Elastic Waves in Anisotropic Laminates

Abstract

Fundamentals of Waves in Elastic Solids -- Formulation of Longitudinal Wave in a Bar -- Statement of the Problem -- Strain-Displacement Relation -- Constitutive Equation -- Equation of Motion for Free Wave Motion -- Free Wave Motion in Infinite Bars -- Free Wave Motion in a Finite Bar -- Forced Wave Motion in an Infinite Bar -- Forced Wave Motion in a Finite Bar -- Transient Waves in an Infinite Bar -- Waves in Plates of Functionally Graded Material -- Element of Linear Property Variation -- Boundary and Continuity Conditions -- Transient Response -- Evaluation of Confluent Hypergeometric Function -- Integral of Gamma Function -- Integral of Confluent Hypergeometric Function -- Interval Division and Error Control -- Confluent Hypergeometric Function -- Wave Fields in FGM Plates -- Free Wave Motion in Anisotropic Laminates -- Basic Equations -- Constitutive Equations -- Equation of Motion -- Strain-Displacement Equation -- Continuity Equations Between Layers -- Boundary Conditions -- Wave Equation -- Derivation of Dispersion Equation -- Bulk Waves in 3D Anisotropic Solids -- Lamb Waves in Laminates -- Strain Energy Distribution -- Dispersion and Anisotropy of Phase Velocities -- Strain Energy Distribution -- Forced Wave Motion in Composite Laminates -- Basic Equations -- Strain-Displacement Relation -- Stress-Strain Relation -- Equation of Motion -- Boundary and Interface Conditions -- Displacement in the Wavenumber Domain -- A Technique for the Inverse Fourier Integration -- Response in Time Domain -- Poles and Complex Paths.