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Sidra, Mathematician
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Degrees
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I have successfully completed my M.Phil degree in distinction in Applied Mathematics from a very a well known university that stands in top 300 universities in the world,my specialization is in Continuum Mechanics and elastodynamics, as well as my M.Sc and BSc is also in Applied Mathematics. I have also obtained the graduate degree in teaching methods.
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My Expert Service
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I have knowledge of Applied mathematics and its theories.I may help out in all fields of Applied Mathematics like Differential equation, Numerical analysis, Partial differential equation, Fluid Mechanics, Continuum Mechanics, Differential geometry, Linear Algebra, Algebra, vector and tensor analysis and all other fields as well. In my research I described a simple method for finding matrix representation of the elasticity tensor belonging to a trigonal, tetragonal or a hexagonal material. Suitable tensors of rank two are formed and their symmetry properties lead to the vanishing of several components and certain relations are obtained among the components of the elasticity tensor belonging to these class.
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Experience & Qualifications
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I am an expert in applied mathematics looking forward to facilitate in understanding the basic concept and related theories in all branches of applied maths to students. I have teaching experience in almost all areas of applied mathematics in a well known private sector university. My research is on an anisotropic elasticity tensor and my publications is "Representation of the elasticity tensor of an anisotropic material possessing an axis of symmetry".
My research deals with necessary and sufficient conditions for the existence of axes and planes of symmetry. We discuss matrix representation of an elasticity tensor belonging to a trigonal, a tetragonal or a hexagonal material.
The planes of symmetry of an anisotropic elastic material (if they exist) can be found by the Cowin-Mehrabadi theorem (1987) and the modified Cowin-Mehrabadi theorem proved by Ting (1996). Using the Cowin-Mehrabadi formalism Ahmad (2010) proved the result that an anisotropic material possesses a plane of symmetry if and only if the matrix associated with the material commutes with the matrix representing the elasticity tensor. A necessary and sufficient condition to determine an axis of symmetry of an anisotropic elastic material is given by Ahmad (2010).
We review the Cowin-Mehrabadi theorem for an axis of symmetry and develop a straightforward way to find the matrix representation for a trigonal, a tetragonal or a hexagonal material.
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Available Modes Of Communication
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email/chat
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Sidra, Mathematician
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