Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells
eBook - PDF

Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells

Higher-Order Strong and Weak Formulations for Arbitrarily Shaped Shell Structures

  1. 1,073 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells

Higher-Order Strong and Weak Formulations for Arbitrarily Shaped Shell Structures

About this book

This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for studying the Hygro-Thermo-Magneto-Electro- Elastic Theory of Anisotropic Doubly-Curved Shells.
In particular, a general coupled multifield theory regarding anisotropic shell structures is provided. The three-dimensional multifield problem is reduced in a two-dimensional one following the principles of the Equivalent Single Layer (ESL) approach and the Equivalent Layer-Wise (ELW) approach, setting a proper configuration model. According to the adopted configuration assumptions, several Higher-order Shear Deformation Theories (HSDTs) are obtained. Furthermore, the strong and weak formulations of the corresponding governing equations are discussed and illustrated.
The approach presented in this volume is completely general and represents a valid tool to investigate the physical behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated to this aim. Special attention is given also to advanced and innovative constituents, such as Carbon Nanotubes (CNTs), Variable Angle Tow (VAT) composites and Functionally Graded Materials (FGMs).
In addition, several numerical applications are used to support the theoretical models. Accurate, efficient and reliable numerical techniques able to approximate both derivatives and integrals are considered, which are respectively the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods.
The Theory of Composite Thin Shells is derived in a simple and intuitive manner from the theory of thick and moderately thick shells (First-order Shear Deformation Theory or Reissner- Mindlin Theory). In particular, the Kirchhoff-Love Theory and the Membrane Theory for composite shells are shown. Furthermore, the Theory of Composite Arches and Beams is also exposed. In particular, the equations of the Timoshenko Theory and the Euler-Bernoulli Theory are directly deducted from the equations of singly-curved shells of translation and of plates.

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Yes, you can access Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells by Francesco Tornabene in PDF and/or ePUB format, as well as other popular books in Technologie et ingénierie & Ingénierie civile. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells
  2. About the Author
  3. Index
  4. Preface
  5. 1 - Main Shell Structures and Elements of Differential Geometry
  6. 2 - Fundamental Equations in Principal Curvilinear Coordinates
  7. 3 - Higher-order Shear Deformation Theories: Strong Formulation
  8. 4 - Higher-order Shear Deformation Theories: Weak Formulation
  9. 5 - Numerical Applications: Dynamic and Static Analyses
  10. 6 - Higher Order Nonlinear Elastic Theory of Doubly-Curved Shells
  11. 7 - Higher-order Shear Deformation Theories: Layer-Wise Approach
  12. 8 - First-order Shear Deformation Theories
  13. 9 - Theory of Composite Thin Shells
  14. 10 - Theory of Composite Arches and Beams
  15. Appendix I - Fundamentals of Matrix Algebra and Vector Calculus
  16. Appendix II - General Curvilinear Coordinates
  17. Appendix III - Electromagnetism Equations
  18. Bibliography