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Beam structures [[electronic resource] ] : classical and advanced theories / / Erasmo Carrera, Gaetano Giunta, Marco Petrolo
Beam structures [[electronic resource] ] : classical and advanced theories / / Erasmo Carrera, Gaetano Giunta, Marco Petrolo
Autore Carrera Erasmo
Edizione [1st ed.]
Pubbl/distr/stampa Hoboken, N.J., : Wiley, 2011
Descrizione fisica 1 online resource (204 p.)
Disciplina 624.1/7723
Altri autori (Persone) GiuntaGaetano
PetroloMarco
Soggetto topico Girders
ISBN 1-283-20455-X
9786613204554
1-119-95104-6
1-119-97856-4
1-119-97857-2
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Beam Structures; Contents; About the Authors; Preface; Introduction; References; 1 Fundamental equations of continuous deformable bodies; 1.1 Displacement, strain, and stresses; 1.2 Equilibrium equations in terms of stress components and boundary conditions; 1.3 Strain displacement relations; 1.4 Constitutive relations: Hooke's law; 1.5 Displacement approach via principle of virtual displacements; References; 2 The Euler-Bernoulli and Timoshenko theories; 2.1 The Euler-Bernoulli model; 2.1.1 Displacement field; 2.1.2 Strains; 2.1.3 Stresses and stress resultants; 2.1.4 Elastica
2.2 The Timoshenko model 2.2.1 Displacement field; 2.2.2 Strains; 2.2.3 Stresses and stress resultants; 2.2.4 Elastica; 2.3 Bending of a cantilever beam: EBBT and TBT solutions; 2.3.1 EBBT solution; 2.3.2 TBT solution; References; 3 A refined beam theory with in-plane stretching: the complete linear expansion case; 3.1 The CLEC displacement field; 3.2 The importance of linear stretching terms; 3.3 A finite element based on CLEC; Further reading; 4 EBBT, TBT, and CLEC in unified form; 4.1 Unified formulation of CLEC; 4.2 EBBT and TBT as particular cases of CLEC
4.3 Poisson locking and its correction 4.3.1 Kinematic considerations of strains; 4.3.2 Physical considerations of strains; 4.3.3 First remedy: use of higher-order kinematics; 4.3.4 Second remedy: modification of elastic coefficients; References; 5 Carrera Unified Formulation and refined beam theories; 5.1 Unified formulation; 5.2 Governing equations; 5.2.1 Strong form of the governing equations; 5.2.2 Weak form of the governing equations; References; Further reading; 6 The parabolic, cubic, quartic, and N-order beam theories; 6.1 The second-order beam model, N =2
6.2 The third-order, N = 3, and the fourth-order, N = 4, beam models 6.3 N-order beam models; Further reading; 7 CUF beam FE models: programming and implementation issue guidelines; 7.1 Preprocessing and input descriptions; 7.1.1 General FE inputs; 7.1.2 Specific CUF inputs; 7.2 FEM code; 7.2.1 Stiffness and mass matrix; 7.2.2 Stiffness and mass matrix numerical examples; 7.2.3 Constraints and reduced models; 7.2.4 Load vector; 7.3 Postprocessing; 7.3.1 Stresses and strains; References; 8 Shell capabilities of refined beam theories; 8.1 C-shaped cross-section and bending-torsional loading
8.2 Thin-walled hollow cylinder 8.2.1 Static analysis: detection of local effects due to a point load; 8.2.2 Free-vibration analysis: detection of shell-like natural modes; 8.3 Static and free-vibration analyses of an airfoil-shaped beam; 8.4 Free vibrations of a bridge-like beam; References; 9 Linearized elastic stability; 9.1 Critical buckling load classic solution; 9.2 Higher-order CUF models; 9.2.1 Governing equations, fundamental nucleus; 9.2.2 Closed form analytical solution; 9.3 Examples; References; 10 Beams made of functionally graded materials; 10.1 Functionally graded materials
10.2 Material gradation laws
Record Nr. UNINA-9910139612203321
Carrera Erasmo  
Hoboken, N.J., : Wiley, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Beam structures : classical and advanced theories / / Erasmo Carrera, Gaetano Giunta, Marco Petrolo
Beam structures : classical and advanced theories / / Erasmo Carrera, Gaetano Giunta, Marco Petrolo
Autore Carrera Erasmo
Edizione [1st ed.]
Pubbl/distr/stampa Hoboken, N.J., : Wiley, 2011
Descrizione fisica 1 online resource (204 p.)
Disciplina 624.1/7723
Altri autori (Persone) GiuntaGaetano
PetroloMarco
Soggetto topico Girders
ISBN 1-283-20455-X
9786613204554
1-119-95104-6
1-119-97856-4
1-119-97857-2
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Beam Structures; Contents; About the Authors; Preface; Introduction; References; 1 Fundamental equations of continuous deformable bodies; 1.1 Displacement, strain, and stresses; 1.2 Equilibrium equations in terms of stress components and boundary conditions; 1.3 Strain displacement relations; 1.4 Constitutive relations: Hooke's law; 1.5 Displacement approach via principle of virtual displacements; References; 2 The Euler-Bernoulli and Timoshenko theories; 2.1 The Euler-Bernoulli model; 2.1.1 Displacement field; 2.1.2 Strains; 2.1.3 Stresses and stress resultants; 2.1.4 Elastica
2.2 The Timoshenko model 2.2.1 Displacement field; 2.2.2 Strains; 2.2.3 Stresses and stress resultants; 2.2.4 Elastica; 2.3 Bending of a cantilever beam: EBBT and TBT solutions; 2.3.1 EBBT solution; 2.3.2 TBT solution; References; 3 A refined beam theory with in-plane stretching: the complete linear expansion case; 3.1 The CLEC displacement field; 3.2 The importance of linear stretching terms; 3.3 A finite element based on CLEC; Further reading; 4 EBBT, TBT, and CLEC in unified form; 4.1 Unified formulation of CLEC; 4.2 EBBT and TBT as particular cases of CLEC
4.3 Poisson locking and its correction 4.3.1 Kinematic considerations of strains; 4.3.2 Physical considerations of strains; 4.3.3 First remedy: use of higher-order kinematics; 4.3.4 Second remedy: modification of elastic coefficients; References; 5 Carrera Unified Formulation and refined beam theories; 5.1 Unified formulation; 5.2 Governing equations; 5.2.1 Strong form of the governing equations; 5.2.2 Weak form of the governing equations; References; Further reading; 6 The parabolic, cubic, quartic, and N-order beam theories; 6.1 The second-order beam model, N =2
6.2 The third-order, N = 3, and the fourth-order, N = 4, beam models 6.3 N-order beam models; Further reading; 7 CUF beam FE models: programming and implementation issue guidelines; 7.1 Preprocessing and input descriptions; 7.1.1 General FE inputs; 7.1.2 Specific CUF inputs; 7.2 FEM code; 7.2.1 Stiffness and mass matrix; 7.2.2 Stiffness and mass matrix numerical examples; 7.2.3 Constraints and reduced models; 7.2.4 Load vector; 7.3 Postprocessing; 7.3.1 Stresses and strains; References; 8 Shell capabilities of refined beam theories; 8.1 C-shaped cross-section and bending-torsional loading
8.2 Thin-walled hollow cylinder 8.2.1 Static analysis: detection of local effects due to a point load; 8.2.2 Free-vibration analysis: detection of shell-like natural modes; 8.3 Static and free-vibration analyses of an airfoil-shaped beam; 8.4 Free vibrations of a bridge-like beam; References; 9 Linearized elastic stability; 9.1 Critical buckling load classic solution; 9.2 Higher-order CUF models; 9.2.1 Governing equations, fundamental nucleus; 9.2.2 Closed form analytical solution; 9.3 Examples; References; 10 Beams made of functionally graded materials; 10.1 Functionally graded materials
10.2 Material gradation laws
Record Nr. UNINA-9910814878703321
Carrera Erasmo  
Hoboken, N.J., : Wiley, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Finite element analysis of structures through unified formulation / / Erasmo Carrera [and three others]
Finite element analysis of structures through unified formulation / / Erasmo Carrera [and three others]
Autore Carrera Erasmo
Pubbl/distr/stampa Chichester, England : , : Wiley, , 2014
Descrizione fisica 1 online resource (412 p.)
Disciplina 518/.25
Soggetto topico Finite element method
Numerical analysis
ISBN 1-118-53665-7
1-118-53664-9
1-118-53666-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Finite Element Analysis of Structures Through Unified Formulation; Contents; About the Authors; Preface; Nomenclature and Acronyms; Symbols; Acronyms; 1 Introduction; 1.1 What is in this Book; 1.2 The Finite Element Method; 1.2.1 Approximation of the Domain; 1.2.2 The Numerical Approximation; 1.3 Calculation of the Area of a Surface with a Complex Geometry via the FEM; 1.4 Elasticity of a Bar; 1.5 Stiffness Matrix of a Single Bar; 1.6 Stiffness Matrix of a Bar via the PVD; 1.7 Truss Structures and Their Automatic Calculation by Means of the FEM; 1.8 Example of a Truss Structure
1.8.1 Element Matrices in the Local Reference System1.8.2 Element Matrices in the Global Reference System; 1.8.3 Global Structure Stiffness Matrix Assembly; 1.8.4 Application of Boundary Conditions and the Numerical Solution; 1.9 Outline of the Book Contents; References; 2 Fundamental Equations of 3D Elasticity; 2.1 Equilibrium Conditions; 2.2 Geometrical Relations; 2.3 Hooke's Law; 2.4 Displacement Formulation; Further Reading; 3 From 3D Problems to 2D and 1D Problems: Theories for Beams, Plates and Shells; 3.1 Typical Structures; 3.1.1 Three-Dimensional Structures (Solids)
3.1.2 Two-Dimensional Structures (Plates, Shells and Membranes)3.1.3 One-Dimensional Structures (Beams and Bars); 3.2 Axiomatic Method; 3.2.1 Two-Dimensional Case; 3.2.2 One-Dimensional Case; 3.3 Asymptotic Method; Further Reading; 4 Typical FE Governing Equations and Procedures; 4.1 Static Response Analysis; 4.2 Free Vibration Analysis; 4.3 Dynamic Response Analysis; References; 5 Introduction to the Unified Formulation; 5.1 Stiffness Matrix of a Bar and the Related FN; 5.2 Case of a Bar Element with Internal Nodes; 5.2.1 The Case of Bar with Three Nodes
5.2.2 The Case of an Arbitrary Defined Number of Nodes5.3 Combination of the FEM and the Theory of Structure Approximations: A Four-Index FN and the CUF; 5.3.1 FN for a 1D Element with a Variable Axial Displacement over the Cross-section; 5.3.2 FN for a 1D Structure with a Complete Displacement Field: The Case of a Refined Beam Model; 5.4 CUF Assembly Technique; 5.5 CUF as a Unique Approach for 1D, 2D and 3D Structures; 5.6 Literature Review of the CUF; References; 6 The Displacement Approach via the PVD and FN for 1D, 2D and 3D Elements
6.1 Strong Form of the Equilibrium Equations via the PVD6.1.1 The Two Fundamental Terms of the FN; 6.2 Weak Form of the Solid Model Using the PVD; 6.3 Weak Form of a Solid Element Using Index Notation; 6.4 FN for 1D, 2D and 3D Problems in Unique Form; 6.4.1 Three-Dimensional Models; 6.4.2 Two-Dimensional Models; 6.4.3 One-Dimensional Models; 6.5 CUF at a Glance; References; 7 Three-Dimensional FEM Formulation (Solid Elements); 7.1 An Eight-Node Element Using Classical Matrix Notation; 7.1.1 Stiffness Matrix; 7.1.2 Load Vector; 7.2 Derivation of the Stiffness Matrix Using the Index Notation
7.2.1 Governing Equations
Record Nr. UNINA-9910132174803321
Carrera Erasmo  
Chichester, England : , : Wiley, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Plates and shells for smart structures [[electronic resource] ] : classical and advanced theories for modeling and analysis / / Erasmo Carrera, Salvatore Brischetto and Pietro Nali
Plates and shells for smart structures [[electronic resource] ] : classical and advanced theories for modeling and analysis / / Erasmo Carrera, Salvatore Brischetto and Pietro Nali
Autore Carrera Erasmo
Edizione [1st ed.]
Pubbl/distr/stampa Hoboken, N.J., : Wiley, 2011
Descrizione fisica 1 online resource (323 p.)
Disciplina 624.1/776
Altri autori (Persone) BrischettoSalvatore
NaliPietro
Soggetto topico Shells (Engineering)
Plates (Engineering)
Smart structures
ISBN 1-119-95112-7
1-283-24671-6
9786613246714
1-119-95000-7
1-119-95001-5
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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, F, sn); 2.5.2 RMVT(u, F, Dn); 2.5.3 RMVT(u, F, sn, Dn); References
3 Classical plate/shell theories3.1 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 structures3.5.1 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 plates6.1 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, F) for the electromechanical plate case; 6.4 RMVT(u, F, sn) for the electromechanical plate case; 6.5 RMVT(u, F, Dn) for the electromechanical plate case; 6.6 RMVT(u, F, sn, Dn) for the electromechanical plate case
6.7 Assembly procedure for fundamental nuclei6.8 Acronyms for refined and advanced models; 6.9 Pure mechanical problems as particular cases, PVD(u) andRMVT(u, sn); 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
Record Nr. UNINA-9910139610203321
Carrera Erasmo  
Hoboken, N.J., : Wiley, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Plates and shells for smart structures : classical and advanced theories for modeling and analysis / / Erasmo Carrera, Salvatore Brischetto and Pietro Nali
Plates and shells for smart structures : classical and advanced theories for modeling and analysis / / Erasmo Carrera, Salvatore Brischetto and Pietro Nali
Autore Carrera Erasmo
Edizione [1st ed.]
Pubbl/distr/stampa Hoboken, N.J., : Wiley, 2011
Descrizione fisica 1 online resource (323 p.)
Disciplina 624.1/776
Altri autori (Persone) BrischettoSalvatore
NaliPietro
Soggetto topico Shells (Engineering)
Plates (Engineering)
Smart structures
ISBN 1-119-95112-7
1-283-24671-6
9786613246714
1-119-95000-7
1-119-95001-5
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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, F, sn); 2.5.2 RMVT(u, F, Dn); 2.5.3 RMVT(u, F, sn, Dn); References
3 Classical plate/shell theories3.1 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 structures3.5.1 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 plates6.1 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, F) for the electromechanical plate case; 6.4 RMVT(u, F, sn) for the electromechanical plate case; 6.5 RMVT(u, F, Dn) for the electromechanical plate case; 6.6 RMVT(u, F, sn, Dn) for the electromechanical plate case
6.7 Assembly procedure for fundamental nuclei6.8 Acronyms for refined and advanced models; 6.9 Pure mechanical problems as particular cases, PVD(u) andRMVT(u, sn); 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
Record Nr. UNINA-9910812014303321
Carrera Erasmo  
Hoboken, N.J., : Wiley, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Thermal stress analysis of beams, plates and shells : computational modelling and applications / / Erasmo Carrera, Fiorenzo A. Fazzolari, Maria Cinefra
Thermal stress analysis of beams, plates and shells : computational modelling and applications / / Erasmo Carrera, Fiorenzo A. Fazzolari, Maria Cinefra
Autore Carrera Erasmo
Pubbl/distr/stampa Amsterdam, [Netherlands] : , : Elsevier, , 2017
Descrizione fisica 1 online resource (442 pages) : illustrations (some color), photographs
Disciplina 543.086
Soggetto topico Thermal analysis
Thermoelasticity
ISBN 0-12-420093-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910583087203321
Carrera Erasmo  
Amsterdam, [Netherlands] : , : Elsevier, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui