1. Introduction#

This document aims to guide the user in implementing a limit analysis calculation with and complements the documentation available in on limit analysis which consists of:

  • reference document: [R7.07.01];

  • validation documents SSNV124A [V6.04.124] and SSNV146 [V6.04.124];

  • training document: Training section of the site www.code-aster.org

To do this*code_aster* uses:

  • a regularized kinematic approach (Norton-Hoff-Friaâ regularization method, cf. [1]) for the Von Mises resistance criterion (adjustment by a regularization coefficient whose limit value leads to convergence);

  • almost incompressible finite elements;

  • a static non-linear resolution by parametric control;

  • post-processing to obtain an estimate of the upper \({\lambda }_{\text{lim}}^{\text{sup}}\) and lower \({\mathrm{\lambda }}_{\text{lim}}^{\text{inf}}\) values that surround the limit value \({\lambda }_{\text{lim}}\).

This document is composed of three parts:

  1. the first part, which summarizes the main lines of the method and its properties;

  2. the second part, which presents the various steps required to implement it in code_aster;

  3. the third part which presents some implementation remarks based on the test case [V6.04.124] and on the industrial case aimed at determining the limit pressure for a Canopy tank joint.