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Book Cover
Author Rokhlin, Stanislav

Title Physical Ultrasonics of Composites
Published Oxford : Oxford University Press, 2011
Online access available from:
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Description 1 online resource (401 pages)
Contents Preface; Introduction; 1 Fundamentals of Composite Elastic Properties; 1.1 Introduction; 1.2 Mechanical Relationships; 1.2.1 Stress; 1.2.2 Strain; 1.2.3 Constitutive equation; 1.3 Generalized Hooke's Law; 1.4 Stress-Strain Relations for Media of Higher Symmetries; 1.4.1 Monoclinic symmetry; 1.4.2 Orthotropic symmetry; 1.4.3 Transversely isotropic symmetry; 1.4.4 Cubic symmetry; 1.4.5 Isotropic material; 1.5 Relation between Stiffness and Compliance; 1.5.1 Engineering constants for orthotropic materials; 1.6 Determination of the Full Compliance Matrix
1.7 Material Coordinate System Transformations1.7.1 Property matrices in a rotated coordinate system; 1.7.2 Rotation about the x[(sub)3] axis; 1.8 Analysis in a Planar Geometry; 1.8.1 Two-dimensional stress-strain relations; 1.8.2 Rotation about the principal axis; 1.8.3 Boron-epoxy composite: An example; 1.9 Experimental Determination of Stiffness; Bibliography; 2 Elastic Waves in Anisotropic Media; 2.1 Equations of Motion; 2.1.1 Introduction; 2.1.2 Differential approach; 2.1.3 Integral principle; 2.2 Plane Wave Propagation in Bulk Materials; 2.3 Determination of the Polarization Vectors
2.4 Example: Plane Waves in an Orthotropic Material2.5 Energy Flux and Group Velocity; 2.6 Relation between the Phase and Group Velocities; 2.7 Measurement of the Group Velocity; 2.8 Examples; 2.9 Phase Velocity, Group Velocity, and Slowness; 2.9.1 Slowness; 2.9.2 Examples for a graphite-epoxy composite; 2.9.3 Phase and group velocities in symmetry planes of orthotropic materials; 2.9.4 Phase and group velocities in non-symmetry planes of orthotropic and transversely isotropic materials; Bibliography; 3 Bulk Ultrasonic Techniques for Evaluation of Elastic Properties
3.1 Bulk Wave Refraction Method for Phase Velocity Measurement3.1.1 Introduction; 3.1.2 Delay times for phase and group velocities in a solid layer of general anisotropy; 3.1.3 Phase velocity measurement; 3.1.4 Double through-transmission phase velocity measurement; 3.1.5 Self-reference method; 3.1.6 Multiple reflection method; 3.1.7 Comments on accuracy, phase correction, and applicability of the plane wave approximation in angle-beam, self-referenced, through-transmission method; 3.2 Examples of Bulk Wave Refraction Velocity Measurements; 3.2.1 Experimental apparatus
3.2.2 Double through-transmission method for graphite/epoxy composites3.3 Critical Angle Measurement of Elastic Constants; 3.3.1 Introduction; 3.3.2 Concept of the method; 3.3.3 Critical angle measurements; 3.3.4 Experimental results for graphite/epoxy composites; 3.4 Determination of Elastic Constants from Phase Velocity Data; 3.4.1 Reconstruction of elastic constants; 3.4.2 Stability of the reconstruction algorithm; 3.5 Group Velocity Measurements; 3.5.1 Reconstruction of elastic constants from group velocity data; 3.5.2 Determination of elastic constants from group velocity
Summary The objective of this book is to treat the behavior of ultrasonic waves as they interact with layered, anisotropic materials incorporating those structural aspects unique to composite laminates addressing both experimental and modeling methodologies. Anisotropic material interfaces, guided waves, waves in layered media and laminated plates are treated. The influence of finite-aperture transducers on electronic signals and the field of air-coupled ultrasonics end the work
Notes 3.5.3 Comparison of the reconstruction results from group and phase velocity data in symmetry planes
Print version record
Subject Composite materials -- Testing
Ultrasonic testing
Composite materials -- Testing.
Ultrasonic testing.
Form Electronic book
Author Chimenti, Dale
Nagy, Peter
ISBN 0195079604