Determining the strength-surface tensor components of anisotropic materials

Anisotropic Elasticity offers for the first time a comprehensive survey of the analysis of anisotropic materials that can have up to twenty-one elastic constants. Focusing on the mathematically elegant and technically powerful Stroh formalism as a means to understanding the subject, the author tackles a broad range of key topics, including antiplane deformations, Green's functions, stress singularities in composite materials, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric materials, among many others. Well written, theoretically rigorous, and practically oriented, the book will be welcomed by students and researchers alike.

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Physical Ultrasonics of Composites

10.1093/oso/9780195079609.001.0001 ◽

2011 ◽

Cited By ~ 3

Author(s):

Dale Chimenti ◽

Stanislav Rokhlin ◽

Peter Nagy

Keyword(s):

Composite Laminates ◽

Stiffness Matrix ◽

Composite Plates ◽

Anisotropic Media ◽

Anisotropic Materials ◽

Ultrasonic Waves ◽

Laminated Plates ◽

Structure Characteristic ◽

Major Advance

Physical Ultrasonics of Composites is a rigorous introduction to the characterization of composite materials by means of ultrasonic waves. Composites are treated here not simply as uniform media, but as inhomogeneous layered anisotropic media with internal structure characteristic of composite laminates. The objective here is to concentrate on exposing the singular behavior of ultrasonic waves as they interact with layered, anisotropic materials, materials which incorporate those structural elements typical of composite laminates. This book provides a synergistic description of both modeling and experimental methods in addressing wave propagation phenomena and composite property measurements. After a brief review of basic composite mechanics, a thorough treatment of ultrasonics in anisotropic media is presented, along with composite characterization methods. The interaction of ultrasonic waves at interfaces of anisotropic materials is discussed, as are guided waves in composite plates and rods. Waves in layered media are developed from the standpoint of the "Stiffness Matrix", a major advance over the conventional, potentially unstable Transfer Matrix approach. Laminated plates are treated both with the stiffness matrix and using Floquet analysis. The important influence on the received electronic signals in ultrasonic materials characterization from transducer geometry and placement are carefully exposed in a dedicated chapter. Ultrasonic wave interactions are especially susceptible to such influences because ultrasonic transducers are seldom more than a dozen or so wavelengths in diameter. The book ends with a chapter devoted to the emerging field of air-coupled ultrasonics. This new technology has come of age with the development of purpose-built transducers and electronics and is finding ever wider applications, particularly in the characterization of composite laminates.

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Fast, all-optical Rayleigh wave microscope: Imaging on isotropic and anisotropic materials

IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control ◽

10.1109/58.818749 ◽

2000 ◽

Vol 47 (1) ◽

pp. 65-74 ◽

Cited By ~ 17

Author(s):

M. Clark ◽

S.D. Sharples ◽

M.G. Somekh

Keyword(s):

Rayleigh Wave ◽

Anisotropic Materials ◽

All Optical ◽

Microscope Imaging

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A new upper bound for the largest growth rate of linear Rayleigh–Taylor instability

Journal of Inequalities and Applications ◽

10.1186/s13660-021-02613-y ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Changsheng Dou ◽

Jialiang Wang ◽

Weiwei Wang

Keyword(s):

Surface Tension ◽

Growth Rate ◽

Upper Bound ◽

Viscous Fluids ◽

Instability Condition ◽

Interface Surface ◽

Incompressible Viscous Fluids ◽

Rayleigh Taylor Instability ◽

Surface Tensor ◽

Rt Instability

AbstractWe investigate the effect of (interface) surface tensor on the linear Rayleigh–Taylor (RT) instability in stratified incompressible viscous fluids. The existence of linear RT instability solutions with largest growth rate Λ is proved under the instability condition (i.e., the surface tension coefficient ϑ is less than a threshold $\vartheta _{\mathrm{c}}$ ϑ c ) by the modified variational method of PDEs. Moreover, we find a new upper bound for Λ. In particular, we directly observe from the upper bound that Λ decreasingly converges to zero as ϑ goes from zero to the threshold $\vartheta _{\mathrm{c}}$ ϑ c .

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