Study programme competencies |
Code
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Study programme competences / results
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A1 |
Alcanzar un conocimiento básico en un área de Ingeniería/Ciencias Aplicadas, como punto de partida para un adecuado modelado matemático, tanto en contextos bien establecidos como en entornos nuevos o poco conocidos dentro de contextos más amplios y multidisciplinares. |
A2 |
Modelar ingredientes específicos y realizar las simplificaciones adecuadas en el modelo que faciliten su tratamiento numérico, manteniendo el grado de precisión, de acuerdo con requisitos previamente establecidos. |
A9 |
Conocer, saber seleccionar y saber manejar las herramientas de software profesional (tanto comercial como libre) más adecuadas para la simulación de procesos en el sector industrial y empresarial. |
B3 |
Ser capaz de integrar conocimientos para enfrentarse a la formulación de juicios a partir de información que, aun siendo incompleta o limitada, incluya reflexiones sobre las responsabilidades sociales y éticas vinculadas a la aplicación de sus conocimientos. |
Learning aims |
Learning outcomes |
Study programme competences / results |
Reaching a basic knowledge in mechanics, as a starting point for an adequate mathematical modelling |
AC1 AC2 AC9
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|
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Be able to integrate knowledges to proceed to the formulation of decissions. |
AC1 AC2
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BC2
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Contents |
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 |
Planning |
Methodologies / tests |
Competencies / Results |
Teaching hours (in-person & virtual) |
Student’s personal work hours |
Total hours |
Problem solving |
A9 B3 |
13 |
45 |
58 |
Mixed objective/subjective test |
A1 A2 B3 |
4 |
4 |
8 |
Guest lecture / keynote speech |
A1 A2 |
41 |
42 |
83 |
|
Personalized attention |
|
1 |
0 |
1 |
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(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. |
Methodologies |
Methodologies |
Description |
Problem solving |
Resolution, by the student, of some exercises of continuum mechanics |
Mixed objective/subjective test |
Theorical-practical control |
Guest lecture / keynote speech |
Exposition, by the teacher, of the contents and resolution of some exercises |
Personalized attention |
Methodologies
|
Problem solving |
|
Description |
The teacher will help the students, when necessary, in the resolution of the proposed exercises |
|
Assessment |
Methodologies
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Competencies / Results |
Description
|
Qualification
|
Problem solving |
A9 B3 |
Resolución de exercicios e cuestións teórico-prácticas por parte do alumno, con axuda de bibliografía |
40 |
Mixed objective/subjective test |
A1 A2 B3 |
Resolución de exercicios e cuestións teórico-prácticas nunha proba presencial |
60 |
|
Assessment comments |
To surpass the matter, the student will have to obtain at least a qualification of 4 in the mixed objective/subjective proof. Both methodologies of evaluation will be taken into account, with the indicated percentages, in all the opportunities empoyed by the student.
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Sources of information |
Basic
|
O. López Pouso (2002). "An Introduction to Continuum Mechanics" de M. E. Gurtin. Ejercicios Resueltos (capítulos I-VI). Publicacións Docentes do Departamento de Matemática Aplicada. Univ. de Santiago de Compostela
M. E. Gurtin (1981). An Introduction to Continuum Mechanics. Academic Press. Boston |
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Complementary
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Y. C. Fung (1994). A First Course in Continuum Mechanics. Prentice Hall
K. Hutter, K. Jöhnk (2004). Continuum Methods of Physical Modeling. Springer
A. Bermúdez de Castro (2004). Continuum Termomechanics. Birkhauser
N. Bobillo Ares (2003). Introducción a la geometría y cinemática de medios continuos. Servicio de Publicaciones de la Unviersidad de Oviedo
R. Temam, A. Miranville (2001). Mathematical Modeling in Continuum Mechanics. Cambridge University Press
L. A. Segel (1987). Mathematics Applied to Continuum Mechanics. Dover, New York
G. Duvaut (1990). Mécanique des Milieux Continus. Masson, París |
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Recommendations |
Subjects that it is recommended to have taken before |
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Subjects that are recommended to be taken simultaneously |
Partial differential equations/614855203 |
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Subjects that continue the syllabus |
Fluid mechanics/614855206 | Solid mechanics/614855207 |
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