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Computational Structural Mechanics: Static and Dynamic Behaviors provides a cutting-edge treatment of functionally graded materials and the computational methods and solutions of FG static and vibration problems of plates. Using the Rayleigh-Ritz method, static and dynamic problems related to behavior of FG rectangular, Levy, elliptic, skew and annular plates are discussed in detail. A thorough review of the latest research results, computational methods and applications of FG technology make this an essential resource for researchers in academia and industry.
- Explains application-oriented treatments of the functionally graded materials used in industry
- Addresses relevant algorithms and key computational techniques
- Provides numerical solutions of static and vibration problems associated with functionally graded beams and plates of different geometries
Researchers and postgraduate students in materials and mechanics of materials, and designers of thermal resistant technology for nuclear power generation, aerospace, automotive and structural engineering
1. Overview of functionally graded materials
2. Rayleigh-Ritz Method
3. DQ and GDQ Methods
4. Finite Element Method
5. Static analysis of FG beams
6. Vibration of FG beams
7. Static Analysis of FG Plates
8. Vibration of thick rectangular Plates
9. Vibration of FG skew plates
10. Vibration of FG Annular plates
11. Vibration of FG plates on elastic foundations
- No. of pages:
- © Academic Press 2018
- 13th September 2018
- Academic Press
- eBook ISBN:
- Paperback ISBN:
Prof. S. Chakraverty has 30 years of experience as a researcher and teacher. Presently he is working in the Department of Mathematics (Applied Mathematics Group), National Institute of Technology Rourkela, Odisha, as Senior (Higher Administrative Grade) Professor. Prior to this, he was with CSIR—Central Building Research Institute, Roorkee, India. After completing Graduation from St. Columba’s College (Ranchi University), his career started from the then University of Roorkee (currently Indian Institute of Technology Roorkee) and completed M. Sc. (Mathematics) and M. Phil. (Computer Applications) from there securing the first positions in the university. Dr. Chakraverty received his Ph.D. from IIT Roorkee in 1992. Thereafter, he completed his postdoctoral research at the Institute of Sound and Vibration Research (ISVR), University of Southampton, England and at the Faculty of Engineering and Computer Science, Concordia University, Canada. He was also a visiting professor at Concordia and McGill universities, Canada, during 1997–1999 and a visiting professor of the University of Johannesburg, South Africa, during 2011–2014. So far, he has authored/co-authored 21 books, published 374 research papers in journals and conferences; another book is in press and he is now writing two books. He is in the editorial boards of various international journals, book series and conferences. Prof. Chakraverty is the Chief Editor of International Journal of Fuzzy Computation and Modelling (IJFCM), Inderscience Publishers, Switzerland (http://www.inderscience.com/ijfcm), Associate Editor of the “Computational Methods in Structural Engineering” section of Frontiers in Built Environment and an editorial board member of Springer Nature Applied Sciences, IGI Research Insights Books, Springer Book Series of Modeling and Optimization in Science and Technologies, Coupled Systems Mechanics (Techno Press), Curved and Layered Structures (De Gruyter), Journal of Composites Science (MDPI), Engineering Research Express (IOP) and Applications and Applied Mathematics: An International Journal. He is also the reviewer of around 50 national and international journals of repute, and he was the president of the Section of Mathematical Sciences (including Statistics) of Indian Science Congress (2015-2016) and was the vice president of Orissa Mathematical Society (2011-2013). Prof. Chakraverty is a recipient of prestigious awards such as Indian National Science Academy (INSA) nomination under International Collaboration/Bilateral Exchange Program (with the Czech Republic), Platinum Jubilee ISCA Lecture Award (2014), CSIR Young Scientist Award (1997), BOYSCAST Fellow (DST), UCOST Young Scientist Award (2007, 2008), Golden Jubilee Director’s Award (CBRI; 2001), INSA International Bilateral Exchange Award ([2010-11 (selected but could not undertake), 2015 (selected)], and Roorkee University gold medals (1987, 1988) for first positions in M.Sc. and M. Phil. (Comp. Appl.). He has so far guided 18 Ph.D. students and is guiding 9 students currently. Prof. Chakraverty has undertaken around 16 research projects as principle investigator funded by international and national agencies, with a total worth of about Rs.1.5 crores. A good number of international and national conferences, workshops, and training programs have also been organized by him. His present research area includes differential equations (ordinary, partial, and fractional), numerical analysis and computational methods, structural dynamics (FGM, Nano) and fluid dynamics, mathematical and uncertainty Modeling, soft computing and machine intelligence (artificial neural network, fuzzy, interval and affine computations).
Full Professor, Department of Mathematics, Applied Mathematics Group, National Institute of Technology Rourkela, Rourkela, Odisha, India
Karan Kumar Pradhan is the Assistant Professor (NPIU, TEQIP-III) in Department of Basic Science, Parala Maharaja Engineering College, Berhampur (Odisha). Formerly, he was the Senior Research Fellow, Department of Mathematics, National Institute of Technology, Rourkela, India and also the recipient of SERB National Post-Doctoral Fellowship. KK Pradhan’s research interests are numerical modeling, vibration problems, and structural members.
Senior Research Fellow, Dept of Mathematics, National Institute of Technology, Rourkela, India
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