TCSS5AD Continuum mechanics for solids and fluids
Duration : 30 hours
ECTS Credits : 3.5
Semester : S5
Person in charge :
Emmanuel Plaut, Professor, firstname.lastname@example.org
Keywords : Vectorial analysis, multi-variables functions, general mechanics
The fundamentals of continuum mechanics applied to elastic solids et Newtonian fluids
Program and Content :
• Elements of tensor calculus (independent study, if lack of time): algebra and tensor analysis: intrinsic definitions: calculations in curvilinear coordinates.
• Continuum model – Elementary kinematics: model boundaries: Lagrangian and Eulerian motion descriptions: characteristic lines.
• Advanced kinematics: study of deformations, Lagrangian and Eulerian studies, introduction to appropriate tensors.
• Balances of mass and motion – Constraints: introduction to the Cauchy stress tensor: Mohr representation.
• Elastic solids: law of linear elastic isotropic: linearised elasticity problems: displacement methods: Navier equation: constraints method.
• Kinetic energy balance – Elastic solids: potential elastic energy: conservative nature of the dynamics of elastic solids.
• Newtonian fluids: incompressible Newtonian fluid behavior law, Navier-Stokes equation, model of perfect fluid, kinetic energy balance: viscous dissipation, charge losses.
• Dimensional analysis and similarity: Vaschy – Buckingham theorem and principles: applications, especially with charge losses in pipe flow.
Description and operational verbs
Gestion des contenus