1st Edition

Elastic Waves in Composite Media and Structures With Applications to Ultrasonic Nondestructive Evaluation

By Subhendu K. Datta, Arvind H. Shah Copyright 2008
    336 Pages 142 B/W Illustrations
    by CRC Press

    New applications for composite materials are being developed at a rapid pace. However, their complex microstructures present considerable challenges for nondestructive testing and characterization. Ultrasonic waves provide quantitative means of nondestructive evaluation of these materials and structures. For this purpose, it is necessary to obtain a clear understanding of the characteristic features of guided elastic wave propagation in such materials and structures and their dynamic response..

    Elastic Waves in Composite Media and Structures presents effective analytical and numerical techniques to study the characteristic features of elastic guided waves in fiber reinforced laminated media. The book closely examines the salient features of dispersive guided modes and how they are modified by defects, inhomogeneities, and boundaries. An accompanying CD-ROM contains executable computer programs, which can be used to simulate different scenarios for designing and interpreting ultrasonic experiments.

    Using the extensive numerical results provided by this cutting-edge resource, researchers and practitioners will gain valuable insight into how to develop effective methods for nondestructive testing of composite materials.

    Historical Background
    Scope of the Book

    Fundamentals of Elastic Waves in Anisotropic Media
    Waves in Homogeneous Elastic Media: Formulation of Field Equations
    Plane Waves in a Homogeneous Anisotropic Medium
    Numerical Results and Discussion

    Periodic Layered Media
    Description of the Problem
    Numerical Results

    Guided Waves in Fiber-Reinforced Composite Plates
    Governing Equations
    Numerical Results
    Application to Materials Characterization
    Thin Layers
    Guided Waves in Plates with Thin Coating and Interface Layers
    Transient Response due to a Concentrated Source of Excitation
    Laminated Plate with Interface Layers
    Laser-Generated Thermoelastic Waves
    Results for Thermoelastic Dispersion and Laser-Generated Waves

    Wave Propagation in Composite Cylinders
    Governing Equations
    Analytical Solution for Transversely Isotropic Composite Cylinder
    Stiffness Method I
    Stiffness Method II
    Numerical Results—Circular CylinderGuided Waves in a Cylinder of Arbitrary Cross Section
    Numerical Results—Cylinder with Rectangular and Trapezoidal Cross Sections
    Harmonic Response of a Composite Circular Cylinder due to a Point Force
    Forced Motion of Finite-Width Plate

    Scattering of Guided Waves in Plates and Cylinders
    Scattering in a Plate
    Scattering in a Pipe

    Appendix A: Computer Programs
    Executing Programs



    Subhendu K. Datta

    The authors present fundamental equations and their solutions for plane wave propagation in an infinite homogeneous anisotropic elastic material. … A systematic investigation of the effect of different fiber layups and increasing number of laminae on the dispersion characteristics reveals features that are useful for experimental determination of lamina properties. … Comparison with some available experimental results shows good agreement between the model results and observations.
    Zentralblatt MATH 1169