Associate Professor, February 2016 – till date
Mechanical Engineering Department
Indian Institute of Technology (BHU) Varanasi
Varanasi, Uttar Pradesh 221005
 
Assistant Professor (May, 2007 – February, 2016)
Mechanical Engineering Department
Indian Institute of Technology (BHU) Varanasi
Varanasi, Uttar Pradesh 221005
 
Senior Design Engineer (2000 - 2003)
Tratec Engineers Pvt. Limited
Gurgaon, Haryana, India
 

1. Visiting Research Scientist at University of North Texas, USA, July – October, 2013
2. Visiting Researcher at University of Groningen, The Netherlands, August – October, 2016

1. Department of Science & Technology (DST), Government of India (Funded: INR 24,00,000) "Development of Optical Fibre Cable Coloring Machine" Principal Investigator: Debashis Khan, Co-Principal Investigator: Prof. Sandeep Kumar (September 2021 to March 2024) (Ongoing)
2. Board of Research on Nuclear Sciences, Department of Atomic Energy, BARC, Mumbai (Funded: INR 68,00,000) “Study of Weibull Statistical Design Criterion for Nuclear Graphite Components” Principal Investigator: S. K. Panda, Co-Principal Investigator: Debashis Khan and Koushik Chattopadhaya (Mach 2012 to October 2015) (Completed)
3. U. P. Jal Vidyut Nigam Limited, Lucknow, India (Funded: INR 3,20,226/-) “Study of Cracks in L- shaped Support of Spider Arms in Generator Rotors of Machine no 1 & 3 of Obra Hydel Power Station, Obra " Principal Consultant: Debashis Khan, Co-Principal Consultant: S. K. Panda (August – October, 2012) (Completed)
4. Northern Coalfield Limited, Singrauli, India, (Funded: INR 1, 50, 000/-) “A report on the Possible Cause of Failure of the Bajrang Dragline at the Nigahi Project Site” PI: S. K. Sinha, Co-PI: Debashis Khan and A. K. Agrawal (December – February, 2013) (Completed)

1. Engineering Mechanics
2. Strength of Materials
3. Mechanics of Deformable Solids
4. Theory of Machines and Design
5. Fracture Mechanics
6. Mathematical Methods and Optimization
7. Finite Element Method
8. Theory of Elasticity

SOME RECENT JOURNAL PUBLICATIONS

1. Khan, Debashis and Biswas, K. (2006) Circular Arc Crack under Dynamic Load: A Generalized Approach for Energy Release Rate, International Journal of Fracture, Vol. 141, pp. 27-35. Journal impact factor: 2.635 (2021); (5-year impact factor: 3.178, 2020)
2. Khan, Debashis and Biswas, K. (2007) A New Conservation Integral for Circular Arc Crack under Multiple Loads, Engineering Fracture Mechanics, Vol. 74, pp. 2375 - 2394. Journal impact factor: 4.989 (2022); (5-year impact factor: 3.433, 2019)
3. Khan, Debashis and Biswas, K. (2009) Path independent integral  for circular arc crack: FEM-investigation under mechanical and thermal loads, Finite Elements in Analysis & Design, Vol. 45, pp. 369-376. Journal impact factor: 2.972 (2021)
4. Khan, Debashis and Biswas, K. (2010) On the Evolution of Path Independent Integral  for Circular Arc Crack, Mechanics Based Design of Structures and Machines, Vol 38(3), pp. 300 – 327. Journal impact factor: 6.54 (2021)
5. Khan, Debashis, Bhushan, A, Panda, S. K. and Biswas, K. (2013) Assessment of Structural Integrity under Dynamic Loading using Path Independent Integral , Mechanics Based Design of Structures and Machines Vol. 41 (4), pp. 434-451. Journal impact factor: 6.54 (2021)
6. Khan, Debashis, Bhushan, A., Panda, S. K. and Biswas, K. (2013) Elastic-plastic dynamic fracture analysis for stationary curve crack, Finite Elements in Analysis and Design Vol. 73, pp. 55-64. Journal impact factor: 2.972 (2021)
7. Shah, S., Panda, S. K. and Khan, Debashis (2016) Weibull Analysis of H-451 Nuclear-Grade Graphite, Procedia Engineering, Vol 144, pp. 366- 373, Journal impact factor: 1.88 (2021)
8. Bhushan, Awani, Panda, S. K., Khan, Debashis, Ojha Abhinab, Chattopadhyay, K., Kushwaha H. S. and Khan, I. A. (2016) Weibull Effective Volumes, Surfaces and Strength Scaling for Cylindrical Flexure Specimens having Bi-modularity, ASTM International - Journal of Testing and Evaluation, Vol. 44, No. 5, pp. 1978-1997. Journal impact factor: 1.333 (2022); (5-year impact factor; 1.162, 2020)
9. Khan, Debashis, Singh, Shushant, and Needleman, A. (2017) Finite Deformation Analysis of Crack Tip Fields in Plastically Compressible Hardening-Softening-Hardening Solids, Acta Mechanica Sinica, Vol. 33, No. 1, pp. 148-158. Journal impact factor: 2.910 (2021); (5-year impact factor: 2.592, 2021)
10. Shah, S., Panda, S. K. and Khan, Debashis (2017) Analytical Solution for a Flexural Bimodulus Beam, Emerging Materials Research, Vol. 6, No. 2, pp. 396-403, Journal impact factor: 1.795 (2021)
11. Singh, Shushant and Khan, Debashis (2018) Quasi-statically growing crack tip fields in plastically compressible hardening-softening-hardening solid, International Journal of Structural Integrity, Vol. 9, No. 4, pp. 532 – 547. Journal impact factor: 2.7 (2022)  
12. Singh, Shushant and Khan, Debashis (2018) On fatigue crack growth in plastically compressible hardening and hardening-softening-hardening solids using crack tip blunting, International Journal of Fracture, Vol. 213, No. 2, pp. 139-155, Journal impact factor: 2.635 (2021); (5-year impact factor: 3.178, 2020)
13. Alam, I., Khan, Debashis, Mittal, Y and Kumar, S. (2019) Crack tip shape effect on stress strain fields in plastically compressible solid, IOP Conf. Series: Material Science and Engineering, 629 (2019) 012035, (DOI:10.1088/1757-899X/629/1/012035), Journal impact factor: 0.53 (2019)
14. Alam, I., Khan, Debashis, Mittal, Y and Kumar, S. (2019) Effect of crack tip shape on near tip deformation and fields in plastically compressible solid, Journal of the Brazilian Society of Mechanical Sciences and Engineering (BMSE), Vol. 41, No. 10, Article. 441, (DOI: 10.1007/s40430-019-1956-8), Journal impact factor: 2.361 (2021)
15. Mittal, Yash, Singh, Shushant and Khan, Debashis (2020) A Numerical Study of the Effects of Overload on Fatigue Crack Growth in Plastically Compressible Hardening and Hardening-Softening-Hardening Solids, Mechanics Based Design of Structures and Machines, Vol 50 (7), pp. 2449-2470. Journal impact factor: 6.54 (2021)
16. Mittal, Y., Khan, Debashis, Pandey, S. and Gupta G. C. (2020) Fatigue Crack Growth in Plastically Compressible Solids: Role of Negative Stress Ratio, Plastic Compressibility and Strain Softening, Journal of Solid Mechanics, Vol. 12, No. 4, pp. 902 – 911, (DOI: 10.22034/JSM.2020.1899251.1587), Journal impact factor: 0.64 (2020)
17. Pandey, S., Khan, Debashis, and Alam, I. (2021) Distribution of Crack-Tip Stresses during a Fatigue Loading with Overload Event: Role of Initial Crack-Tip Shape, Plastic Compressibility and Material Softening, Journal of Theoretical and Applied Mechanics, Vol. 59, No. 2, pp. 239 – 250, (https://doi.org/10.15632/jtam-pl/133177), Journal impact factor: 0.927 (2020)
18. Bandil, P., Khan, Debashis, Shah, P., Kaul, S. and Goswami, R. (2021) Numerical Simulation of Void Growth in front of a Blunting Crack-Tip in Plastically Compressible Solids, Journal of the Brazilian Society of Mechanical Sciences and Engineering (BMSE), Vol. 43, No. 3, Article 152, (DOI: 10.1007/s40430-021-02855-3), Journal impact factor: 2.361 (2021)
19. Singh, Shushant and Khan, Debashis (2021) Effect of crack tip radius on fatigue crack growth and near tip fields in plastically compressible solids, Defence Science Journal, Vol. 71, No. 2, pp. 248 – 255, DOI : 10.14429/dsj.71.15983, Journal impact factor: 0.730 (2019)
20. Alam, I., Khan, Debashis, Pandey, S and Kumar, S. (2022) Role of Initial Crack Tip Shape, Plastic Compressibility and Strain Softening on Near-Tip Stress-Strain State in Fatigue Cracks during Simulation of a Finite Deformation based Elastic-Viscoplastic Constitutive Model, MATERIALS SCIENCE (MEDŽIAGOTYRA), Vol. 28, No. 1, pp. 120 – 125, (https://doi.org/10.5755/j02.ms.28263), Journal impact factor: 1.0 (2022)
21. Srivastav, C., Kapoor, R and Khan, Debashis (2022) Fatigue Behaviour of Dental Implant using Finite Element Method, Materials Today: Proceedings, Vol. 56, No. 3, pp. 1143-1150.
22. Khandelwal, S., Keshri, S. and Khan, Debashis (2022) Influence of Various Material Parameters on Void Growth in Amorphous Glassy Polymers, Materials Today: Proceedings, Vol. 56, No. 3, pp. 1224-1233.
23. Joshi S. K., Singh, S., Khan, Debashis and Saxena, K. K. (2022) Design and Analysis of Crack-Tip Fields in Plastically Compressible Hardening Solids under Cyclic Loading, International Journal on Interactive Design and Manufacturing (IJIDeM), DOI: 10.1007/s12008-022-00934-w, Journal Impact Factor: 2.1 (2022)
24. Rajput, A., Shedbale, A. and Khan, Debashis (2022) Numerical Simulation of Shear Behavior of Echelon Rock Joint using Localizing Gradient Damage Model, Journal of Micromechanics and Molecular Physics. Vol. 07, No. 03n04, pp. 225-235,  https://doi.org/10.1142/S2424913022410077
25. Ashwary Sheel Wali, Sandeep Kumar and Debashis Khan (2022) A Review on Recent Development and Application of Radiation Curing, Materials Today: Proceedings, Vol. 82, pp. 68-74,  https://doi.org/10.1016/j.matpr.2022.11.342
26. Narayan., Khan, Debashis and Chakraborty, S. (2023) Axisymmetric Model for Taylor Impact Test and Estimation of Metal Plasticity using Non-Linear Deformation Profile, Journal of the Brazilian Society of Mechanical Sciences and Engineering (BMSE), Vol. 45, Article 128, https://doi.org/10.1007/s40430-023-04059-3, Journal Impact Factor: 2.361 (2021)
27. Srivastav, C., Anurag N S., Pandey A. K., Prasad N. K. and Khan, Debashis (2023) Design, Preparation and Study of Microstructure, Phase Evolution and Thermal Stability of Ti-Co_0.35-Cr_0.35-Nb-Zr Nanocrystalline HEA for Biomedical Applications, Materials Today Communications, Vol. 35, pp. 105557, https://doi.org/10.1016/j.mtcomm.2023.105557, Journal impact factor: 3.662 (2021).
28. Kumar, H., Manna, R. and Khan, Debashis  (2023) Evaluation of Johnson-Cook Material Model Parameters for Fe-30Mn-9Al-0.8C Low-Density Steel in Metal Forming Applications, Journal of Materials Science, Vol. 58, pp. 8118-8129, https://doi.org/10.1007/s10853-023-08485-5, Journal Impact Factor: 4.682 (2021)
29. Rajput, A., Shedbale, A. and Khan, Debashis (2023) A Robust Staggered Localizing Gradient Enhanced Isotropic Damage Model for Failure Prediction in Heterogeneous Materials, Engineering Fracture Mechanics, Vol. 293, Article 109708, https://doi.org/10.1016/j.engfracmech.2023.109708, Journal impact factor: 5.4 (2022); (5-year impact factor: 3.433, 2019)
30. Srivastav, C. and Khan, Debashis (2023) Constitutive Models Based on Titanium and Its Alloys for Studying Deformation and Stresses in Dental Prosthesis: A Comprehensive Review, Proceedings of the Institute of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 238, No. 11, Journal impact factor: 2.0 (2022); (5-year impact factor: 2.0, 2022)
31. Kumar, H., Tiwari, M., Manna, R. and Khan, Debashis (2024) A Modified Johnson-Cook Model to Determine Plastic Flow Behavior of Fe-30Mn-9Al-0.8C Low-Density Steel during Warm Multiaxial Forging, Materials Today Communications, Vol. 38, pp. 108270, Journal impact factor: 3.662 (2021). 
32. Srivastav, C., Gangwar, M., Prasad N. K. and Khan, Debashis (2024) Structural, Mechanical and Biocompatible Evaluation of Nanocrystalline Ti-Nb-Ta-Cr-Co_0.2 HEA for Implant Applications, Materials Today Communications, Vol. 39, pp. 109355, Journal impact factor: 3.662 (2021).

CONFERENCE PAPERS

1. Khan, Debashis and Biswas, K. (2006) An Elastic-Plastic Analysis for a Circular Arc Crack, Proceedings of the International conference on Advances in Materials Processing and Characterization, ed. Karunamoorthy, L et.al., Anna University, Chennai, India. Vol. II, pp. 1068-1074.
2. Khan, Debashis and Biswas, K. (2006) Crack Tip Plastic Zone Characteristics for HighDensity P/M Steels, Proceedings of the 51^st Congress of the Indian Society of Theoretical and Applied Mechanics (An International Meet) ed. Pradhan, B, College of Engineering, Andhra University, Visakhapatnam, India. pp. 191-197.
3. Khan, Debashis and Biswas, K. (2007) Path Independent Integral for Circular Arc Crack: Numerical Investigations under Thermo-Elastic Loading, Proceedings of the International Conference on Theoretical, Applied, Computational and Experimental Mechanics, December 27-29, 2007, IIT Kharagpur, India. pp.
4. Khan, Debashis and Biswas, K. (2008) Path Independent Integral ​  for Circular Arc Crack: A Finite Element Analysis, Proceedings of the Interquadrennial Conference of the International Congress on Fracture (IQCICF), August 3-7, 2008, IISC, Bangalore, India. pp. 111-113.
5. Khan, Debashis and Varma, Priyank. (2009) On the Elastic-Plastic Analysis of Metal Matrix Laminated Composite Plate, Proceedings of the 54^th Congress of the Indian Society of Theoretical and Applied Mechanics (An International Meet) ed. Prof. P. V. S. N. Murthy, Netaji Subhas Institute of Technology, New Delhi, India. pp. 42 - 47.
6. Khan, Debashis, Nambur, Gayathri and K. Biswas (2011) Dynamic Structural Integrity Assessment using Path Independent Integral ​ , Proceedings of the 2^nd International Conference on Current Trends in Technology (NUiCONE 2011), Institute of Technology, Nirma University, Ahmedabad – 382 481, 08-10 December, 2011
7. Khan, Debashis, Bhushan, A. (2012) Elastic-Plastic Dynamic Fracture Analysis for Stationary Curve Crack, Proceedings of the third Asian Conference on Mechanics of Functional Materials and Structures (ACMFMS 2012), IIT Delhi, India, December 5-8, 2012
8. Khan, Debashis (2012) The Effect of Dynamic Loading on Structural Integrity Assessment, Proceedings of the Workshop on Recent Developments in Design and Construction Techniques of Brick Masonry Buildings, Department of Civil Engineering, Institute of Technology, Banaras Hindu University, Varanasi, 3 – 4  March, 2012
9. Chug, Rahul and Khan, Debashis. (2012) Atomistic Simulation to Study Cracking Behavior in Single Crystal Copper, Proceedings of the 57^th Congress of the Indian Society of Theoretical and Applied Mechanics (An International Meet), December 17 – 20, 2012, Defence Institute of Advanced Studies, Pune, India. pp. 189-194.
10. Bhushan, Awani, Khan, Debashis,  Panda, S. K. and Chattopadhyay, K. (2014) On the Shifting of Neutral Axis for Nuclear Grade Graphite Specimens, Proceedings of the International Conference on Multifunctional Materials, Structures and Applications  (ICMMSA), December 22-24, 2014, MNNIT, Allahabad, India. pp. 96-98
11. Singh, Shushant, Khan, Debashis and Panda, S. K. (2014) Crack Tip Blunting in Plastically Compressible Hardening Solids, Proceedings of the International Conference on Multifunctional Materials, Structures and Applications  (ICMMSA), December 22-24, 2014, MNNIT, Allahabad, India. pp. 89-92.
12. Bhushan, Awani, Khan, Debashis and Panda, S. K. (2014) On the Analysis of J-integral for Nuclear Grade Graphite Specimen, Proceedings of the International Conference on Theoretical, Applied, Computational and Experimental Mechanics (ICTACEM), December 29-31, 2014, IIT Kharagpur, India. pp. 186-187
13. Singh, Shushant, Khan, Debashis and Panda, S. K. (2014) Crack Tip Blunting in Plastically Compressible Hardening-Softening-Hardening Solids, Proceedings of the International Conference on Theoretical, Applied, Computational and Experimental Mechanics (ICTACEM), December 29-31, 2014, IIT Kharagpur, India. pp. 49-50.
14. Bhushan, Awani, Khan, Debashis, Panda, S. K. and K. Chattopadhyay (2015) Fracture Toughness Evaluation for Nuclear Grade Graphite, Proceedings of the International Conference on Multifunctional Materials for Future Applications (ICMFA 2015), October 27-29, 2015, IIT (BHU) Varanasi, India. pp.
15. Singh, Shushant, Khan, Debashis and Panda, S. K. (2015) Effect of T- Stress on Crack Tip Fields in Plastically Compressible Rate Dependent Elastic-Viscoplastic Solids, Proceedings of the International Conference on Multifunctional Materials for Future Applications (ICMFA 2015), October 27-29, 2015, IIT (BHU) Varanasi, India.pp 76-77
16. Bhushan, Awani, Khan, Debashis, Singh, S. K. and Panda, S. K. (2015) Finite Element Evaluation of J-integral in 3D  for Nuclear Grade Graphite Using COMSOL-Multiphysics, Proceedings of COMSOL Conference-2015, October 29-30, 2015, Pune, India.
17. Shah, S., Panda, S. K. and Khan, Debashis (2015) Analytical solution for a flexural bimodulus beam, Proceedings of the International Conference on Multifunctional Materials for Future Applications (ICMFA 2015), October 27-29, 2015, IIT (BHU) Varanasi, India. pp.
18. Shah, S., Panda, S. K. and Khan, Debashis (2015) Weibull Analysis of H-451 Nuclear-Grade Graphite. Proceedings of the International Conference on Vibration Problems (ICOVP-2015) December 14-17, 2015, IIT Guhawati, India. pp.
19. Shah, S., Panda, S. K. and Khan, Debashis (2016) Thermo-Elastic Analysis of Bimodulus Beam. Proceedings of DAE-BRNS Twentieth Symposium & Workshop on Thermal Analysis (THERMANS-2016), January 18-20, 2016, IIT (BHU) Varanasi, India. pp.  
20. Singh, Shushant, Khan, Debashis and Panda, S. K. (2016) A Numerical Study of Crack Tip Hydrostatic Stress Fields in Plastically Compressible Hardening Solids, Proceedings of the International Conference on Advances in Functional Materials (AFM 2016), August 08-11, 2016, ICC, Jeju Island, South Korea.
21. Singh, Shushant and Khan, Debashis (2017) Finite Deformation Analysis of Crack Tip Fields in Plastically Compressible Hardening Solids under Cyclic Loading, Proceedings of the International Conference on Vibration Problems (ICOVP 2017), November 29^th –December 02^nd , 2017, IIT Guwahati, India.
22. Singh, Shushant and Khan, Debashis (2017) On fatigue Crack Growth in Plastically Compressible Hardening Solids by Crack Tip Blunting, Proceedings of the International Conference on Theoretical, Applied, Computational and Experimental Mechanics (ICTACEM), December 29-31, 2014, IIT Kharagpur, India. pp.
23. Mittal, Y., Kartheek, P. and Khan, Debashis (2018) Effect of Single Overload on Fatigue Crack Growth in Plastically Compressible Hardening Solid, Proceedings of the 63^rd Congress of the Indian Society of Theoretical and Applied Mechanics (An International Conference), December 20-23, 2018, Dayanand Sagar University, Bangalore, India. pp.
24. Alam, I., Khan, Debashis and Kumar, S. (2019) Effect of Crack Tip Shape on the Deformation and Near Tip Fields in Plastically Compressible Solid, INCAM 2019 Conference, 3-5 July 2019, IISc Bangalore
25. Alam, I., Khan, Debashis, Mittal, Y and Kumar, S. (2019) Crack Tip Shape Effect on Stree Strain Fields in Plastically Compressible Solid, The 2^nd International Conference on Material Strength and Applied Mechanics (MSAM 2019), May 27-30, 2019, Kiev, Ukraine, pp.
26. Alam, I., Khan, Debashis and Kumar, S. (2019) Effect of Crack Tip Shape on Fatigue Crack Growth in Plastically Compressible Hardening Solid, Proceedings of the 64^th Congress of the Indian Society of Theoretical and Applied Mechanics (An International Conference), December 9 – 12, 2019, IIT Bhubaneswar, India. pp.
27. Malik, Ankit and Khan, Debashis (2019) Void Growth in a Class of Rubber Toughened Amorphous Glassy Polymers, Proceedings of the 64^th Congress of the Indian Society of Theoretical and Applied Mechanics (An International Conference), December 9 – 12, 2019,  IIT Bhubaneswar, India. pp.
28. Singh, Shushant and Khan, Debashis (2019) Effect of Crack Tip Radius on Fatigue Crack Growth in Plastically Compressible Hardening Solid, Proceedings of the 64^th Congress of the Indian Society of Theoretical and Applied Mechanics (An International Conference), December 9 – 12, 2019, IIT Bhubaneswar, India. pp.
29. Vivek Krishna, Ramraj Singh, Uditanshu Shukla, Vikas Bansal, Navneet Kumar Pandey and Debashis Khan (2020) Effect of Stress Ratio on Fatigue Crack Propagation in Plastically Compressible Solids: A Review, International Conference on Intelligent Control and Computation for Smart Energy and Mechatronic Systems (ICCSEMS-2020), September 25 – 26, 2020, JSS Academy of Technical Education, Noida, India
30. Prakhar Bandil, Rahul Goswami, ShivanshKaul, Pakshal Shah and Debashis Khan (2020), Numerical simulation of void growth ahead of a moving crack tip in plastically compressible solids, 1^st Online International Conference on Recent Advances in Computational and Experimental Mechanics, September 4-6, 2020, IIT Kharagpur, India
31. Shivam Keshri, K. Shreyas Kishore and Debashis Khan (2022), Influence of various material parameters on void growth in Amorphous glassy polymers, 1st International Conference on Advances in Mechanical Engineering and Material Science (ICAMEMS-22), January 22-24, 2022, VIT-AP University, India
32. Chitrance Kumar Srivastav, Rajat Kapoor and Debashis Khan (2022), Analysis of Fatigue Behaviour of Dental Implant using Finite Element Method, 1st International Conference on Advances in Mechanical Engineering and Material Science (ICAMEMS-22), January 22-24, 2022, VIT-AP University, India
33. Chitrance Kumar Srivastav and Debashis Khan (2022), Analysis of Fatigue Crack Growth Behaviour of Titanium Foams for Bioimplant Applications, International Conference on Advanced Functional Materials: Future Perspectives (AFMFP-2022), August 6-8, 2022, NIT, Jalandhar, India
34. Ashwary Sheel Wali, Sandeep Kumar and Debashis Khan (2022), A review on Recent Development and Application of Radiation Curing, 2nd International Conference on Future Trends in Materials and Mechanical Engineering (ICFTMME-2022), August 19-20, 2022, SRM Institute of Science and Technology, Delhi NCR, India
35. Rajput, A., Shedbale, A. and Khan, Debashis (2022) Nirumerical Simulation of Mixed-Mode Fracture in Rock Joint, 8th International Congress on Computational Mechanics and Simulation (ICCMS 2022), December 10-12, 2022, IIT Indore, INDIA
36. Chitrance Kumar Srivastav, Mayank Singh, Anurag Kumar Pandey, Debashis Khan and Nand Kishore Prasad (2023), Design and study of phase evolution, mechanical and tribological properties of TiNbMoCrCo0.2 HEA for biomedical applications, 12th International Conference on Tribology (ICT), October 5-7, 2023, NIT, Srinagar, India
37. Kumar, H., Manna, R. and Khan, Debashis  (2023) Improving mechanical properties of Fe-20Mn-10Al-1C low-density steel by multiaxial forging, International Conference on Metallurgical Engineering and Centenary celebration (METCENT 2023), October 26-28, 2023, IIT (BHU) Varanasi, India
     

Mathematical Theory of Subdivision: Finite Element and Wavelet Methods (1st Edition) by Sandeep Kumar, Ashish Pathak, Debashis Khan

Publisher: Chapman and Hall/CRC 
Published on July 12, 2019 
ISBN: 9781138051584

Summary of the Book:
This book provides good coverage of the powerful numerical techniques namely, finite element and wavelets, for the solution of partial differential equation to the scientists and engineers with a modest mathematical background. The objective of the book is to provide the necessary mathematical foundation for the advanced level applications of these numerical techniques. The book begins with the description of the steps involved in finite element and wavelets-Galerkin methods. The knowledge of Hilbert and Sobolev spaces is needed to understand the theory of finite element and wavelet-based methods. Therefore, an overview of essential content such as vector spaces, norm, inner product, linear operators, spectral theory, dual space, and distribution theory, etc. with relevant theorems are presented in a coherent and accessible manner. For the graduate students and researchers with diverse educational background, the authors have focused on the applications of numerical techniques which are developed in the last few decades. This includes the wavelet-Galerkin method, lifting scheme, and error estimation technique, etc.
Features:
• Computer programs in Mathematica/Matlab are incorporated for easy understanding of wavelets.
• Presents a range of workout examples for better comprehension of spaces and operators.
• Algorithms are presented to facilitate computer programming.
• Contains the error estimation techniques necessary for adaptive finite element method.
This book is structured to transform in step by step manner the students without any knowledge of finite element, wavelet and functional analysis to the students of strong theoretical understanding who will be ready to take many challenging research problems in this area.

1. Ms. Soumia Shah (Awarded, May 2018)

           Influence of Bimodulus Polarity and Thermo-Elastic Anisotropy on Interface Mixed Mode Fracture in Laminated Structures

2. Mr. Shushant Kumar Singh (Awarded, January 2019)

           Finite Deformation Analysis of Crack Tip Fields in Plastically Compressible Hardening-Softening-Hardening Solids

3. Mr. Awani Bhushan (Awarded, November 2019)

           Study of Weibull Design Criterion to Characterize the Fracture Behavior of Bimodular Nuclear Graphite Components

4. Mr. Hemant Kumar (Pre Ph. D. Seminar Completed, Thesis writing)
5. Mr. Chitrance Kumar Srivastava (Thesis Submitted)
6. Mr. Satyabrat Pandey (Ongoing)
7. Mr. Anshuman Rajput (Ongoing)
8. Mr. Vatsalya Raghuvanshi (Ongoing)

• Member, American Society of Mechanical Engineers (ASME)
• Life Member, Indian Society for Theoretical and Applied Mechanics (ISTAM)
• Fellow, The Institution of Engineers (FIE), India