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Thermal Stress Analysis of Composite Beams, Plates and Shells
Computational Modelling and Applications
1st Edition - November 25, 2016
Authors: Erasmo Carrera, Fiorenzo A. Fazzolari
Language: English
Paperback ISBN:9780128498927
9 7 8 - 0 - 1 2 - 8 4 9 8 9 2 - 7
eBook ISBN:9780124200937
9 7 8 - 0 - 1 2 - 4 2 0 0 9 3 - 7
Thermal Stress Analysis of Composite Beams, Plates and Shells: Computational Modelling and Applications presents classic and advanced thermal stress topics in a cutting-e…Read more
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Thermal Stress Analysis of Composite Beams, Plates and Shells: Computational Modelling and Applications presents classic and advanced thermal stress topics in a cutting-edge review of this critical area, tackling subjects that have little coverage in existing resources. It includes discussions of complex problems, such as multi-layered cases using modern advanced computational and vibrational methods.
Authors Carrera and Fazzolari begin with a review of the fundamentals of thermoelasticity and thermal stress analysis relating to advanced structures and the basic mechanics of beams, plates, and shells, making the book a self-contained reference. More challenging topics are then addressed, including anisotropic thermal stress structures, static and dynamic responses of coupled and uncoupled thermoelastic problems, thermal buckling, and post-buckling behavior of thermally loaded structures, and thermal effects on panel flutter phenomena, amongst others.
Provides an overview of critical thermal stress theory and its relation to beams, plates, and shells, from classical concepts to the latest advanced theories
Appeals to those studying thermoelasticity, thermoelastics, stress analysis, multilayered structures, computational methods, buckling, static response, and dynamic response
Includes the authors' unified formulation (UF) theory, along with cutting-edge topics that receive little coverage in other references
Covers metallic and composite structures, including a complete analysis and sample problems of layered structures, considering both mesh and meshless methods
Presents a valuable resource for those working on thermal stress problems in mechanical, civil, and aerospace engineering settings
Engineers, researchers and graduate students in mechanical, civil and aerospace engineering working on thermal stress problems
About the Authors
Preface
References
Introduction
Thermal structures and their applications
Advanced structural theories in the modelling of thermal stress problems
Classification of thermoelastic problems
Book's content
References
Part I: Thermoelasticity
Chapter 1: Fundamentals of thermoelasticity
Abstract
1.1. Stress tensor
1.2. Displacement and strain tensor
1.3. Conservation laws
1.4. Three-dimensional thermoelasticity
1.5. Two-dimensional thermoelasticity
References
Chapter 2: Solution of sample problems in classical thermoelasticity
Abstract
2.1. Sample problems in thermoelasticity
2.2. Heat conductions problems
References
Chapter 3: Coupled and uncoupled variational formulations
Abstract
3.1. Classical variational principles
3.2. Thermoelastic variational formulations
References
Part II: Classical and Advanced Modelling of Thermal Structures
Chapter 4: Fundamental of mechanics of beams, plates and shells
Abstract
4.1. Typical structures
4.2. Axiomatic method
4.3. Asymptotic method
4.4. Beam
4.5. Classical models and the complete linear expansion case
4.6. Plate
4.7. Classical models and the complete linear expansion
4.8. 2D shell models with N-order displacement field, the Taylor expansion class
4.9. Geometry description
4.10. Classical models and unified formulation
References
Chapter 5: Advanced theories for composite beams, plates and shells
Abstract
5.1. Introduction to the unified formulation
5.2. Stiffness matrix of a bar and the related fundamental nucleus
5.3. Fundamental nucleus for the case of a bar element with internal nodes
5.4. FEM and the theory of structure: a four indices fundamental nucleus
5.5. The assembly procedure
5.6. A unified approach for one-, two- and three-dimensional structures
5.7. Beam
5.8. DEBBT, TBT and N=1 in unified form
5.9. Higher-order models
5.10. 1D models with a physical volume/surface-based geometry and pure displacement variables, the Lagrange Expansion class (LE)
5.11. Physical volume/surface approach
5.12. Lagrange polynomials and isoparametric formulation
5.13. LE displacement fields and cross-section elements
5.14. Cross-section multi-elements and locally refined models
5.15. Plate
5.16. CPT, FSDT and N=1 model in unified form
5.17. Unified formulation of N-order
5.18. 2D models with physical volume/surface-based geometry and pure displacement variables, the Lagrange expansion class (LE)
5.19. Physical volume/surface approach
5.20. Lagrange expansion model
5.21. Extension to multilayered structures
5.22. Multilayered structures
5.23. Theories on multilayered structures
5.24. Unified formulation for multilayered structures
5.25. UF in terms of 1×1 secondary nuclei
5.26. Discussion on possible best beam, plate and shell diagrams
11.3. Thermal loading: higher-order effects on displacements and stress results
11.4. Thermal loading: assessment of temperature profile, steady-state solution
11.5. Thermo-mechanical dynamic analysis of aluminum plate
References
Chapter 12: Thermal buckling
Abstract
12.1. Introduction
12.2. Thermal buckling analysis of laminated composite and sandwich structures
12.3. Influence of thermal-mechanical interaction loadings on the circular frequency parameters
References
Chapter 13: Thermal stresses in functionally graded materials
Abstract
13.1. Introduction
13.2. Natural frequencies of FGM isotropic and sandwich plates
13.3. Critical temperature of FGM isotropic and sandwich plates
13.4. Free vibration characteristics of FGM sandwich plates in thermal environment
References
Chapter 14: Thermal effect on flutter of panels
Abstract
14.1. Introduction
14.2. Flutter behaviour of flat panels in supersonic flow
14.3. Aeroelastic instabilities of FGM panels under thermo-mechanical loads
References
Index
No. of pages: 440
Language: English
Edition: 1
Published: November 25, 2016
Imprint: Academic Press
Paperback ISBN: 9780128498927
eBook ISBN: 9780124200937
EC
Erasmo Carrera
Erasmo Carrera is a leading expert on advanced structural models for thermal stress analysis. He has published more than 30 articles on thermal stress problems, is an editorial board member for Journal of Thermal Stresses and editor-in-chief of the International Journal of Advances on Aircraft and Spacecraft Sciences
Affiliations and expertise
Professor of Space Structures and Thermal Stresses, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Italy
FF
Fiorenzo A. Fazzolari
Affiliations and expertise
Department of Engineering, University of Cambridge, United Kingdom
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