (Engineering);Plates (Engineering);Smart structures.


Electronic books.

TA660.S5 -- C276 2011eb

624.1776