Weiqiu Chen – författare

This book presents basic theory on static Green's functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. Green's functions corresponding to the reduced cases are also presented including those in anisotropic and transversely isotropic piezoelectric and piezomagnetic media, and in purely anisotropic elastic, transversely isotropic elastic and isotropic elastic media. Problems include those in three-dimensional, (two-dimensional) infinite, half, and biomaterial spaces (planes). While the emphasis is on the Green's functions related to the line and point force, those corresponding to the important line and point dislocation are also provided and discussed. This book provides a comprehensive derivation and collection of the Green's functions in the concerned media, and as such, it is an ideal reference book for researchers and engineers, and a textbook for both students in engineering and applied mathematics.

This book aims to provide a comprehensive introduction to the theory and applications of the mechanics of transversely isotropic elastic materials. There are many reasons why it should be written. First, the theory of transversely isotropic elastic materials is an important branch of applied mathematics and engineering science; but because of the difficulties caused by anisotropy, the mathematical treatments and descriptions of individual problems have been scattered throughout the technical literature. This often hinders further development and applications. Hence, a text that can present the theory and solution methodology uniformly is necessary. Secondly, with the rapid development of modern technologies, the theory of transversely isotropic elasticity has become increasingly important. In addition to the fields with which the theory has traditionally been associated, such as civil engineering and materials engineering, many emerging technologies have demanded the development of transversely isotropic elasticity. Some immediate examples are thin film technology, piezoelectric technology, functionally gradient materials technology and those involving transversely isotropic and layered microstructures, such as multi-layer systems and tribology mechanics of magnetic recording devices. Thus a unified mathematical treatment and presentation of solution methods for a wide range of mechanics models are of primary importance to both technological and economic progress.

This edited work covers piezoelectric materials in the form of beams, plates, shells, and other structural components in modern devices and structures. Applications are frequency control and detection functions in resonators, sensors, actuators, oscillations, and other smart and intelligent structures. The products and technology are with us in our daily life through computers and communication devices.The contributions cover novel methods for the analysis of piezoelectric structures including wave propagation, high frequency vibration, material characterization, and optimization of structures. Understanding of these methods is increasingly important in the design and modelling of next generation devices and micro-structures with piezoelectric elements and effects.

This book presents a comprehensive and systematic analysis of problems of transversely isotropic materials that have wide applications in civil, mechanical, aerospace, materials processing and manufacturing engineering. Various efficient methods based on three-dimensional elasticity are developed under a unified framework, including the displacement method, the stress method, and the state-space method. In particular, a three-dimensional general solution is derived to solve practical problems such as the infinite space, half-space, bimaterial space, layered medium, bodies of revolution, thermal stresses and three-dimensional contact. Exact and analytical solutions are also developed for static and dynamic problems of plates and shells, which may be used as the benchmarks for numerical or approximate analysis. Coupling effects of inner/outer fluids and surrounding elastic media on the free vibration of cylindrical and spherical shells are discussed in detail. New state-space formulations are established for the analysis of rectangular plates and spherical shells, from which two independent classes of vibrations can be easily clarified.In short, this is the first monograph on machines of transversely isotropic materials, which is unique, covers topics of practical importance and provides many references for the reader.

It is appropriate for an audience at of graduate students, faculties, researchers, and professionals in the fields of Materials Science, Mechanical Engineering, Civil Engineering, Engineering Mechanics, and Aerospace Engineering.