Subir Das
Designation: Associate
Professor
&
Deputy
Coordinator,
SAP-UGC
Phone: +91-9451141269
e-mail: subir_das08@hotmail.com;
sdas.apm@itbhu.ac.in
Research Areas:
Fracture Mechanics, Mathematical Modelling,
Fractional Calculus, Nonlinear Dynamics,
Biography:
M. Sc.( Applied Mathematics) and Ph. D. (Science) .
Recipient of Griffith Memorial Award, 2000 in Science from University
of Calcutta.
Selected a Member of American Mathematical Society ( AMS ).
Teaching Experience : 18 yrs.
Research Experience : Doctoral: 17 yrs.
Publications:
Paper Publication Details: Total 90
| |
Fracture Mechanics |
| 1. | Moving Griffith Crack at the interface of two dissimilar orthotropic Half-Planes, Engineering Fracture Mechanics, Vol. 54, 523-531 (1996). |
| 2. |
Stress Intensity Factors for a pair of equal parallel interfacial cracks on a layer sandwiched between two dissimilar Half-planes Proceeding of the 10th Mathematical Conference, Bangladesh Mathematical Society, Vol. 89, 59-64 (1997). |
| 3. |
Stress Intensity Factors and Crack Energies for a Cruciform crack in an Orthotropic elastic plane, Bulletin of Calcutta Mathematical Society, Vol. 89, 59-64 (1997). |
| 4. |
Interaction between three Line Cracks in a Sandwiched Orthotropic Layer, International Journal of Applied Mechanics and Engineering, Vol. 3, 249-269 (1997). |
| 5. |
Diffraction of SH-Waves by a Griffith Crack in an infinite Orthotropic medium, Applied Mathematics Letters, Vol. 12, 57-61 (1997). |
| 6. | Stress Intensity Factors for moving interfacial crack between bonded dissimilar fixed orthotropic layers, Computers and Structures, Vol. 69, 459-472 (1998). |
| 7. |
Stress Intensity Factors for an interfacial crack between an Orthotropic Half-plane bonded to a dissimilar Orthotropic layer with a punch, Int. J. Computers and Mathematics with applications, Vol. 35, 27-40 (1998). |
| 8. | A pair of equal collinear interfacial Griffith Cracks, International Journal of Applied Mechanics and Engineering, Vol. 4, 97-112 (1999). |
| 9. |
Stress Intensity Factor around a Griffith Crack in Orthotropic Punched Layer, Indian Journal of Pure and Applied Mathematics, Vol. 30, 1003-1015 (1999). |
| 10. |
Interaction of Elastic Waves by an interfacial Griffith Crack International Journal of Computers and Mathematics with applications, Vol. 38, 151-158 (1999). |
| 11. | Stress Intensity factors for an interfacial Griffith crack in composite media, International Journal of Engineering Science, Vol. 37, 453-475 (1999). |
| 12. | Stress Intensity Factors around two coplanar Griffith Cracks in an Orthotropic layer sandwiched between two identical Orthotropic Half-planes, International Journal of Engineering Science, Vol. 38, 121-133 (2000). |
| 13. | Study of static cruciform crack in an Orthotropic elastic media, International Journal of Computers and Mathematics with applications, Vol. 40, 569-575 (2000). |
| 14. | Diffraction of SH-Waves by collinear Griffith cracks in an infinite transversely Isotropic medium, Canadian Applied Mathematics Quarterly, Vol. 8, 17-26 (2000). |
| 15. | Interaction between Griffith cracks at the interface of elastic media, Korrean Journal of Comput. and Applied Math., Vol. 8, 59-69 (2001). |
| 16. | Three interfacial Griffith cracks between bonded dissimilar elastic media, International Journal of Applied Mechanics and Engineering, Vol. 6,133-149 (2001). |
| . 17. | Stress Intensity Factor around a moving Griffith Crack in a Punched Orthotropic Layer, Mathematical and Computer Modelling, Vol. 33, 957-963 (2001). |
| 18. | On a moving interfacial Griffith crack at the interface of two bonded dissimilar Orthotropic Half-Planes, ZAMM. Z. Angrew. Math. Mech., Vol. 81, 281-287 (2001). |
| 19. | Interaction between line cracks in an Orthotropic Layer, International Journal of Mathematics and Mathematical Sciences, Vol. 29, 31-42(2002). |
| 20. | Impact Response of a Cracked Orthotropic Medium, International Journal of Engineering Science, Vol. 41, 2063-2079 (2003). |
| 21. | A Pair of equal collinear Interfacial Cracks between bonded dissimilar fixed Isotropic Layers, International Journal of Applied Mechanics and Engineering, Vol. 8, 167-175 (2003). |
| 22. | Interaction between Griffith cracks in a sandwiched Orthotropic layer, Applied Mathematics Letters, Vol.16, 609-617 (2003). |
| 23. | Moving Interfacial Griffith cracks between bonded dissimilar Orthotropic Half Planes, Canadian Applied Mathematics Quarterly, Vol.12, 303-322 (2004). |
| 24. |
Interaction of moving Interfacial cracks between bonded dissimilar elastic strips under antiplane shear, International Journal of Pure and Applied Mathematics, Vol.15, 13-24 (2004). |
| 25. |
On Elastodynamical problem of Interfacial Griffith Cracks in Composite Media, International Journal of Engineering Science, Vol. 42, 736-752 (2004). |
| 26. | Pair of Collinear interface cracks between dissimilar fixed Orthotropic layers, International Journal of Computational Civil and Structural Engineering, Vol.1, 65-78 (2005). |
| 27. | Moving Interfacial Griffith Crack between dissimilar Media, Journal of Applied Mathematics, Vol. 2005, 289-299 (2005). |
| 28. | Elastodynamic Response of a Cracked Orthotropic Medium under Impact loading, Computational Materials Science, Vol. 37, 187-192 (2005). |
| 29. | Moving Griffith Crack in an Orthotropic Strip with Punches at boundary faces, International Journal of Mathematics and Mathematical Sciences, Vol. 19, 3157-3167 (2005). |
| 30. | Weight Function for a crack in an Orthotropic medium under Normal Impact loading, International Journal of Applied Mechanics and Engineering, Vol. 11, 915-928 (2006). |
| 31. | Interaction of moving interface collinear Griffith cracks under Antiplane Shear, International Journal of Solids and Structures, Vol. 43, 7880-7890 (2006). |
| 32. | Weight function for a crack in a two-dimensional Orthotropic medium under impact shear loading, International Journal of Fracture, Vol. 142, 331-338 (2006). |
| 33. | A Note on thermo elastic problem of two collinear Griffith cracks in an Orthotropic medium, International Journal of Pure and Applied Mathematics, Vol. 36, 365-374 (2007). |
| 34. | Impact Response of a Cracked Orthotropic Strip International Journal of Computational Civil and Structural Engineering, Vol. 1, 36-46 (2007). |
| 35. | Interaction of three interfacial Griffith cracks between bonded dissimilar orthotropic half planes, International Journal of Solids and Structures, Vol. 44, 5437-5446 (2007). |
| 36. | Symmetric Edge Crack in an Orthotropic strip under normal loading, International Journal of Fracture, Vol.153, 77-84 (2008). |
| 37. | Elastodynamic Response of Cracked Orthotroppic Strip under Impact Loading International Journal of Fracture, Vol.153, 177-184 (2008). |
| 38. | Weight function for an Edge Crack in an infinite Orthotropic strip under normal point force loading - ZAMM. Z. Angrew. Math. Mech., Vol. 90, 271-277 (2010). |
| 39. | Stress Intesity Factor of an edge crack in bonded orthotropic materials, International Journal of Fracture, Vol. 168 117-123 (2011). |
| 40. |
Boundary
integral
equation
formulation
for
coupled thermo-elasticity with three
phase-lags, Mathematics and Mechanics of Solids, Accepted (2011). |
| 41. |
Stress intensity factor of
an edge crack in composite media, International
Journal
of
Fracture, Accepted (2011). |
| 42. |
A two dimensional problem
of Mode-I crack in a type III thermoelastic medium, Mathematics and Mechanics of Solids , Accepted
(2012). |
| |
Mathematical Modelling |
| 43. | Solution of Fractional Vibration Equation by the Variational Iteration Method and Modified Decomposition Method, International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 9, 361-366 (2008). |
| 44. |
Numerical Solution of a Moving Boundary Problem with variable latent heat , International Journal of Heat and Mass Transfer, Vol. 52, 1913-1917 (2008). |
| 45. | A Numerical Solution of the Vibration Equation using Modified Decomposition Method, Journal of Sound and Vibration, Vol. 320, 576-583, (2009) |
| 46. | Analytical Solution of a Fractional Diffusion Equation by Variational Iteration Method, Computers and Mathematics with Applications, Vol. 57, 483-487 (2009). |
| 47. | A Fractional predator-prey Model and its Solution , International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 10, 473-476 (2009). |
| 48. |
Solution of one dimensional moving boundary problem with periodic boundary conditions by Variational Iteration Method, Thermal Sciences, Vol.13, 199-204(2009). |
| 49. | A Note on Fractional Diffusion Equations, Chaos, Solitons & Fractals, Vol. 42, 2074 - 2079 (2009). |
| 50. |
Analytical approach to micro scale bio-film heat transport using homotopy perturbation method, International Journal of Applied Mathematics and Computation, Vol.1, 148-158(2009). |
| 51. | Application of He’s Homotopy Perturbation Method to Diffusion Equation, Zeitschrift für Naturforschung A, Vol. 65a, 53-58 (2010). |
| 52. | An Approximate Analytical Solution of the Fractional Diffusion Equation with Absorbent Term and External Force by Homotopy Perturbation Method , Zeitschrift für Naturforschung A, Vol. 65a, 182-190 (2010). |
| 53. | Application of Homotopy Perturbation Method and Homotopy Analysis Method to Fractional Vibration Equation, Int. J. of Computer Mathematics, Vol. 88, 430-441 (2010). |
| 54. | Peristaltic Flow of Viscoelastic Fluid with Fractional Maxwell Model through a Channel, Applied Mathematics and Computation, Vol. 215, 3645-3654 (2010). |
| 55. | A Note on Fractional Schrodinger Equation, Nonlinear Science, Letter A, Vol. 1, 91-94 (2010). |
| 56. |
Solution of Vibration Equation by Variational Iteration Method and Modified Decomposition Method, International Journal of Applied Mechanics and Engineering, Accepted (2010). |
| 57. | Approximate analytical solutions of time-space fractional diffusion equation by Adomian Decomposition Method and Homotopy Perturbation Method, Communications in Fractional Calculus, Accepted (2011). |
| 58. | Homotopy Analysis Method for Fractional Diffusion Equation with Absorbent Term and External Force, Journal of Nonlinear Systems and Applications, Vol. 1, 141-145 (2010). |
| 59. | Solution of fractional diffusion equation with a moving boundary condition by Variational Iteration Method and Adomian Decomposition Method, Zeitschrift für Naturforschung A, Vol. 65a, 793-799 (2010), |
| 60. |
Analytical approximate solution of diffusion equation of fractional order by Variational Iteration Method, Chaos, Solitons & Fractals, Accepted (2010). |
|
61. |
An approximate analytical solution of the fractional diffusion equation with external force and different type of absorbent term-Revisited, Application and Applied Mathematics, Special Issue No. 1, 101-109 (2010). |
| 62. |
Approximate analytical solutions for fractional space- and time- partial differential equations using homotopy analysis method, Applications and Applied Mathematics Vol. 5, 1641-1659 (2010). |
| 63. |
A Numerical Study for Inward Solidification of a Liquid Contained in Cylindrical and Spherical Vessel, Thermal Sciences, Vol.14, 365-372 (2010). |
| 64. |
Solutions of Nonlinear Second Order Multi-point Boundary Value Problems by Homotopy Perturbation Method, Applications and Applied Mathematics, Vol, 05, 1592 - 1600 (2010). |
| 65. |
Peristaltic
transport
of
a
generalized
Burgers'
fluid:
Application
to
movement
of
chyme
in
the
small
intestine,
Acta
Astronautica,  doi:10.1016/j.actaastro.2010.12.010. |
| 66. | Analytical approximate solutions of space- and time- fractional diffusion equation with a moving boundary condition, Zeitschrift für Naturforschung A, Vol. 66a 281-288 (2011) |
| 67. |
Approximate
approach
to
the
Das
Model
of Fractional
Logistic
Population
Growth,
Applications
and
Applied
Mathematics, Vol. 5,
1702-1708 (2010). |
| 68. |
Solving a multi-order fractional differential equation using Homotopy analysis method, Journal of King Saud University (Science), Vol. 23, 151-155 (2011). |
| 69. |
An Approximate Analytical Solution of One-Dimensional Phase Change Problems in a Finite Domain, Applied Mathematics and Computation, Vol. 217, 6040-6046 (2011). |
| 70. |
Influence of Slip Condition on Peristaltic Transport of a Viscoelastic Fluid with Fractional Burgers’ model, Thermal Sciences, doi:10.2298/TSCI090924043T (2011). |
| 71. | Homotopy Analysis Method for Solving Fractional Hyperbolic Partial Differential Equations, Int. J. of Computer Mathematics, Vol. 88, 578-588 (2011). |
| 72. | Approximate analytical solution of the Fractional predator-prey model for n-species by Homotopy Analysis Method, J. Adv. Res. Sci. Comput., Accepted (2011). |
| 73. | The homotopy analysis method for fractional Cauchy reaction-diffusion problems, International Journal of Chemical Reactor Engineering, Vol. 9, A15 (2011). |
| 74. | A Mathematical Model on fractional Lotka-Volterra equations, Journal of Theoretical Biology, Vol. 277, 1-6 (2011). |
| 75. | An approximate solution of nonlinear fractional reaction-diffusion equation, Applied Mathematical Modelling, Vol. 35, 4071-4076 (2011) |
| 76. | Solution of the nonlinear fractional diffusion equation with absorbent term and external force, Applied Mathematical Modelling, Vol. 35, 3970-3979 (2011). |
| 77. | An approximate analytical solution of time-fractional telegraph equation, Applied Mathematics and Computation, Vol. 217, 7405-7411 (2011). |
| 78. | Homotopy Analysis Method for solving Fractional Diffusion equation, International Journal of Applied Mathematics and Mechanics, Vol. 7, 28-37 (2011). |
| 79. | Approximate analytical solution of diffusion equation with fractional time derivative using optimal homotopy analysis method, Surveys in Mathematics and its Applications, Accepted (2011). |
| 80. |
Approximate analytical solutions of fractional gas dynamic equations, Applied Mathematics and Computation, Vol. 217, 9905-9915 (2011). |
| 81. |
Explicit Solution for Time-Fractional Batch Reactor System, Int. J. of Chemical Reactor Engineering, Accepted (2011). |
| 82. | An Approximate Analytical Solution of Schrodinger Equation, Nonlinear Science, Letter B, Accepted (2011). |
|
83. |
Application of Homotopy Analysis Method for Fractional Swift Hohenberg Equation - Revisited, Applied Mathematical Modelling, Accepted(2011). |
|
84. |
An
approximate analytical solution of nonlinear fractional diffusion
equation, International Journal of
Nonlinear Science, Accepted (2011). |
|
85. |
Solution
of
nonlinear
fractional
diffusion
equation with absorbent term and
external force using optimal homotopy-analysis method, Zeitschrift
für
Naturforschung
A, Accepted
(2012). |
|
86. |
Compacton
Solutions
of
Nonlinear
Dispersive
K(n,n) Equations with Time fractional
Derivatives, World Applied Science
Journal, Accepted (2011). |
|
87. |
Fractional diffusion equations in the
presence of reaction terms, Communications in Fractional
Calculus, Accepted (2012). |
| Nonlinear Dynamics |
|
|
88. |
Synchronization
of
chaotic
fractional
order
Lotka Volterra system, International
Journal of Nonlinear Science,
Accepted
(2012). |
|
89. |
Synchronization
of
fractional
order
chaotic
system using Active control method, Chaos,
Solitons
&
Fractals, Accepted (2012). |
|
90. |
Synchronization
between
fractional
order
Ravinovich-Fabrikant
and Lotka-Volterra system, Nonlinear
Dynamics,
Accepted (2012). |
Academic Visits:
| 1. Presented a paper entitled ‘ Stress Intensity Factors for a pair of equal parallel Interfacial Cracks on a layer sandwiched between two dissimilar Half-planes’ in the 10th Bangladesh Mathematical Conference organized by Bangladesh Mathematical Society in University of Dhaka, Bangladesh in 1995. |
| 2. Selected as a participant in attending the Summer School course on Non linear Hyperbolic Equations’ conducted by CIMPA was held in Fudan University, Beijing, China from September 9-26,1998. |
| 3. Selected as a participant in attending the 31st Symposium on Mathematical Physics, institute of Physics, Nicholas Copernicus University, May 18-21, 1999, Torun, Poland. |
| 4. Selected as a participant in attending the Quantum Symposium in Thermal Physics and Mathematics (School) CIMPA - UNSA - UNESCO - ARGENTINA San Carlos de Bariloche, Argentina, January 10-24, 2000. |
| 5. Participated in the CIMPA School course on Mathematical Problems arising from thin Structures held in Sanghai, CHINA, August 20-31, 2001. |
| 6. Selected as a participant in the International conference on SMART TECHNOLOGY DEMONSTRATORS AND DEVICES in Edinburgh, U.K., December 12-14,2001. |
| 7. Selected as a participant in the Satellite conference of ICM, 2002 Beijing on Scientific computing (SCSC) held in Xian, CHINA, during August 15-18 , 2002. |
| 8. Delivered a lecture in the Laboratory of the Faculty of Engineering in Shizuoka University, JAPAN, during December 5 - 7, 2004. |
| 9. Participated in the CIMPA School course on Kinetic Equations : from Theory to Applications held in Academia Sinika, Taipei, Taiwan, during December 8 - 20 , 2004. |
| 10. Participated in the NSF - CBMS Conference on New Perspective for boundary value problems and their Asymptotics held in University of Texas, USA during May 16-20, 2005. |
| 11. Had been an Academic Visitor to the Department of Mechanical Engineering at National University of Singapore (NUS) from June 03-June 10, 2007. |
| 12.
Presented
a
paper
titled
Interaction
of
moving
Interfacial
cracks
in
composite media under antiplane
shear at ICIAM’07 held at ETH, Zurich,
Switzerland
between
July
16
-
July
20,
2007. |
| 13.
Had
been
an
Academic
Visitor
to
the
Department
of
Applied
Mathematics
at
ICTP,
Trieste, Italy from July 21-July 29, 2007. |
| 14.
Had
been
an
Academic
Visitor
to
the
Department
of
Mechanical
Engineering at National University
of
Singapore(NUS) from June 13-June 25, 2008. |
| 15.
Presented
a
paper
titled
"
Solution
of
time-space
fractional
diffusion
equation with Absorbant term " at ICCSA
2009 held at University
of Le Havre , Le Havre,
Normandy, France during June 29 -July 02, 2009. |
| 16. Had been an Academic Visitor to the Department of Mechanical Engineering at National University of Singapore (NUS) from June 16 - June 30, 2010. |
|
17. Had been an Academic
Visitor of the Department of Mechanical Engineering at Hong Kong
Polytechnique University from February 12-19, 2011. |
| 18. Had been an Academic Visitor of the Institute of Mathematical Science, University of Malaya, Malaysia from June 15- July 14, 2011. |
| 19. Had been an Academic Visitor of the Department of Civil and Construction Engineering at City University, Hong Kong during February 29 - March 10, 2012. |
Contact:
Address:
Department of Applied Mathematics,
Institute of Technology,
Banaras Hindu University,
Varanasi - 221 005,
India.
Phone No. +91-9451141269
e-mail : subir_das08@hotmail.com;
sdas.apm@itbhu.ac.in