This seminal book unites three different areas of modern science: the micromechanics and nanomechanics of composite materials; wavelet analysis as applied to physical problems; and the propagation of a new type of solitary wave in composite materials, nonlinear waves. Each of the three areas is described in a simple and understandable form, focusing on the many perspectives of the links among the three. All of the techniques and procedures are described here in the clearest and most open form, enabling the reader to quickly learn and use them when faced with the new and more advanced problems that are proposed in this book. By combining these new scientific concepts into a unitary model and enlightening readers on this pioneering field of research, readers will hopefully be inspired to explore the more advanced aspects of this promising scientific direction. The application of wavelet analysis to nanomaterials and waves in nanocomposites can be very appealing to both specialists working on theoretical developments in wavelets as well as specialists applying these methods and experiments in the mechanics of materials. Contents: Wavelet Analysis Materials with Micro- or Nanostructure Waves in Materials Simple and Solitary Waves in Materials Solitary Waves and Elastic Waves Readership: Advanced undergraduate and graduate students as well as experts in mathematical modeling, engineering mechanics and mechanics, physics; specialists in wavelet and wave analysis as tools for mathematical modeling. “… this original book offers three facets of great interest. The first one presents a useful condensed resume on wavelets for nonspecialists. The second produces a view of waves that is also original in exhibiting the specific role played by special functions such as Chebyshev-Hermite functions. The third puts forward the notion of elastic wavelets, an approach that considerably extends the class of analysable initial pulses as recorded in mechanical experiments … this book may be of high interest to many scientists in modern materials sciences, applied mathematicians and theoretical mechanicians, and all those interested in the dynamical analysis of real materials endowed with a microstructure.” Zentralblatt MATH
Wavelet and Wave Analysisas applied to Materials with Micro or Nanostructure
CATTANI, Carlo;
2007-01-01
Abstract
This seminal book unites three different areas of modern science: the micromechanics and nanomechanics of composite materials; wavelet analysis as applied to physical problems; and the propagation of a new type of solitary wave in composite materials, nonlinear waves. Each of the three areas is described in a simple and understandable form, focusing on the many perspectives of the links among the three. All of the techniques and procedures are described here in the clearest and most open form, enabling the reader to quickly learn and use them when faced with the new and more advanced problems that are proposed in this book. By combining these new scientific concepts into a unitary model and enlightening readers on this pioneering field of research, readers will hopefully be inspired to explore the more advanced aspects of this promising scientific direction. The application of wavelet analysis to nanomaterials and waves in nanocomposites can be very appealing to both specialists working on theoretical developments in wavelets as well as specialists applying these methods and experiments in the mechanics of materials. Contents: Wavelet Analysis Materials with Micro- or Nanostructure Waves in Materials Simple and Solitary Waves in Materials Solitary Waves and Elastic Waves Readership: Advanced undergraduate and graduate students as well as experts in mathematical modeling, engineering mechanics and mechanics, physics; specialists in wavelet and wave analysis as tools for mathematical modeling. “… this original book offers three facets of great interest. The first one presents a useful condensed resume on wavelets for nonspecialists. The second produces a view of waves that is also original in exhibiting the specific role played by special functions such as Chebyshev-Hermite functions. The third puts forward the notion of elastic wavelets, an approach that considerably extends the class of analysable initial pulses as recorded in mechanical experiments … this book may be of high interest to many scientists in modern materials sciences, applied mathematicians and theoretical mechanicians, and all those interested in the dynamical analysis of real materials endowed with a microstructure.” Zentralblatt MATHI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
