 | |
| MECA0001-1 | Solid mechanics
 |
|
| Duration : | 30h Th, 30h Pr |
|
| Credits/ECTS : |
| Bachelor in engineering sciences, civil ingineer in architecture orientation, 2nd year | | Premier quadrimestre | | 5 |
|
| Bachelor in engineering sciences, civil engineer orientation (Bachelor in engineering sciences, civil engineer orientation), 2nd year | | Premier quadrimestre | | 5 |
|
| Master in Aerospatial Engineering, in-depth approach, 1st year | | Premier quadrimestre | | 5 |
|
| Master in Chemical Engineering and Materrial Sciences, in-depth approach, 1st year | | Premier quadrimestre | | 5 |
|
| Master in Geological and Mining Enginneering, in-deph approach, 1st year | | Premier quadrimestre | | 5 |
|
| Master in Engineering Physics, in-depth approach, 1st year | | Toute l'année | | 5 |
|
| Master in Aerospace Engineering, Professional Focus (Management), 1st year | | Premier quadrimestre | | 5 |
|
| Master in Chemical and Material Sciences, specialized approach, 1st year | | Premier quadrimestre | | 5 |
|
| Master in Geological and Mining Engineering, specialized approach, 1st year | | Premier quadrimestre | | 5 |
|
| Master in Engineering Physics, specialized approach, 1st year | | Toute l'année | | 5 |
|
|
|
| Holder(s) : | Serge Cescotto |
|
| Language : | Langue anglaise |
|
| Course contents : | The course contains three parts:
-
Elements of tensor calculus (8h).
With respect to vector calculus, tensor calculus is a new mathematical tool that plays a basic role in Solid Mechanics.
-
Basic notions of Solid Mechanics (36h).
Global and local equilibrium equation, stress and deformation notions, constitutive equations of a material and Hooke's law, strain energy and link with thermodynamics, virtual work, etc
(This point constitutes a links with the courses of Algebra and Mathematical Analysis: differential and integral calculations, partial derivative equation, variation calculation,...; with Thermodynamics: use of 1st and 2nd principles, of Gibbs' theorem; with Physics and Rational Mechanics: the notion of force, pressure, velocity, resultants, moments, couple, work, power,...)
-
Applications to some concrete cases (16h)
Tanks and pipes under pressure, contact between solids, torsion of prismatic bars, tension and bending of beams, corner shaped pieces, stress concentration,...
Course contents:
SM1 : Elements of tensor calculus (2h TH + 2h EX)
SM2 : Elements of tensor calculus (2h TH + 2h EX)
SM3 : Statics: equilibrium of solids (2h TH + 2h EX)
SM4 : Statics: stress tensor, infinitesimal equilibrium equations,... (2h TH + 2h EX)
SM5 : Statics: Mohr's circle (2h TH + 2h EX)
SM6 : Kinematics: displacements and strains, large strain tensors (2h TH + 2h EX)
SM7 : Kinematics: Cauchy strain tensor, Saint Venant's compatibility equations (2h TH + 2h EX)
SM8 : Virtual work principle (2h TH + 2h EX)
SM9 : Hooke's law (2h TH + 2h EX)
SM10 : Hooke's law (2h TH + 2h EX)
SM11 : Fundamental equations of linear elasticity (2h TH + 2h EX)
SM12 : 3D elastic problems: Kelvin, Boussinesq, Hertz (2h TH + 2h EX)
SM13 : Saint Venant's theory of torsion (2h TH + 2h EX)
SM14 : 2D elastic problems, Airy's function, applications in Cartesian coordinates (2h TH + 2h EX)
SM15 : 2D elastic problems, Airy's function, applications in polar coordinates (2h TH + 2h EX)
|
|
| Course objective : | This course establishes a link between the general courses of mathematics, physics, thermodynamics, etc. and a particular branch of engineering: solid mechanics. It pursues two objectives:
- Teaching the students how to exploit notions learnt in the general courses to approach a new field which implies blending these notions together and developing a synthetic and applied methodology.
- Giving the students the bases of solid mechanics and teaching them how to apply those to concrete cases of linear elasticity.
For the engineering students who are specializing in the domains of constructions, architecture, mechanics, aeronautics, biomedical engineering, this course will eventually be the fundament for some more specialized courses such as Mechanics of Materials, Mechanics of the Structures, Science of Materials, Biomechanics, etc.
For the others, it is an approach of the engineer's scientific methodology. It is also an opportunity to acquire the "basic vocabulary" that will help them to dialog with specialists. |
|
| Prerequisites : | Course of Genegal Physics, Course of Mathematical Analysis |
|
| Workshops : | Exercises sessions (2 h/week after the theory sessions).
All sessions take place at Sart-Tilman campus. |
|
| Organization : | 2 h of theory + 2 h of practice
1st term
Courses of theory and exercises sessions
- The courses of theory (in English) are ex-cathedra courses. Time for questions is allowed especially after each lesson or during pauses
- The active participation of students is required during exercises sessions (in French).
|
|
| Written notes : | Classbooks are available by AEES
- Reference books: NONE
- Obligatory Readings: NONE
- Suggested Readings: NONE
|
|
| Assessment : | Written open questions
Examination mode
Intermediate test (in French): solution of problems
Written exam (in French): open questions of theory (1 hour) and solution of problems (3 hours)
Authorized tools during test and exam:
- theory : none
- problems : any book
|
|
| Contacts : | Teacher: Prof. S. CESCOTTO, phone: 04366 92 46; Serge.Cescotto@ulg.ac.be
Secretary: Mrs TURCO, phone: 04366 92 60
Practical organization details: Mrs ZHANG Lihong, phone: 04366 94 40
Assistants: changing every year according to the number of students |
|
|
| |
