Instructor: Dr. Konstantin Ustinov (Russian Academy of Sciences, Moscow)
Syllabus:
-Mathematical modeling in engineering. Reducing stationary and non-stationary problems (e.g. electricity,
conductivity, filtration) to partial differential equations. Multi-physical coupled and uncoupled problems.
Partial differential equations of the second order describing the corresponding problems. Methods of solutions. Elastic and inelastic deformation of solids.
Isotropy and anisotropy. 3-D and 2-D problems.
– Integral transforms as a tool to solve problems in engineering. Laplace and Fourier integral transforms and examples.
– Introduction to computer algebra codes (Wolfram Mathematica, Maple, …).
– Using Integral transforms for solving elastic problems. Deformation of elastic isotropic strip and half-
plane.
– Some auxiliary information on theory of functions of complex variables. Formulation of Wiener-Hopf
problems.
– Solution of selected problems in elasticity/ fracture mechanics through the solution of Wiener-Hopf
equations
– Lab work: using Wolfram Mathematica
