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**Ph. D. – **Mechanical Engineering, December 2007 from IIT Kharagpur, India**M. Tech. – **Mechanical Engineering, May 2000 from NIT Durgapur, India**B. E. – **Mechanical Engineering, May 1998 from NIT Durgapur, India

**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

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

- 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)** - 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)** - 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

**SOME RECENT JOURNAL PUBLICATIONS**

**Khan, Debashis**and Biswas, K. (2006) Circular Arc Crack under Dynamic Load: A Generalized Approach for Energy Release Rate,**International Journal of Facture**, Vol. 141, pp. 27-35. Journal impact factor:**1.566 (2014)****Khan, Debashis**and Biswas, K. (2007) A New Conservation Integral for Circular Arc Crack under Multiple Loads,**Engineering Facture Mechanics**, Vol. 74, pp. 2375 - 2394. Journal impact factor:**1.767 (2014)**; (5-year impact factor: 2.012, 2014)**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:**2.017 (2014)****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:**0.842 (2014)****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:**0.842 (2014)****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:**2.017 (2014)**- Shah, S., Panda, S. K. and
**Khan****, Debashis**(2016) Weibull Analysis of H-451 Nuclear-Grade Graphite,**Procedia Engineering,**Vol 144, pp. 366- 373, SCImago Journal Rank: 0.274 (2014) - 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:**0.379 (2014)**; (5-year impact factor; 0.45, 2014) **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:**1.324 (2017)**- Shah, S., Panda, S. K. and
**Khan****, Debashis**(2017) Analytical Solution for a Flexural Bimodulus Beam,**Emerging Materials Research,**Vol. 6, No. 2, pp. 1-30, Journal impact factor:**0.313 (2017)** - 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. - 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:**2.175 (2017)** - 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**(Accepted)

**CONFERENCE PAPERS**

**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.**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.**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.**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.**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.**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**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**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- 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. - 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 - 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. - 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 - 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. - 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. - 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 - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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 - 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.

**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.

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

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

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

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

**Mr. Awani Bhushan (Thesis Submitted, January 2019)**

A Study on Weibull Statistical Design Criterion for Nuclear Graphite Components

**Mr. Md. Intaf Alam (Ongoing)****Mr. Hemant Kumar (Ongoing)**

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