Mechanics of Functionally Graded Material Structures

Mechanics of Functionally Graded Material Structures is an authoritative and fresh look at various functionally graded materials, customizing them with various structures. The book is devoted to tailoring material properties to the needed structural performance. The authors pair materials with the appropriate structures based upon their purpose and use.

Material grading of structures depending upon thickness, axial and polar directions are discussed. Three dimensional analysis of rectangular plates made of functional graded materials and vibrational tailoring of inhomogeneous beams and circular plates are both covered in great detail. The authors derive novel closed form solutions that can serve as benchmarks that numerical solutions can be compared to. These are published for the first time in the literature. This is a unique book that gives the first exposition of the effects of various grading mechanisms on the structural behavior as well as taking into account vibrations and buckling.

Contents:

• Three-Dimensional Analysis of Rectangular Plates Made of Functionally Graded Materials:

  • Elastic Plates
  • Introduction to Functionally Graded Materials
  • Dynamic Analysis of Plates Made of Functionally Graded Materials
  • Static Analysis of Plates Made of Functionally Graded Materials

• Vibration Tailoring of Inhomogenous Beams and Circular Plates:

  • Beams Made of Functionally Graded Material
  • Vibration Tailoring of Inhomogeneous Elastically Restrained Vibrating Beams
  • Some Intriguing Results Pertaining to Functionally Graded Columns
  • Design of Heterogeneous Polar–Orthotropic Clamped Circular Plates with Specified Fundamental Natural Frequency
  • Vibration Tailoring of Simply-Supported Polar Orthotropic Inhomogeneous Circular Plates
  • Vibration Tailoring of Clamped–Clamped Polar Orthotropic Inhomogeneous Circular Plates
  • Vibration Tailoring of a Polar Orthotropic Circular Plate with Translational Spring
  • Conclusion

• Appendices:

  • A Novel Formulation Leading to Closed-Form Solutions for Buckling of Circular Plates
  • Inverse Vibration Problem for Inhomogeneous Circular Plate with Translational Spring
  • Apparently First Closed-Form Solutions for Non-Symmetric Vibrations of Inhomogeneous Circular Plates
  • Closed-Form Solution for Axisymmetric Vibration of Inhomogeneous Simply-Supported Circular Plates

Readership: Graduate students, academics, professional and researchers interested in the effects of various grading mechanisms on structural behavior as well as vibration and buckling.
Key Features:

• This book deals with material grading of structures in (a) thickness, (b) axial and (c) polar directions
• It derives novel closed-form solutions that can serve as benchmarks with which numerical solutions can be compared with
• It contains extensive bibliography in this fascinating topic