Principles and applications of continuum mechanics. Kinematics of deformation. Thermomechanical conservation laws. Stress and strain measures. Constitutive equations including some examples of their microscopic basis. Solution of some basic problems for various materials as relevant in materials science, fluid dynamics, and structural analysis. Inherently nonlinear phenomena in continuum mechanics. Variational principles.
Doctor of Philosophy (PhD) in Mechanical Engineering
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| content serial | Description |
|---|
| 1 | Some Preliminary Notions |
| 2 | Kinematics of a Deformable Medium |
| 3 | Kinematics of a Deformable Medium |
| 4 | Dynamic Concepts and Dynamic Equations of Continuum Mechanics |
| 5 | The Closed Systems of Mechanical Equations for the Simplest Models of Continuous Media |
| 6 | Some Results from Tensor Analysis |
| 7 | Basic Thermodynamic Concepts and Equations |
| 8 | Thermodynamic Balance Laws and Field Equations |
| 9 | Thermodynamic Balance Laws and Field Equations |
| 10 | Singular Surfaces a Thermo-elastic Materials |
| 11 | Mechanical Balance Laws and Field Equations |
| 12 | Basic Concepts and Equations of Electrodynamics |
| 13 | On the Formulation of Problems in Continuum Mechanics |
| 14 | Nonlinear Tensor Functions of Several Tensor Arguments |
| 15 | Models of Continuous Media with Internal Degrees of Freedom |
| 16 | Final Examination |
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