Solid Mechanics

Données Générales
Programme Académique	General Engineering Program			Responsable(s) Module : NOYEL Jean-Philippe
Type d'EC : Cours	Solid Mechanics (LIIAem05EMecSol)
TD : 6h00 TP : 8h00 Cours : 14h00 Travail personnel : 22h00 Durée totale: 50h00	Statut	Periode Semester 5	Langue d'enseignement : French

Objectifs Généraux
calculate stresses on simple structures (homogeneous distribution of stresses) build and use a Mohr circle in plane elasticity choose a dimensioning criterion according to the type of material used (brittle or ductile) determine strain from the deformation on simple structures (homogeneous distribution of strain) use a mechanical constitutive law in the context of isotropic elasticity solve a stress problem of thermal origin on simple structures (homogeneous distribution of stresses and strains). use finite element software: apply boundary conditions and differentiate results without in-depth analysis of the influence of mesh size and type of analysis

Objectifs Généraux

calculate stresses on simple structures (homogeneous distribution of stresses)
build and use a Mohr circle in plane elasticity
choose a dimensioning criterion according to the type of material used (brittle or ductile)
determine strain from the deformation on simple structures (homogeneous distribution of strain)
use a mechanical constitutive law in the context of isotropic elasticity
solve a stress problem of thermal origin on simple structures (homogeneous distribution of stresses and strains).
use finite element software: apply boundary conditions and differentiate results without in-depth analysis of the influence of mesh size and type of analysis

Contenu
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 analysis (strength of materials approach or finite element method). These courses enable you to choose a model, and to appreciate the influence of the modeling choices, then to analyze, interpret and justify the results. "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), ... "

Contenu

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 analysis (strength of materials approach or finite element method). These courses enable you to choose a model, and to appreciate the influence of the modeling choices, then to analyze, interpret and justify the results.
"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), ...
"

Prérequis
Intermediate level mathematics differential equations, tensors Mechanics: be able to write the equilibrium of a body

Bibliographie
J.P. Noyel - documents available on Moodle 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

Évaluation(s)
N°	Nature	Coefficient	Objectifs
1	Written exam	1	calculate stresses on simple structures (homogeneous distribution of stresses) build and use a Mohr circle in plane elasticity determine strain from the deformation on simple structures (homogeneous distribution of strain) use a mechanical constitutive law in the context of isotropic elasticity
2	Practical work	1	use finite element software: apply boundary conditions and differentiate results without in-depth analysis of the influence of mesh size and type of analysis
3	Written exam	2	all