CONTINUUM MECHANICS RESEARCH GROUP

Mission Statement

Our group is primarily interested in solving various elastic wave propagation related problems in classical as well as non classical theories of elasticity. Some of the main theories which we have worked are Eringen’s theories of Micropolar, Microstretch, Thermo-microstretch elasticity. The classical wave problems of reflection and transmission at interfaces of different elastic medias, Rayleigh wave, Stoneley wave and Love waves are also studied in non classical elasticity. The propagation characteristics of plane waves can be used to infer elastic properties under the earth crust. We are also interested in various techniques of Non destructive evaluations of materials using ultrasonic guided waves. The research group is also interested in solving dynamical and stability problems in Ferrofluids.

International Collaborations of the research group:

· University of Glasgow, UK

· Ruhr-University, Bochum, Germany

· Budapest University of Technology and Economics, Budapest, HUNGARY

· Universite de Bordeaux, France

· Universite du Maine, France

Funding agencies of our research group:

Council of Scientific & Industrial Research (CSIR), Department of Science and Technology, Govt. of India, National Board for Higher Mathematics (NBHM), DAE, India, University Grant Commission, India.

Group Members

1. Dr. Aarti KHURANA (Ph.D.), Departemt of Mathematics,Panjab University. Chandigarh, India,

(aarti_maths[at]yahoo.com)

2. Dr. Ashish ARORA (Ph.D.), PTU, Punjab, India,

(drashish[at]ptu.ac.in)

(d.singh[at]pu.ac.in)

3. Dr. Jaswant SINGH (Ph.D.), Govt. College, Himachal Pradesh, India,

(j_s_chandel[at]yahoo.co.in)

4. Dr. Jitender SINGH (Ph.D.), GNDU, Amritsar, India

(jitender.math[at]gndu.ac.in)

5. Dr. Neela PAWAR (Ph.D.), MCM-DAV College, Sec 36, Chandigarh, India

(neela.pawar@yahoo.com)

6. Dr. Sarat S. SINGH (Ph.D.), Mizoram University, Mizoram, India,

(saratcha32[at]yahoo.co.uk)

7. Dr. Vinay KANWAR (Ph.D.), UIET, Panjab University, Chandigarh, India,

Email:

Current Graduate Students

1. Suraj Goyal (M.Sc. Mathematics, Panjab University, 2010) (Since January, 2011 -), surajgoyal87[at]gmail.com

(Thesis title: Elastic waves in swelling porous medium containing two immiscible fluids)

2. Jai Bhagwan (M.Sc. Mathematics, Panjab University, 2005) (Since September, 2010 -), jaipuchd[at]gmail.com

(Thesis title: Propagation of Waves in Thermo- Viscoelastic medium with voids.)

Past Graduates from the group:

1. Jatinder Kaur: Reflection and transmission of SH-waves at a corrugated interface, (2007).

2. Sanasam Sarat Singh: Elastic waves at a corrugated interface in anisotropic elastic solids, (2008).

3. Dilbag Singh: Some dynamical problems in micropolar elasticity, (2008).

4. Aarti Khurana: Propagation of elastic waves in micropolar continuum, (2009).

5. Ashish Arora: Wave propagation in porous elastic solid containing two immiscible fluids, (2010).

6. Jaswant Singh: Plane waves in elastic material with voids, (2010).

Group Publications:

1. S. K. Tomar and Jaswant Singh: Transmission of Longitudinal waves through a plane interface between two dissimilar porous elastic solid half-spaces, Appl. Math. Comput., 169(1), (2005), 671-688.

2. S. K. Tomar: Wave propagation in a micropolar elastic layer sandwiched between liquid half space and micropolar elastic solid half-space, Int. J. Appl. Mech. Engng., 12(1), (2007), 255-262.

3. S. K. Tomar: Wave propagation in a micropolar elastic plate with voids, J. Vibr. Cont., 11(6) (2005), 849-863.

4. S. Chaudhary, V. P. Kaushik, S. K. Tomar: Transmission of shear waves through a self-reinforced Layer sandwiched between two inhomogeneous viscoelastic half-spaces, Int. J. Mech. Sci., 47(9) (2005), 1455-1472.

5. Neela Rani and S. K. Tomar: Convection of micropolar heated fluid with rotation in hydro-magnetic, Int. J. Fluid Mech. Res., 32(6), (2005), 675-690.

6. S. K. Tomar and Ashish Arora: Reflection and transmission of elastic waves at an elastic/porous half-space saturated by two immiscible fluids, Int. J. Solid Struct., 43(7-8) (2006), 1991-2013. [Erratum: ibid, 44(17), (2007), 5796-5800]

7. S. K. Tomar and Sanasam Sarat Singh: Plane SH-waves at a corrugated interface between two different perfectly conducting self-reinforced elastic half-spaces, Int J. Num. Anal. Methods Geomech., 30(6), (2006), 455-487.

8. J. Singh and S. K. Tomar: Reflection and transmission of transverse waves at a plane interface between two different porous elastic solids half-spaces, Applied Mathematics and Computation, 176(1), (2006), 364-378.

9. Yajuvindra Kumar and S. K. Tomar: Free transverse vibrations of monoclinic rectangular plates with continuously varying thickness and density, Int. J. Appl. Mech. Engng., 11(4), (2006), 881-900.

10. S. Choudhary, V. P. Kaushik and S. K. Tomar: Plane SH-wave response from elastic slab interposed between two different self- reinforced elastic solids, Int. J. Appl. Mech. Engng., 11(4), (2006), 787-801.

11. Sanasam Sarat Singh and S. K. Tomar: Quasi P-waves at a corrugated interface between two dissimilar monoclinic elastic half-spaces, Int. J. Solid Struct., 44(1), (2007), 197-228.

12. S. K. Tomar and Dilbag Singh: Propagation of Stoneley waves at an interface between two microstretch elastic half-spaces, J. Vibr. Cont., 12(9), (2006), 995-1009[Erratum: ibid, 13(12), (2007), 1835-1836].

13. S. S. Singh and S. K. Tomar: Shear waves at a corrugated interface between two dissimilar fibre-reinforced elastic half-spaces, J. Mech. Mat. Struct. 2(1), (2007), 167-188.

14. Dilbag Singh and S. K. Tomar: Wave propagation in micropolar mixture of porous media, Int. J. Engng. Sci., 44(18-19), (2006), 1304-1323.

15. Sanasam Sarat Singh and S. K. Tomar: Elastic waves at a corrugated interface between two dissimilar fibre-reinforced elastic half-spaces, Int. J. Num. Anal. Methods Geomech., 31(9), (2007), 1085-1116.

16. S. K. Tomar and J. Kaur: SH-waves at a corrugated interface between a dry sandy half-space and an anisotropic elastic half-space, Acta Mechanica, 190, (2007), 1-28.

17. Aarti Khurana and S. K. Tomar: Propagation of plane elastic waves at a plane interface between two electro-microelastic solid half-spaces, Int. J. Solid. Struct., 44(11-12), (2007), 3773-3795.

18. Ashish Arora and S. K. Tomar: Elastic waves at porous/porous elastic half-spaces saturated by two immiscible fluids, J. Porous Media, 10(8), (2007), 751-768.

19. Dilbag Singh and S. K. Tomar: Rayleigh-Lamb waves in a microstretch elastic plate cladded with liquid layers, J. Sound Vibr., 32(1-2), (2007), 313-331.

20. S. K. Tomar and J. Singh: Plane waves in micropolar porous elastic solid, Int. J. of Appl. Math. Mech., 2(3), (2006), 52-70.

21. A. Arora and S. K. Tomar: Elastic waves along a cylindrical borehole in a poroelastic medium saturated by two immiscible fluids,J. Earth Syst. Sci., 116(3), (2007), 225-234.

22. S. K. Tomar and J. Kaur: Reflection and transmission of SH-waves at a corrugated interface between anisotropic elastic and visco-elastic solid half-spaces, J. Seismology, 3, (2007), 235-258.

23. V. Kanwar and S. K. Tomar: Modified families of Newton, Halley and Chebyshev methods, Appl. Math. Comput., 192, (2007), 20-26.

24. J. Singh and S. K. Tomar: Plane waves in thermo-elastic material with voids, Mechanics of Materials, 39(10), (2007), 932-940.

25. V. Kanwar and S. K. Tomar: Modified families of multi-point iterative methods for solving nonlinear equations, Num. Algorithm, 44 (4), (2007), 381-389.

26. D. Singh and S K Tomar: Longitudinal waves at a micropolar fluid/solid interface, Int. J. Solid Struct., 45, (2008), 225-244.

27. S. K. Tomar and Aarti Khurana: Elastic wave propagation in electro-microelastic solid, Int. J. Solid Struct., 45, (2008), 276-302.

28. J. Singh and S. K. Tomar: Plane waves in a rotating micropolar porous elastic solid, J. Appl. Phys., 102, (2007).

29. Aarti Khurana and S. K. Tomar: Transmission of longitudinal wave at a plane interface between micropolar elastic and chiral solid half-spaces: Incidence from micropolar half-space, J. Sound Vibr., 311, (3-5), (2008), 973-990.

30. Ashish Arora and S. K. Tomar: The effect of inertial coupling on seismic reflection amplitudes, Geophysical Prospecting, 56, (2008), 643-654.

31. S. K. Tomar: Elastic wave propagation in materials with voids-A review, Math. Student, (2007), 241-260.

32. S. S. Singh and S. K. Tomar: qP-wave at a corrugated interface between two dissimilar pre-stressed elastic half-spaces, J. Sound Vibr., 317(3-5), (2008), 687-708.

33. Dilbag Singh and S. K. Tomar: Waves in a cylindrical borehole filled with micropolar fluid, J. Appl. Phys., 103(12), 124905 (2008).

34. Vinay Kanwar and S. K. Tomar: Exponentially fitted variants of Euler’s method for ODEs, Int. J. Math. Educ. Sci. Tech., 39(8), (2008), 1112-1116.

35. S. K. Tomar and J. Singh: Errata to “Plane waves in micropolar porous elastic solid, IJAMM, 2(3), (2006), 52-70”, ibid, 4(5), (2008), 42-44.

36. V. Kanwar and S. K. Tomar: Exponentially fitted variants of Newton’s method with quadratic and cubic convergence, Int. J. Comp. Math., 86(9), (2009), 1603-1611.

37. Aarti Khurana and S. K. Tomar: Longitudinal wave response of a chiral slab interposed between micropolar solid half-spaces, Int. J. Solid Struc., 46, (2009), 135-150.

38. S. K. Tomar and Aarti Khurana: Reflection and transmission of elastic waves from a plane interface between two thermo-microstretch solid half-spaces, Int. J. of Appl. Math. & Mech., 5(4), (2009), 48-68.

39. Neela Rani and S. K. Tomar: Thermal Convection problem of micropolar fluid subjected to Hall currents, Appl. Math. Model., 34, (2010), 508-519.

40. Ashish Arora and S. K. Tomar: Seismic reflection from an interface between an elastic solid and a fractured porous medium with partial saturation, Transport in Porous Media, 85(2) (2010), 375-396.

41. Neela Rani and S. K. Tomar: Double-diffusive convection of micropolar fluid with hall effects, Int. J. of Appl. Math. & Mech., 6(19), (2010), 67-87.

42. S. Chaudhary, V. P. Kaushik, S. K. Tomar: Transmission of plane SH – wave through a monoclinic layer embedded between two different self-reinforced elastic solid half-spaces, Int. J. of Appl. Math. & Mech., 6(19), (2010), 22-43.

43. S. K. Tomar and Aarti Khurana: Transmission of longitudinal wave through micro-porous elastic solid, Int. J. Engng. Sci. & Tech., 3(2), (2011), 12-21.

44. J. Singh and S. K. Tomar: Plane waves in a rotating generalized thermo-elastic solid with voids, Int. J. Engng. Sci. & Tech., 3(2) (2011), 34-41.

45. S. K. Tomar and Neela Rani: Propagation of plane waves in microstretch fluid, Appl. Math. Model. 35(12), (2011), 5751-5765.

46. Sanjeev Kumar, V. Kanwar, Sushil Kumar Tomar, and Sukhjit Singh:Geometrically constructed families of Newton’s method for unconstrained optimization and nonlinear equations, Int. J. Math Math Sci., Volume 2011 (2011), Article ID 972537, 9 pages.

47. V. Kanwar, S.K. Tomar, Sukhjit Singh and Sanjeev Kumar: Note on Super-Halley method and its variants, Tamsui Oxford Journal of Information and Mathematical Sciences, Vol 28-2, (2012)191-216

48. Neela Rani and S. K. Tomar: Thermal instability of compressible micropolar fluid in the presence of suspended particles, J. Mech., 28(2) (2012), 239-246.

49. S. K. Tomar, J. Bhagwan, H. Steeb: Time harmonic waves in thermo-viscoelastic material with voids, Published online February 06, 2013 Journal of Vibration and Control.

50. H. Steeb, Jaswant Singh, S. K. Tomar: Time harmonic waves in thermoelastic material with microtemperatures, Mech. Res. Commun. 48, (2013), 8-18.

51. Aarti Khurana and S. K. Tomar: Reflection of plane longitudinal waves from stress-free boundary of a nonlocal, micropolar elastic solid half-space, J. Mech. Mat. Struc., 8(1), (2013), 95-107.

52. 79. Aarti Khurana, S. K. Tomar: Wave propagation in thermo-chiral elastic medium, Appl. Math. Model., 37(22), (2013), 9409-9418. DOI: 10.1016/ j.apm. 2013.04.029

53. S K Tomar and Suraj Goyal: Elastic wave propagation in swelling porous medium, Transp. Porous Med, DOI: 10.1007/s11242-013-0204-4, 100 (2013), 39-68.

54. S. K. Tomar and R. W. Ogden: Two dimensional wave propagation in rotating elastic media with voids, J. Sound Vib., 333(7). (2014), 1945-1952.

55. Dilbag Singh, M. Castaings and C. Bacon, (2011) “Sizing strip-like defects in plates using guided waves”, NDT&E International, Volume 44, Issue 5, 394-404.

56. Dilbag Singh and M. Castaings (2010), Defect sizing using ultrasonic plate.Congres Francais d'Acoustic. Proceedings of the Congrès Français d’Acoustique, CFA 2010/224.

57. Dilbag Singh, M. Castaings, (2011) “Sizing disbonds between a stiffener and a composite plate using ultrasonic guided waves” Review of progress in quantitative nondestructive evaluation, Volume 30, 697-704.

58. D. Zakharov, M. Castaing and Dilbag Singh, (2011) “Numerical and asymptotic approach for evaluating complex wave-numbers of guided modes in viscoelastic plates, Journal of Acoustical Society of America (JASA), 130(2), 764-771.

59. M. Castaings, Dilbag Singh and P. Viot, (2012) " Sizing of impact damage in composite materials using ultrasonic guided waves, NDT&E International, Volume 46, 22–31.

60. Dilbag Singh, R. El. Guerjouma and M Bentahar, (2012) "Interaction of fundamental Lamb modes with a point impact damaged zone in composite plates, Proceedings of the Acoustics 2012, 2423-2428.

61. Renu Bajaj and S.K. Malik, Pattern formation in ferrofluids, Journal of Magnetism and Magnetic Materials, 1409, (1995), 158-161.

62. Renu Bajaj and S.K. Malik, Convective instability and pattern formation in magnetic fluids, Journal of Mathematical Analysis and Applications, 207, (1997),172-191.

63. Renu Bajaj, Thermodiffusive magneto convection in ferrofluids with twofrequency gravity modulation. Journal of Magnetism and Magnetic Materials, 494, (2004), 288-483.

64. Jitender Singh and Renu Bajaj, Couette flow in ferrofluids with magnetic field, Journal of Magnetism and Magnetic Materials, 294, (2005), 53-62.

65. Jitender Singh and Renu Bajaj, Stability of nonaxisymmetric ferrofluid flow inrotating cylinders with magnetic field, Int. J. Math. Math. Sci., 23, (2005), 3727-3737.

66. Jitender Singh and Renu Bajaj, Nonaxisymmetric modes of Couette-Taylor instability in ferrofluids with radial flow, Magnetohydrodynamics, 42, (2006), 57-68.

67. Jitender Singh and Renu Bajaj, Parametric Modulation in the Taylor-Couette Ferrofluid flow, Fluid Dyn. Res., 40, (2008), 737-752.

68. Jitender Singh and Renu Bajaj, Temperature Modulation in Ferrofluid Convection, Physics of Fluids, 21, 0641015 (2009).

69. Renu Bajaj, The effect of periodically moving boundaries on Thermo-magnetic Convection in Ferrofluids, Physics of Fluids, 22, 114106 (2010)

70. Jitender Singh and Renu Bajaj, Convective instability in a ferrofluid layer with temperature-modulated rigid boundaries, Fluid Dyn. Res. 43 (2011) 025502

For Ph.D. and postdoc positions, please contact us at :

sktomar[at]pu.ac.in, rbajaj[at]pu.ac.in

Important Links

• Department of Mathematics, Panjab University

• Panjab University

• NBHM

• UGC

Webpage created and designed by Dilbag SINGH.

Last updated: March 2014