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5. Solving the non-linear system
The resolution of elastoplastic problems must satisfy, on the one hand, the overall balance between applied external forces and internal forces in the structure and, on the other hand, compliance with elastoplastic flow rules leading to a redistribution of internal stresses in the structure.
It is therefore necessary to carry out an incremental analysis, since the state of the structure depends on the loading history and the initial state of the structure.
5.1 Structural resolution: Newton-Raphson method
In order to follow the loading trajectory, the total load {F} is decomposed into a number of increments {ΔF}, small enough to ensure convergence (figure
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Solving the non-linear system
Applications
Bibliography
Software tools
ABAQUS – Dassault Systèmes
ANSYS , France
CAST3M – French Atomic Energy Commission,
...Standards and norms
EUROCODE 3. – Design of steel structures. Part 1-1: General rules and rules for buildings (EN 1993-1-1: 2005). CEN/TC 250, October 2005.
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