Teaching GuideTerm Faculty of Computer Science |
Mestrado Universitario en Matemática Industrial (2013) |
Subjects |
Continuum mechanics |
Contents |
|
|
Identifying Data | 2022/23 | |||||||||||||
Subject | Continuum mechanics | Code | 614855205 | |||||||||||
Study programme |
|
|||||||||||||
Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
Official Master's Degree | 1st four-month period |
First | Optional | 6 | ||||||||||
|
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 |
|