Solid Mechanics

General Data
Academic program	General Engineering Program			:
Type d'EC	Classes
Lectures : 14h00 Tutorials : 6h00 Lab Work : 8h00 Total duration : 43h00	Status :	Period : SEMESTER 5	Education language : French

Learning Outcomes
"The objective of structural design courses (solid mechanics,strength of materials , and structural design practice) is to give the ability to carry out a study in the field of structural calculation (strength of materials approach or finite element method). These courses allow students to choose a modeling, (i.e. understanding the influence of modeling choices), then correctly analyze and interpret obtained results. Skills targeted by this course relate to understanding: - modeling the behavior of materials, - strain, stresses and design criteria "

Learning Outcomes

"The objective of structural design courses (solid mechanics,strength of materials
, and structural design practice) is to give the ability to carry out a study in the field of structural calculation (strength of materials approach or finite element method). These courses allow students to choose a modeling, (i.e. understanding the influence of modeling choices), then correctly analyze and interpret obtained results.
Skills targeted by this course relate to understanding:
- modeling the behavior of materials,
- strain, stresses and design criteria
"

Content
"Classes are given in the form of lectures and practical exercises done in tutorials. Practical works on an industrial finite element calculation software (ANSYS) make it possible to become familiar with a calculation model and illustrate the concepts seen in class; one session is notably devoted to the modeling of a pressurized cylinder in order to introduce the assumptions used for the calculation of thin vessels. Contents: Stress tensor: definition, normal stress and shear stress, local equilibrium equations, Mohr circles (3D and plane elasticity) principal stresses and maximum shear.. Tensor of infinitesimal strain: expression, physical meaning (normal strain and shear strain), Mohr circles, strain gauges. Constitutive law, isotropic linear elasticity (Hooke's law), thermal strains. Design criteria: yield stress criterion (von Mises, Tresca) , failure criterion (Rankine), ... "

Content

"Classes are given in the form of lectures and practical exercises done in tutorials.
Practical works on an industrial finite element calculation software (ANSYS) make it possible to become familiar with a calculation model and illustrate the concepts seen in class; one session is notably devoted to the modeling of a pressurized cylinder in order to introduce the assumptions used for the calculation of thin vessels.
Contents:
Stress tensor: definition, normal stress and shear stress, local equilibrium equations, Mohr circles (3D and plane elasticity) principal stresses and maximum shear..
Tensor of infinitesimal strain: expression, physical meaning (normal strain and shear strain), Mohr circles, strain gauges.
Constitutive law, isotropic linear elasticity (Hooke's law), thermal strains.
Design criteria: yield stress criterion (von Mises, Tresca) , failure criterion (Rankine), ...
"

Pre-requisites / co-requisites
Intermediate level mathematics differential equations, tensors

Bibliography
J.P. Noyel - Supports de cours mis à disposition sur l'Intranet ECAM. M. Fourar C. Chèze - “Mécanique des milieux déformables” ellipses C. bouvet, - “Mécanique des solides des matériaux et des structures aéronautiques” iSTe éditions M. Dupeux, - “Introduction à la mécanique des matériaux et des structures” Dunod

Assessment(s)
N°	Nature	Coefficient	Observable objectives
1	Check the acquisition of the concepts developed in class.	1	Written exam
2	Handling of a finite elementsoftware Interpretation of calculation results Understanding of the notions seen in class	1	Practical work
3	Check the acquisition of the concepts developed in class.	2	Written exam