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Materials and Finite Elements (07_O-MEF) ​

  • Coefficient : 6
  • Hourly Volume: 150h (including 78h supervised)
    CM : 30h supervised
    TD : 16.5h supervised
    Labo : 22.5h supervised (and 6h unsupervised)
    TP : 9h supervised
    Out-of-schedule personal work : 66h

AATs Lists

Description ​

  1. Materials :
    • structure and behavior of materials
    • analog modeling
    • adaptive materials
    • choice of materials for design: Ashby method
    • practical work : - Non-linear behavior of metallic materials: case of traction. - Behavior of composites, materials with anisotropic behavior Characterization of metastable materials (AMF)
  2. Structural calculation and Finite Element Method
    • Study of 1D bar-type finite elements: application to lattice problems
    • Study of 1D beam-type finite elements: application to portal frame problems
    • Formulation of a mechanical problem based on the Principle of Virtual Works
    • Generalization and complex problems
    • Extension to 2D finite elements: plane heat transfer problem
    • practical work : - Lattice problems: using the RdM6 code - 3D problems: using Abaqus code

Learning Outcomes AAv (AAv) ​

  • AAv1 [heures: 15]: At the end of the semester, the S7 or S9 student will be able to correctly carry out material characterization tests and analyze and interpret the results obtained.

  • AAv2 [heures: 15, B1]: At the end of the semester, the S7 or S9 student will be able to describe in detail the main elements which characterize biosourced materials, distinguish then choose a sustainability criterion in relation to a notebook charges.

  • AAv3 [heures: 15, B1]: At the end of the semester, the S7 or S9 student will be able to choose a material in a justified manner according to given criteria.

  • AAv4 [heures: 15, B3]: At the end of the semester, the S7 or S9 student will be able to pose in detail the strong formulation of a thermal or mechanical problem and to express the associated weak formulation.

  • AAv5 [heures: 15, B3]: At the end of the semester, the S7 or S9 student will be able to interpolate in detail a scalar or vector field using shape functions (1D, 2D or 3D) .

  • AAv6 [heures: 15, B3]: At the end of the semester, the S7 or S9 student will be able to integrate a function in detail using Gaussian quadrature.

  • AAv7 [heures: 15, B3]: At the end of the semester, the S7 or S9 student will be able to calculate in detail the elementary mass and stiffness matrices.

  • AAv8 [heures: 15, B3]: At the end of the semester, the S7 or S9 student will be able to correctly assemble elementary matrices with a view to constructing the overall matrix.

  • AAv9 [heures: 15]: At the end of the semester, the S7 or S9 student will be able to correctly program explicit and implicit temporal integration schemes.

  • AAv10 [heures: 15, B3]: At the end of the semester, the S7 or S9 student will be able to carry out a modal analysis in detail.

  • AAv11 [heures: 15]: At the end of the semester, the S7 or S9 student will be able to correctly program a 1D elastoplasticity and 1D viscoelasticity problem.

  • AAv12 [heures: 15, B1]: At the end of the semester, the S7 or S9 student will be able to describe in detail the finite element technology for the cases of beams, shells, and the cases of interlocking (isochore and in transverse shear).

Assessment methods ​

Average of several assessment , homework, practical work, labs.

Key Words ​

Materials, Active materials, experimental characterization, behavioral laws, structural calculations, numerical approaches.

Prerequisites ​

Linear algebra, resolution of 1st order differential equations, resistance of materials, thermal, mechanical energies and numerical methods.

Resources ​