Profile Welcome! My background
is applying mathematics to study wave propagation in elastic solids. I work
with Surface and plane waves and my work can be found on my google scholar page for reference. Therefore, the
research field is some times called as Elastodynamics or solid mechanics. I
completed my PhD in the same field from University of Glasgow in 2011. My thesis can be found here. Since
then I am affiliated with SNSNUST.
The phenomenon of wave
propagation in solids has been an area of interest since it is applicable to
many real life problems. For example, as mentioned in the book, the manufacturing of high frequency
acoustic wave filters and transducers (used in everyday electronic device such
as global positioning systems, cell phones, miniature motors, detectors,
sensors, etc.), the health monitoring of of elastic structures (nondestructive
evaluation in the automotive or aeronautic industry), the acoustic
determination of elastic properties of solids (physics, medicine, engineering,
etc.), ultrasonic imaging techniques (medicine, oil prospection, etc.), and so
on. I would like to work with young researchers on new problems. The theories
of linear and nonlinear elasticity can be used in problems which involve
fluidsolid interaction as well.
Research Research Area:
Solid
Mechanics, Elastodynamics, Wave Propagation
Research
Interests:
Study of wave
properties in residually stressed materials is an saturated field of study in
Elastodynamics. Materials are generally considered to be unstressed in their
initial configuration. However, practically this is an assumption far from
real. The presence of stress in the unloaded state of a material causes major
changes in its properties and these changes are studied through the effect of
this residual stress on the wave speed, its amplitude and various other
parameters.
Research
Students:
MPhil
1.Rashida
Zafar (2019)
Title of MS dissertation: Hadamardtype fractional operators and their
Mellin transform analysis.
2.Sadaf
Shaheen (2019)
Title of MS dissertation: Rayleigh Wave Propagation in Anisotropic
Elastic Materials.
3.Asad Ali
(2019)
Title of MS dissertation: Reflection of quasiP and quasiSV waves at the
surface of monoclinic medium.
4.Attiya
Imtiaz (2018)
Title of MS dissertation: Some formulas for Rayleigh wave speed.
5.Ayesha Bibi
(2017)
Title of MS dissertation: Effect of rotation on speed of surface waves in
anisotropic materials.
6.Noureen
Tayyab (2017)
Title of MS dissertation: Surface waves in orthotropic elastic medium
with voids.
7.Naveed
Iqbal (2014)
Title of MPhil Dissertation: Propagation of Waves in Initiallystressed
Elastic Materials.
8.Mohammad
Afzal Awan (2012)
Title of MPhil Dissertation: Rayleighlamb
frequency spectrum for Isotropic materials.
Publications Research Publications:
 Aziz,A.;
Jamshed, W.; Ali, Y.; Shams, M.; Heat transfer and entropy analysis of
Maxwell hybrid Nanofluid including effects of inclined magnetic field, Joule
heating and thermal radiation, Discrete and continuous dynamical
systemsseriess, To appear, 2019.
 Shams,
M.; Wave propagation in an incompressible hollow elastic cylinder with residual
stress, Discrete and continuous dynamical systemsseriess, Accepted https://www.aimsciences.org/article/doi/10.3934/dcdss.2020123, 2019.
 Shams,
M.; Khalique, CM.; Aziz, T.; Plane Wave Reflection in a Compressible Half Space
with Initial Stress, Open Physics, 17, 438448, 2019.
 E
 jaz,
K; Shams, M; Love waves in compressible elastic materials with a homogeneous
initial stress, Mathematics and Mechanics of Solids, 24(8), 25762590, First
published: 2018, Published: 2019.
 Shams,
M; Reflection of plane waves from the boundary of an initially stressed
incompressible halfspace, Mathematics and Mechanics of Solids, 24(2) 406433,
First published: 2017, Published: 2019.
 Shams,
M; Effect of initial stress on Love wave propagation at the boundary between a
layer and a halfspace, Wave Motion, 65, 92104, 2016.
 Shams,
M; Ogden, RW; On Rayleightype surface waves in an initially stressed
incompressible elastic solid, IMA Journal of Applied Mathematics, 79( 2),
360376, 2014.
 Hussain,
T ; Awan, MA; Shams, M; Ahmad, F; Lamb Modes for an Isotropic Incompressible
Plate, Mathematical Problems in Engineering,
http://dx.doi.org/10.1155/2013/152346; 2013.
 Shams,
M; Destrade, M; Ogden, RW; Initial stresses in elastic solids: constitutive
laws and acoustoelasticity, Wave Motion, 48, (7), 552567, 2011.
 Shams,
M; Wave propagation in residuallystressed materials, 2010, University of
Glasgow. (PhD Thesis).
 Ahmad,
F; Kiyani, N; Yousaf, F; Shams, M; Guided waves in a fluidloaded transversely
isotropic plate, Mathematical Problems in Engineering, 8(2) 151159, 2002.
Teaching Current courses:
 Math 452 Ordinary Differential
Equations (UG)
 Math 898 – Research methodology
(PG)
Already taught:
UG courses:
 Calculus I (Single Variable
Calculus)
 Calculus II
(Multivariable Calculus)
 Calculus III (Advanced
Engineering Mathematics)
 Linear Algebra with
Applications using MATLAB
 Ordinary Differential Equations
 Discrete Mathematics and its
Applications
 Fundamentals of Mathematics
(Basic Level Course for BioBioinformatic)
 Cryptography
 Number Theory
 Mathematical Modeling
PG Courses:
 Computational Mathematics
 Optimization Theory
 Continuum Mechanics
 Research Methodology
 Differential Equations
 Nonlinear Theory of Elasticity
