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Teaching GuideTerm Faculty of Computer Science |
| Mestrado Universitario en Matemática Industrial (2013) |
 Subjects |
| Continuum mechanics |
| Contents |
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| Identifying Data | 2020/21 | |||||||||||||
| Subject | Continuum mechanics | Code | 614855205 | |||||||||||
| Study programme |
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| Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
| Official Master's Degree | 1st four-month period |
First | Optional | 6 | ||||||||||
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| Topic | Sub-topic |
| Introduction | Tensor algebra and analysis. Polar decomposition, divergence and Stokes theorems |
| Curvilinear coordinates | Vector bases and curvilinear coordinates. Vector fields. Differential operators in curvilinear coordinates |
| Kinematics | Material bodies. Motion and deformation, types of motions. Transport theorems. Isochoric motions, spin, circulation, vorticity |
| Conservation laws | Mass. Linear and angular moments. Force and stress. Moment equilibrium and its consequences. Piola-Kirchhoff tensor. Energy conservation, Clausius-Duhem inequality |
| Change of observer | Change of observer. Material indifference pinciple |
| Some simple models | Constitutive hypotheses. Ideal fluids. Navier-Stokes equations. Elastic bodies. Thermoelasticity |
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