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 SNS-NUST.
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 (non-destructive
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 non-linear elasticity can be used in problems which involve
fluid-solid interaction as well.
Mechanics, Elastodynamics, Wave Propagation
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
Title of MS dissertation: Hadamard-type fractional operators and their
Mellin transform analysis.
Title of MS dissertation: Rayleigh Wave Propagation in Anisotropic
Title of MS dissertation: Reflection of quasi-P and quasi-SV waves at the
surface of monoclinic medium.
Title of MS dissertation: Some formulas for Rayleigh wave speed.
Title of MS dissertation: Effect of rotation on speed of surface waves in
Title of MS dissertation: Surface waves in orthotropic elastic medium
Title of MPhil Dissertation: Propagation of Waves in Initially-stressed
Afzal Awan (2012)
Title of MPhil Dissertation: Rayleigh-lamb
frequency spectrum for Isotropic materials.
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
systems-series-s, To appear, 2019.
M.; Wave propagation in an incompressible hollow elastic cylinder with residual
stress, Discrete and continuous dynamical systems-series-s, Accepted https://www.aimsciences.org/article/doi/10.3934/dcdss.2020123, 2019.
M.; Khalique, CM.; Aziz, T.; Plane Wave Reflection in a Compressible Half Space
with Initial Stress, Open Physics, 17, 438-448, 2019.
K; Shams, M; Love waves in compressible elastic materials with a homogeneous
initial stress, Mathematics and Mechanics of Solids, 24(8), 2576-2590, First
published: 2018, Published: 2019.
M; Reflection of plane waves from the boundary of an initially stressed
incompressible half-space, Mathematics and Mechanics of Solids, 24(2) 406-433,
First published: 2017, Published: 2019.
M; Effect of initial stress on Love wave propagation at the boundary between a
layer and a half-space, Wave Motion, 65, 92-104, 2016.
M; Ogden, RW; On Rayleigh-type surface waves in an initially stressed
incompressible elastic solid, IMA Journal of Applied Mathematics, 79( 2),
T ; Awan, MA; Shams, M; Ahmad, F; Lamb Modes for an Isotropic Incompressible
Plate, Mathematical Problems in Engineering,
M; Destrade, M; Ogden, RW; Initial stresses in elastic solids: constitutive
laws and acoustoelasticity, Wave Motion, 48, (7), 552-567, 2011.
M; Wave propagation in residually-stressed materials, 2010, University of
Glasgow. (PhD Thesis).
F; Kiyani, N; Yousaf, F; Shams, M; Guided waves in a fluid-loaded transversely
isotropic plate, Mathematical Problems in Engineering, 8(2) 151-159, 2002.
- Math 452- Ordinary Differential
- Math 898 – Research methodology
- Calculus I (Single Variable
- Calculus II
- Calculus III (Advanced
- Linear Algebra with
Applications using MATLAB
- Ordinary Differential Equations
- Discrete Mathematics and its
- Fundamentals of Mathematics
(Basic Level Course for Bio-Bioinformatic)
- Number Theory
- Mathematical Modeling
- Computational Mathematics
- Optimization Theory
- Continuum Mechanics
- Research Methodology
- Differential Equations
- Nonlinear Theory of Elasticity