Wave Propagation in Layered Anisotropic Media: with Application to Composites
Recent advances in the study of the dynamic behavior of layered materials in general, and laminated fibrous composites in particular, are presented in this book. The need to understand the microstructural behavior of such classes of materials has brought a new challenge to existing analytical tools. This book explores the fundamental question of how mechanical waves propagate and interact with layered anisotropic media. The chapters are organized in a logical sequence depending upon the complexity of the physical model and its mathematical treatment.
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CHAPTER 12 PIEZOELECTRIC EFFECTS
CHAPTER 13 TRANSIENT WAVES
CHAPTER 14 SCATTERING FROM LAYERED CYLINDERS
CHAPTER 15 ELASTIC PROPERTIES OF COMPOSITES
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acoustic amplitudes anisotropic media axis azimuthal angle beam behavior chapter characteristic equation Chimenti coefﬁcient composite coordinate system corresponding critical angle deﬁnes deﬁnitions displacement and stress displacement components eigenvalues elastic waves equa ﬁber ﬁbrous ﬁeld equations ﬁeld variables Figure ﬁnally ﬁnite ﬁrst ﬂuid formal solutions free waves frequency graphite-epoxy higher symmetry horizontally polarized identiﬁed incident angle incident wave inﬁnite inﬂuence interface conditions isotropic layered plate leaky wave longitudinal longitudinal wave medium monoclinic monoclinic materials motion multilayered Nayfeh obtained orthotropic materials parameters phase velocity propagation direction properties pseudo-surface pure modes quasi-longitudinal quasi-shear wave Rayleigh wave reﬂected ﬁeld reﬂection and transmission reﬂection coefficient respectively sagittal plane Scholte wave semi-space SH wave shear wave shown in ﬁgure simpliﬁcations situation slowness curves solid speciﬁc substrate surface wave symmetry materials tensor tion transfer matrix transformation triclinic ultrasonic vanishing vector wave components wave front wave propagation wave speed wavenumber