1. General information
Course:
SOLID MECHANICS
Code:
38322
Type:
CORE COURSE
ECTS credits:
6
Degree:
345 - UNDERGRADUATE DEGREE PROGRAMME IN CIVIL ENGINEERING
Academic year:
2023-24
Center:
603 - E.T.S. CIVIL ENGINEERS OF CR
Group(s):
20
Year:
3
Duration:
First semester
Main language:
Spanish
Second language:
Use of additional languages:
English Friendly:
Y
Web site:
Bilingual:
N
Lecturer:
EDUARDO WALTER VIEIRA CHAVES
- Group(s):
20
Building/Office
Department
Phone number
Email
Office hours
D55
MECÁNICA ADA. E ING. PROYECTOS
6312
eduardo.vieira@uclm.es
Any working day after 18h.
2. Pre-Requisites
Engineering Mathematics I (38300); Engineering Mathematics II (38305)
3. Justification in the curriculum, relation to other subjects and to the profession
Understanding the behavior of deformable bodies and material science by means of theoretical models (e.g. solid mechanics, fluid mechanics).
Apply these models to particular cases and use them to predict mechanical phenomena.
The student learning as a result of the course, understands and dominates the governing equations of practical problems in engineering, thus providing a critical point of view when adopting an approach in order to solve a particular physical problem.
4. Degree competences achieved in this course
| Course competences | |
|---|---|
| Code | Description |
| CE07 | Students reach understanding and mastery of the basic concepts on the general laws of mechanics, thermodynamics, fields and waves and electromagnetism and their application for the solution of engineering problems. |
5. Objectives or Learning Outcomes
| Course learning outcomes | |
|---|---|
| Description | |
| Students understand the behavior of bodies and materials through theoretical models (material point, rigid solid body, deformable solid body). They apply these models to specific cases and use them to predict mechanical phenomena. | |
| Additional outcomes | |
| Description | |
| The student, as learning results, understands and masters the governing equations of practical problems in engineering, thus providing a critical point of view at the time of adopting approaches for the established problem. | |
6. Units / Contents
-
Unit 1: Tensors and Tensor Fields
-
Unit 1.1: Vectors. Coordinate System. Indicial notation. Higher-order tensors: dyad, tensor algebraic operations, transpose, cofactor of a tensor, tensor determinant, inverse of a tensor. Tensor transformation law. Eigenvalues and eigenvectors of a tensor. Orthogonality. Invariants of the tensor. Spectral representation of a tensor. Cayley Hamilton theorem. Isotropic and anisotropic tensors. Polar decomposition. Spherical and deviatoric tensors. Voigt notation. Graphical representation of the tensor: Mohr Circle, tensor ellipsoid. Haigh-Wetergaard space.
-
Unit 1.2: Tensor Fields. Differential Operators: Divergence; Gradient; Curl. Properties of differential operators. Differential Operators compounds. Theorems involving Integrals.
-
-
Unit 2: Stress Tensor
-
Unit 2.3: Forces. Traction vector. Stress tensor. Relationship between the traction vector and the stress tensor. Equilibrium equations. Symmetry of the Cauchy stress tensor. Mohr Circle in Stress. Stress state in two-dimensional case.
-
-
Unit 3: Continuum Kinematics
-
Unit 3.1: The continuum medium: Description of motion: spatial (Eulerian) and material (Lagrangian) descriptions. Deformation Gradient. Finite deformation tensors. Deformation of area and volume. Particular types of motion. Infinitesimal deformation regime.
-
-
Unit 4: Fundamental Equations of Continuum Mechanics
-
Unit 4.2: Principle of conservation of mass. Principle of conservation of linear momentum. Principle of conservation of angular momentum. Principle of conservation of energy. Principle of Irreversibility.
-
-
Unit 5: Introduction to Contitutive Equations
-
Unit 5.1: The Constitutive Principles: Determinism; Local action; Equipresence; Objectivity; Dissipation. Constitutive equations for solids: classical elasticity; Hookean material. Constitutive equations for fluids. Newtonian fluid.
-
-
Unit 6: Initial Boundary Value Problem - IBVP
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Unit 6.1: Thermo-mechanical problem, heat conduction problem, rigid body problem, Linear elasticity problem.
-
7. Activities, Units/Modules and Methodology
| Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
| Class Attendance (theory) [ON-SITE] | Combination of methods | CE07 | 1.3 | 32.5 | N | N | ||
| Problem solving and/or case studies [ON-SITE] | Problem solving and exercises | CE07 | 0.4 | 10 | Y | N | ||
| Final test [ON-SITE] | Assessment tests | CE07 | 0.3 | 7.5 | Y | Y | ||
| Study and Exam Preparation [OFF-SITE] | Self-study | CE07 | 3.6 | 90 | N | N | ||
| Mid-term test [ON-SITE] | Assessment tests | CE07 | 0.4 | 10 | Y | N | ||
| Total: | 6 | 150 | ||||||
| Total credits of in-class work: 2.4 | Total class time hours: 60 | |||||||
| Total credits of out of class work: 3.6 | Total hours of out of class work: 90 | |||||||
As: Assessable training activity Com: Training activity of compulsory overcoming (It will be essential to overcome both continuous and non-continuous assessment).
8. Evaluation criteria and Grading System
| Evaluation System | Continuous assessment | Non-continuous evaluation * | Description |
| Mid-term tests | 28.00% | 0.00% | First test (Topics: 1 and 2) - the exam can be retaken in the ordinary exam |
| Mid-term tests | 28.00% | 0.00% | Second test (Topics: 3 and 4) - the exam can be retaken in the ordinary exam |
| Mid-term tests | 27.00% | 0.00% | Third test (Topics: 5 and 6) - the exam can be retaken in the ordinary exam |
| Assessment of problem solving and/or case studies | 17.00% | 0.00% | Problems solved in class - irrecoverable |
| Final test | 0.00% | 100.00% | |
| Total: | 100.00% | 100.00% |
According to art. 4 of the UCLM Student Evaluation Regulations, it must be provided to students who cannot regularly attend face-to-face training activities the passing of the subject, having the right (art. 12.2) to be globally graded, in 2 annual calls per subject , an ordinary and an extraordinary one (evaluating 100% of the competences).
Evaluation criteria for the final exam:
-
Continuous assessment:The evaluation opportunities throughout the course will be three, two of which will have the final exams (ordinary and extraordinary) and the third "the evaluation per course".
The exam grades are not saved for the next academic year.
The Assessment by Course
The evaluation per course consists of 4 notes. The first three correspond to three written exams scored from 0 to 10 points, being necessary to achieve a minimum of 4.0 in each one of them in order to pass the subject per course (partial). The fourth note corresponds to continuous evaluation, i.e. to the activity developed by the student in class and evaluated by the teacher.
The student will pass the subject per course when the average of the 4 notes is equal to or greater than 5.0.
The Ordinary Exam
In the final exam of the ordinary call students can choose to examine only those parts that are not compensated (i.ie. when the mark of the partial is <4.0). -
Non-continuous evaluation:The evaluation consists of a single test related to the whole subject.
The student can also be able to do the partial exams. So, at the time of the ordinary exam, it is enough to do the not compensated exam (mark <4). And the compensated exam mark is saved here.
Note:
Unless stated otherwise, continuous evaluation criteria will be applied to all students.
Anyone choosing non-continuous assessment must notify it to the lecturer within the class period of the subject. The option is only available if the student¿s participation in evaluation activities (from the continuous assessment) has not reached 50% of the total evaluation for the subject.
For the retake exam, the assessment type used for the final exam will remain valid.
Specifications for the resit/retake exam:
Same % as for the final exam for both continuous and non-continuous evaluation except for the exam on the continuous assessment in which the evaluation system remains.
Specifications for the second resit / retake exam:
The evaluation consists of a single test related to the whole subject being necessary to achieve the average of 5.0 in order to pass the subject.
9. Assignments, course calendar and important dates
| Not related to the syllabus/contents | |
|---|---|
| Hours | hours |
| Final test [PRESENCIAL][Assessment tests] | 5 |
| Unit 1 (de 6): Tensors and Tensor Fields | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Combination of methods] | 12 |
| Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 6 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 25.5 |
| Unit 2 (de 6): Stress Tensor | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Combination of methods] | 5 |
| Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 2.5 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 10.6 |
| Unit 3 (de 6): Continuum Kinematics | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Combination of methods] | 10 |
| Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 5 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 21.25 |
| Unit 4 (de 6): Fundamental Equations of Continuum Mechanics | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Combination of methods] | 7 |
| Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 3.5 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 14.9 |
| Unit 5 (de 6): Introduction to Contitutive Equations | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Combination of methods] | 2 |
| Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 1 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 4.3 |
| Unit 6 (de 6): Initial Boundary Value Problem - IBVP | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Combination of methods] | 4 |
| Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 2 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 8.45 |
| Global activity | |
|---|---|
| Activities | hours |
10. Bibliography and Sources
| Author(s) | Title | Book/Journal | Citv | Publishing house | ISBN | Year | Description | Link | Catálogo biblioteca |
|---|---|---|---|---|---|---|---|---|---|
| Chadwick, Peter | Continuum mechanics : concise theory and problems | Dover | 0-486-40180-4 | 1999 |
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| Chandrasekharaiah, D. S. | Continuum mechanics | Academic Press | 0-12-167880-6 | 0 |
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| Chaves, Eduardo W. V. | Mecánica del Medio Continuo: Problemas resueltos | CIMNE | 978-84-943307-5-9 | 2014 |
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| Chaves, Eduardo W. V. | Mecánica del medio continuo : (conceptos básicos) | CIMNE | 978-84-96736-38-2 | 2007 |
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| Chaves, Eduardo W. V. | Mécanica del medio continuo : modelos constitutivos | CIMNE | 978-84-96736-68-9 | 2009 |
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| Chaves, Eduardo W. V. | Notes on Continuum Mechanics | CIMNE/Springer | 978-94-007-5985-5 | 2013 | http://link.springer.com/book/10.1007%2F978-94-007-5986-2 | ||||
| Gurtin, Morton E. | An introduction to continuum mechanics | Academic Press | 0-12-309750-9 | 1981 |
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| Holzapfel, Gerhard A. | Nonlinear solid mechanics : a continuum approach for enginee | John Wiley & Sons | 0-471-82319-8 | 2000 |
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| Lai, Michae W. (1930) | Introduction to continuum mechanics | Butterworth-Heinemann | 978-0-7506-8560-3 | 2010 |
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| MASE, George E. | Teoría y problemas de mecánica del medio continuo | McGraw-Hill | 0-07-091668-3 | 1977 |
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| Malvern, Lawrence E. | Introduction to the mechanics of a continuous medium | Prentice-Hall | 0-13-487603-2 | 1969 |
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| Oliver, J. (Javier Oliver Olivella) | Mecánica de medios continuos para ingenieros | UPC | 84-8301-412-2 | 2000 |
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| Spencer, A.J.M. | Continuun mechanics | Dover | 0-486-43594-6 | 1980 |
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