# Deformable solid mechanics.

lmeca1100  2020-2021  Louvain-la-Neuve

Deformable solid mechanics.
Due to the COVID-19 crisis, the information below is subject to change, in particular that concerning the teaching mode (presential, distance or in a comodal or hybrid format).
5 credits
30.0 h + 30.0 h
Q1
Teacher(s)
Doghri Issam;
Language
French
Main themes
The objective of this course is to show how the theory of isotropic linear elasticity enables to solve a large class of problems stemming from the design of structures and equipments. Although the majority of industrial problems are solved nowadays with numerical software, it is essential that the student first learns how to solve analytically a number of simple problems and understands their physics. This is why the course will develop solutions related to bending, torsion, thermal stresses, buckling, etc. The theory of beams, commonly known as strength of materials, is a simplified theory which represents a very important particular case. Some methods for computing statically determinate or indeterminate beam structures are presented and several examples are studied.
Aims
 At the end of this learning unit, the student is able to : 1 In consideration of the reference table AA of the program "Masters degree in Mechanical Engineering", this course contributes to the development, to the acquisition and to the evaluation of the following experiences of learning: AA1.1, AA1.2, AA1.3 AA2.2, AA2.4, AA2.5 AA3.1, AA3.2 AA5.3, AA5.5, AA5.6 AA6.2, AA6.4 Analytical solutions of several problems of solid mechanics with the theory of isotropic linear elasticity. Use the theory of strength of materials to solve statically determinate or indeterminate beam problems.
Content
Chap. 1 Mechanics of deformable solids and isotropic linear elasticity.
Chap. 2 Variational formulations, work and energy theorems.
Chap. 3 Theory of beams (strength of materials).
Chap. 4 Stability and buckling of beams
Chap. 5 Vibrations of discrete systems with one degree of freedom
Chap. 6 Vibration of discrete systems with multiple degrees of freedom.                                                                                                           Chap. 7 Vibration of continuous elastic beams
Teaching methods

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

Sessions of hands - - -on problem solving take place in parallel with the course
Evaluation methods

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

Written examination
Bibliography
• Les notes de cours (syllabus et transparents) écrites par les enseignants sont disponibles sur moodle
• Doghri, Mechanics of deformable solids
• Meirovith, Analytical methods in Vibrations
• Tse, Morse, Hinkle, Mechanics Vibrations.
• Lalanne, Berthier, Der Hagopian, Mechanical Vibrations for Engineers.
• Craig R.R., Structural Dynamics.
• Dimaragonas, Vibration for Engineers.
• Geradin, Rixen, Théorie des Vibrations.  Matière : Dynamique appliquée : 50.14.
Faculty or entity
MECA
Force majeure
Evaluation methods
For the session of Januray 2021, the written examination will take place remotely. The details will be given to the students during the week of December 14th, 2020.

#### Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Sigle
Credits
Prerequisites
Aims
Master [120] in Mathematical Engineering

Minor in Mechanics

Specialization track in Mechanics

Minor in Engineering Sciences: Mechanics (only available for reenrolment)