{"product_id":"plates-and-shells-for-smart-structures-classical-and-advanced-theories-for-modeling-and-analysis-hardback-9780470971208","title":"Plates and Shells for Smart Structures; Classical and Advanced Theories for Modeling and Analysis (Hardback) 9780470971208","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003ePlates and Shells for Smart Structures\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eClassical and Advanced Theories for Modeling and Analysis\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eErasmo Carrera (Author), Salvatore Brischetto (Author), Pietro Nali (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780470971208, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 30 September 2011\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e336 pages\u003cbr\u003e23.6 x 15.6 x 2 cm, 0.59 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e“The book is well written and would make an excellent textbook.”  (\u003ci\u003eZentralblatt MATH\u003c\/i\u003e, 1 December 2012)\u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eSmart 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.  \u003cp\u003e\u003ci\u003ePlates and Shells for Smart Structures\u003c\/i\u003e 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.\u003c\/p\u003e \u003cp\u003eKey features:\u003c\/p\u003e \u003cul\u003e \u003cli\u003ecompares 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\u003c\/li\u003e \u003cli\u003eintroduces theories able to consider electromechanical couplings as well as those that provide appropriate interface continuity conditions for both electrical and mechanical variables\u003c\/li\u003e \u003cli\u003econsiders both static and dynamic analysis\u003c\/li\u003e \u003cli\u003eaccompanied 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\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eThe 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.\u003c\/p\u003e \u003cp\u003e\u003ca href=\"http:\/\/www.mul2.com\/\"\u003ewww.mul2.com\u003c\/a\u003e\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cb\u003eAbout the Authors ix\u003c\/b\u003e  \u003cp\u003e\u003cb\u003ePreface xi\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1 Introduction 1\u003c\/p\u003e \u003cp\u003e1.1 Direct and inverse piezoelectric effects 2\u003c\/p\u003e \u003cp\u003e1.2 Some known applications of smart structures 3\u003c\/p\u003e \u003cp\u003eReferences 6\u003c\/p\u003e \u003cp\u003e2 Basics of piezoelectricity and related principles 9\u003c\/p\u003e \u003cp\u003e2.1 Piezoelectric materials 9\u003c\/p\u003e \u003cp\u003e2.2 Constitutive equations for piezoelectric problems 14\u003c\/p\u003e \u003cp\u003e2.3 Geometrical relations for piezoelectric problems 18\u003c\/p\u003e \u003cp\u003e2.4 Principle of virtual displacements 20\u003c\/p\u003e \u003cp\u003e2.4.1 PVD for the pure mechanical case 23\u003c\/p\u003e \u003cp\u003e2.5 Reissner mixed variational theorem 23\u003c\/p\u003e \u003cp\u003e2.5.1 RMVT(\u003ci\u003eu\u003c\/i\u003e, , \u003ci\u003eσn\u003c\/i\u003e) 24\u003c\/p\u003e \u003cp\u003e2.5.2 RMVT(\u003ci\u003eu\u003c\/i\u003e, , \u003ci\u003eDn\u003c\/i\u003e) 26\u003c\/p\u003e \u003cp\u003e2.5.3 RMVT(\u003ci\u003eu\u003c\/i\u003e, , \u003ci\u003eσn\u003c\/i\u003e, \u003ci\u003eDn\u003c\/i\u003e) 28\u003c\/p\u003e \u003cp\u003eReferences 30\u003c\/p\u003e \u003cp\u003e3 Classical plate\/shell theories 33\u003c\/p\u003e \u003cp\u003e3.1 Plate\/shell theories 33\u003c\/p\u003e \u003cp\u003e3.1.1 Three-dimensional problems 34\u003c\/p\u003e \u003cp\u003e3.1.2 Two-dimensional approaches 34\u003c\/p\u003e \u003cp\u003e3.2 Complicating effects of layered structures 37\u003c\/p\u003e \u003cp\u003e3.2.1 In-plane anisotropy 38\u003c\/p\u003e \u003cp\u003e3.2.2 Transverse anisotropy, zigzag effects, and interlaminar continuity 38\u003c\/p\u003e \u003cp\u003e3.3 Classical theories 41\u003c\/p\u003e \u003cp\u003e3.3.1 Classical lamination theory 41\u003c\/p\u003e \u003cp\u003e3.3.2 First-order shear deformation theory 42\u003c\/p\u003e \u003cp\u003e3.3.3 Vlasov–Reddy theory 45\u003c\/p\u003e \u003cp\u003e3.4 Classical plate theories extended to smart structures 45\u003c\/p\u003e \u003cp\u003e3.4.1 CLT plate theory extended to smart structures 45\u003c\/p\u003e \u003cp\u003e3.4.2 FSDT plate theory extended to smart structures 56\u003c\/p\u003e \u003cp\u003e3.5 Classical shell theories extended to smart structures 58\u003c\/p\u003e \u003cp\u003e3.5.1 CLT and FSDT shell theories extended to smart structures 59\u003c\/p\u003e \u003cp\u003eReferences 60\u003c\/p\u003e \u003cp\u003e4 Finite element applications 63\u003c\/p\u003e \u003cp\u003e4.1 Preliminaries 63\u003c\/p\u003e \u003cp\u003e4.2 Finite element discretization 64\u003c\/p\u003e \u003cp\u003e4.3 FSDT finite element plate theory extended to smart structures 68\u003c\/p\u003e \u003cp\u003eReferences 87\u003c\/p\u003e \u003cp\u003e5 Numerical evaluation of classical theories and their limitations 89\u003c\/p\u003e \u003cp\u003e5.1 Static analysis of piezoelectric plates 90\u003c\/p\u003e \u003cp\u003e5.2 Static analysis of piezoelectric shells 92\u003c\/p\u003e \u003cp\u003e5.3 Vibration analysis of piezoelectric plates 98\u003c\/p\u003e \u003cp\u003e5.4 Vibration analysis of piezoelectric shells 101\u003c\/p\u003e \u003cp\u003eReferences 104\u003c\/p\u003e \u003cp\u003e6 Refined and advanced theories for plates 105\u003c\/p\u003e \u003cp\u003e6.1 Unified formulation: refined models 105\u003c\/p\u003e \u003cp\u003e6.1.1 ESL theories 106\u003c\/p\u003e \u003cp\u003e6.1.2 Murakami zigzag function 108\u003c\/p\u003e \u003cp\u003e6.1.3 LW theories 110\u003c\/p\u003e \u003cp\u003e6.1.4 Refined models for the electromechanical case 113\u003c\/p\u003e \u003cp\u003e6.2 Unified formulation: advanced mixed models 113\u003c\/p\u003e \u003cp\u003e6.2.1 Transverse shear\/normal stress modeling 113\u003c\/p\u003e \u003cp\u003e6.2.2 Advanced mixed models for the electromechanical case 115\u003c\/p\u003e \u003cp\u003e6.3 PVD(\u003ci\u003eu\u003c\/i\u003e, ) for the electromechanical plate case 117\u003c\/p\u003e \u003cp\u003e6.4 RMVT(\u003ci\u003eu\u003c\/i\u003e, , \u003ci\u003eσn\u003c\/i\u003e) for the electromechanical plate case 122\u003c\/p\u003e \u003cp\u003e6.5 RMVT(\u003ci\u003eu\u003c\/i\u003e, , \u003ci\u003eDn\u003c\/i\u003e) for the electromechanical plate case 130\u003c\/p\u003e \u003cp\u003e6.6 RMVT(\u003ci\u003eu\u003c\/i\u003e, , \u003ci\u003eσn\u003c\/i\u003e, \u003ci\u003eDn\u003c\/i\u003e) for the electromechanical plate case 137\u003c\/p\u003e \u003cp\u003e6.7 Assembly procedure for fundamental nuclei 148\u003c\/p\u003e \u003cp\u003e6.8 Acronyms for refined and advanced models 150\u003c\/p\u003e \u003cp\u003e6.9 Pure mechanical problems as particular cases, PVD(\u003ci\u003eu\u003c\/i\u003e) and RMVT(\u003ci\u003eu\u003c\/i\u003e, \u003ci\u003eσn\u003c\/i\u003e) 151\u003c\/p\u003e \u003cp\u003e6.10 Classical plate theories as particular cases of unified formulation 153\u003c\/p\u003e \u003cp\u003eReferences 154\u003c\/p\u003e \u003cp\u003e7 Refined and advanced theories for shells 157\u003c\/p\u003e \u003cp\u003e7.1 Unified formulation: refined models 157\u003c\/p\u003e \u003cp\u003e7.1.1 ESL theories 158\u003c\/p\u003e \u003cp\u003e7.1.2 Murakami zigzag function 160\u003c\/p\u003e \u003cp\u003e7.1.3 LW theories 162\u003c\/p\u003e \u003cp\u003e7.1.4 Refined models for the electromechanical case 165\u003c\/p\u003e \u003cp\u003e7.2 Unified formulation: advanced mixed models 165\u003c\/p\u003e \u003cp\u003e7.2.1 Transverse shear\/normal stress modeling 166\u003c\/p\u003e \u003cp\u003e7.2.2 Advanced mixed models for the electromechanical case 168\u003c\/p\u003e \u003cp\u003e7.3 PVD(\u003ci\u003eu\u003c\/i\u003e, ) for the electromechanical shell case 169\u003c\/p\u003e \u003cp\u003e7.4 RMVT(\u003ci\u003eu\u003c\/i\u003e, , \u003ci\u003eσn\u003c\/i\u003e) for the electromechanical shell case 175\u003c\/p\u003e \u003cp\u003e7.5 RMVT(\u003ci\u003eu\u003c\/i\u003e, , \u003ci\u003eDn\u003c\/i\u003e) for the electromechanical shell case 181\u003c\/p\u003e \u003cp\u003e7.6 RMVT(\u003ci\u003eu\u003c\/i\u003e, , \u003ci\u003eσn\u003c\/i\u003e, \u003ci\u003eDn\u003c\/i\u003e) for the electromechanical shell case 188\u003c\/p\u003e \u003cp\u003e7.7 Assembly procedure for fundamental nuclei 197\u003c\/p\u003e \u003cp\u003e7.8 Acronyms for refined and advanced models 200\u003c\/p\u003e \u003cp\u003e7.9 Pure mechanical problems as particular cases, PVD(\u003ci\u003eu\u003c\/i\u003e) and RMVT(\u003ci\u003eu\u003c\/i\u003e, \u003ci\u003eσn\u003c\/i\u003e) 200\u003c\/p\u003e \u003cp\u003e7.10 Classical shell theories as particular cases of unified formulation 202\u003c\/p\u003e \u003cp\u003e7.11 Geometry of shells 202\u003c\/p\u003e \u003cp\u003e7.11.1 First quadratic form 204\u003c\/p\u003e \u003cp\u003e7.11.2 Second quadratic form 204\u003c\/p\u003e \u003cp\u003e7.11.3 Strain–displacement equations 205\u003c\/p\u003e \u003cp\u003e7.12 Plate models as particular cases of shell models 208\u003c\/p\u003e \u003cp\u003eReferences 210\u003c\/p\u003e \u003cp\u003e8 Refined and advanced finite elements for plates 213\u003c\/p\u003e \u003cp\u003e8.1 Unified formulation: refined models 213\u003c\/p\u003e \u003cp\u003e8.1.1 ESL theories 215\u003c\/p\u003e \u003cp\u003e8.1.2 Murakami zigzag function 217\u003c\/p\u003e \u003cp\u003e8.1.3 LW theories 219\u003c\/p\u003e \u003cp\u003e8.1.4 Refined models for the electromechanical case 222\u003c\/p\u003e \u003cp\u003e8.2 Unified formulation: advanced mixed models 222\u003c\/p\u003e \u003cp\u003e8.2.1 Transverse shear\/normal stress modeling 223\u003c\/p\u003e \u003cp\u003e8.2.2 Advanced mixed models for the electromechanical case 225\u003c\/p\u003e \u003cp\u003e8.3 PVD(\u003ci\u003eu,\u003c\/i\u003e) for the electromechanical plate case 226\u003c\/p\u003e \u003cp\u003e8.4 RMVT(\u003ci\u003eu,, σn\u003c\/i\u003e) for the electromechanical plate case 231\u003c\/p\u003e \u003cp\u003e8.5 RMVT(\u003ci\u003eu,,Dn\u003c\/i\u003e) for the electromechanical plate case 238\u003c\/p\u003e \u003cp\u003e8.6 RMVT(\u003ci\u003eu,, σn,Dn\u003c\/i\u003e) for the electromechanical plate case 244\u003c\/p\u003e \u003cp\u003e8.7 FE assembly procedure and concluding remarks 252\u003c\/p\u003e \u003cp\u003eReferences 252\u003c\/p\u003e \u003cp\u003e9 Numerical evaluation and assessment of classical and advanced theories using MUL2 software 255\u003c\/p\u003e \u003cp\u003e9.1 The MUL2 software for plates and shells: analytical closed-form solutions 256\u003c\/p\u003e \u003cp\u003e9.1.1 Classical plate\/shell theories as particular cases in the MUL2 software 264\u003c\/p\u003e \u003cp\u003e9.2 The MUL2 software for plates: FE solutions 269\u003c\/p\u003e \u003cp\u003e9.3 Analytical closed-form solution for the electromechanical analysis of plates 276\u003c\/p\u003e \u003cp\u003e9.4 Analytical closed-form solution for the electromechanical analysis of shells 283\u003c\/p\u003e \u003cp\u003e9.5 FE solution for electromechanical analysis of beams 290\u003c\/p\u003e \u003cp\u003e9.6 FE solution for electromechanical analysis of plates 296\u003c\/p\u003e \u003cp\u003eReferences 302\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndex 303\u003c\/b\u003e\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mechanical engineering \u0026amp; materials [\u003ca title=\"See our other books on Mechanical engineering \u0026amp; materials\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mechanical%20engineering%20\u0026amp;%20materials%20%5BTG%5D%22\"\u003eTG\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52278162424088,"sku":"9780470971208","price":79.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780470971208.jpg?v=1781458723","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/plates-and-shells-for-smart-structures-classical-and-advanced-theories-for-modeling-and-analysis-hardback-9780470971208","provider":"Freshly Printed Books","version":"1.0","type":"link"}