Elastic Wave Propagation in Structures and Materials

Elastic Wave Propagation in Structures and Materials initiates with a brief introduction to wave propagation, different wave equations, integral transforms including fundamentals of Fourier Transform, Wavelet Transform, Laplace Transform and their numerical implementation. Concept of spectral analysis and procedure to compute the wave parameters, wave propagation in 1-D isotropic waveguides, wave dispersion in 2-D waveguides is explained. Wave propagation in different media such as laminated composites, functionally graded structures, granular soils including non-local elasticity models is addressed. The entire book is written in modular form and analysis is performed in frequency domain. Features: - Brings out idea of wave dispersion and its utility in the dynamic responses. - Introduces concepts as Negative Group Speeds, Einstein's Causality and escape frequencies using solid mathematical framework. - Discusses the propagation of waves in materials such as laminated composites and functionally graded materials. - Proposes spectral finite element as analysis tool for wave propagation. - Each concept/chapter supported by homework problems and MATLAB/FORTRAN codes. This book aims at Senior Undergraduates and Advanced Graduates in all streams of engineering especially Mechanical and Aerospace Engineering.

Prof. Gopalakrishnan received his Master's Degree in Engineering Mechanics from Indian Institute of Technology, Madras, Chennai and Ph.D from School of Aeronautics and Astronautics from Purdue University, USA in the year December 1992. After his Ph.D., he was a Postdoctoral Fellow in the department of Mechanical Engineering at Georgia Institute of Technology. In the year November 1997, he joined the Department of Aerospace Engineering at Indian Institute of Science Bangalore, where currently he is a senior Professor. His main areas of interest are Wave Propagation in complex media, Computational Mechanics, Smart Structures, and Structural Health Monitoring. He has publisher 218 refereed international journal publications and has authored 9 textbooks and monographs and has an h-index of 50 in Google scholar. He is in the editorial board of 6 international journals and is the Associate editor for Smart Materials and Structures and Structural Health Monitoring international journals. Prof. Gopalakrishnan is decorated with many awards and honors, which include, International Structural Health Monitoring person of the year awards 2016 instituted by SAGE Publications, Fellow of Indian National Academy of Engineering, Fellow of Indian Academy of Sciences, Associate Fellows AIAA, Distinguished Alumnus Award, Indian Institute of Technology, Madras, Chennai, Satish Dhawan Young Scientist Award by Government of Karnataka, Biren Roy Trust award of Aeronautical society of India, Alumni Award of excellence in research at IISc and the Royal Academy of Engineering, UK Distinguished visiting Fellowship. Recently He was elected Fellow of Institute of Mechanical Engineers, UK in the year 2020.

1. Introduction to Wave Propagation. 2. Introduction to Fourier Transforms. 3. Introduction to Wave Propagation in Structures. 4. Wave Propagation in One Dimensional Isotropic Structural Waveguides. 5. Wave Propagation in Viscoelastic Waveguides. 6. Signal Processing Aspects in Wave Propagation. 7. Wave Propagation in Two Dimensional Isotropic Waveguides. 8. Wave Propagation in Laminated Composite Waveguides. 9. Wave Propagation in Graded Material Waveguides. 10. Wave Propagation in Granular Medium. 11. Wave Propagation in NonLocal One Dimensional Waveguides. 12. Introduction to Spectral Finite Element Formulation.