# 7 semester

 1 Course Title Mathematical models of the mechanics of a deformed solid body and the basis of fracture mechanics 2 Course, speciality 4, Mechanics and Mathematical modeling 3 Semester 7 4 Credits 5 5 Lecturer Senior Lecturer D. Marmysh 6 Goals Increase the level of professional competence in mathematical and computer modeling of different processes and phenomena in the the mechanics of a deformed solid body. As a result of the study, the student should be able to: –        choose a model and perform a mathematical statement of the initial-boundary value problems of various sections of the mechanics of a deformed solid body; –        carry out a mathematical solution of the mechanics of a deformed solid body problems; –        improve “standard” models for different sections of the mechanics of a deformed solid body; –        use the basic equations and mathematical models of different sections of the mechanics of a deformed solid body in the formulation of specific classical educational and applied problems; –        formulation of boundary and initial conditions –        apply analytical, approximate and numerical methods for solving the problems of mechanics of deformed solids and develop them based algorithms and calculation schemes for solving various classes of applied the mechanics of a deformed solid body problems; –        analyze the results, compare them with experiments, formulate conclusions and conclusions. 7 Prerequisites Theory of elasticity 8 Contents Some problems in the theory of the stress-strain state of solid deformable media. The physical relationships that determine the deformable medium. Models of elastic solid deformable media Models of behavior of plastic rigid deformable media Models of behavior of media with rheological properties Fundamental applied the mechanics of a deformed solid body solutions Fundamentals of fracture mechanics. Basic stages of mathematical modeling of mechanical processes. 9 Recommended Literature Asaro R., Lubarda V. Mechanics of solids and materials, 2006 (Cambridge). Hill R. The Mathematical Theory of Plasticity, 1998 (Oxford). De Souza N., Peric & Owen: Computational Methods for Plasticity, 2008 (Wiley). Anderson T. Fracture Mechanics: Fundamentals and Applications, 1991. (CRC Press, Boca Raton). 10 Teaching methodology Lectures and practical trainings 11 Language English 12 Conditions, current control Test works, test tasks 20% – current work, 30% – colloquium, 50% – examination 13 Examination methodology Examination