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The objective of the course is to show analytically -in simple cases- and numerically how to model and solve an important class of

so-called planar structures, i.e. such that their mechanical problem is reduced to two space dimensions.

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The problems involve " long " solids under plane strain, " thin " solids under plane stress and thin or thick plates under bending loads.

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For each class of problems, appropriate formulations will be developed, together with their finite element discretization, in view of

their numerical resolution using a specialized software.

Some rather simple problems will also be solved analytically in order to better understand the theory.

Content :

Chapitre 1 : Plane strain and plane stress in Cartesian coordinates.

Chapitre 2 : Plane strain and plane stress in cylindrical coordinates.

Chapitre 3 : Kirchhoff-Love plate theory in Cartesian coordinates.

Chapitre 4 : Kirchhoff-Love plate theory in cylindrical coordinates.

Chapitre 5 : Reissner-Mindlin plate theory.

Chapitre 6 : Finite element formulations of plate theories.

- Teacher: Doghri Issam
- Teacher: Naili Chiheb