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Asymptotic Behavior of Eigenvalues for Finite, Inhomogeneous Elastic Rods
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Asymptotic expressions for the eigenvalues and the corresponding eigenfunctions for the free vibrations of an inhomogeneous elastic rod with a finite length are derived. The derivation is based ...
Dynamically Induced Interfacial Stresses in Fibrous Composites
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The recently developed continuum mixture theories of fibrous composites are further extended to determine the interfacial shear stresses that develop in such composites upon their dynamic loadings. ...
A Continuum Mixture Theory of Heat Conduction in Laminated Composites
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A continuum mixture theory with microstructure is developed for heat conduction in laminated wave guides. The theory leads to simple governing equations for the actual composite which retain the ...
Time-Harmonic Waves Propagating Normal to the Layers of Multilayered Periodic Media
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The dispersion relation is derived for time-harmonic waves propagating normal to the layers of a multilayered periodic composite. The known relations for the homogeneous and the bilaminated media ...
Elastic Waves in Inhomogeneous Elastic Media
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The WKB solution is derived together with the condition for its validity for elastic waves propagating into an inhomogeneous elastic medium. Large frequency expansion solution is also derived. ...
Ultrasonic Wave Reflection From Liquid-Coupled Orthotropic Plates With Application to Fibrous Composites
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We present a unified analytical treatment supported by extensive experimental data of the interaction of ultrasonic waves with arbitrarily-oriented orthotropic elastic plates. The plates are assumed ...
Dynamic Characteristics of Large Repetitive Framelike Structures
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Using a building block approach and starting with a single element, expressions for the energy of various two-dimensional frametype gridwork configurations are derived. These are then used to ...
Free Wave Propagation in Plates of General Anisotropic Media
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We develop the analysis for the propagation of free waves in a general anisotropic plate. We begin with a formal analysis of waves in a plate belonging to the triclinic symmetry group. The ...
A Continuum Theory for Wave Propagation in Laminated Composites—Case 1: Propagation Normal to the Laminates
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A continuum theory is developed for wave propagation normal to the layers of a laminated composite with elastic, periodic, microstructure. Construction is based upon an asymptotic scheme in which ...
A Continuum Approach to the Propagation of Shear Waves in Laminated Wave Guides
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We develop a continuum mixture theory to study harmonic and transient shear wave motions in laminated wave guides. Both transversely (SV) and horizontally (SH) polarized waves are considered. ...