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3. Pitfalls to avoid when using non-linear behavior laws
3.1 Resolution principle
After discussing laws for representing the non-linear behavior of civil engineering materials, and illustrating these with examples, this section looks at the integration of these models into a calculation code, more specifically within the framework of the Finite Element (FE) method.
In order to follow the evolution of the state of the structure under study and the non-linearities developing in the material, a classical approach consists in analyzing the problem incrementally. We move from a known "physical" state of structure i with the material characterized by variables (ε i , σ i , α i ), with α...
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Pitfalls to avoid when using non-linear behavior laws
Bibliography
Software tools
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Cast3M: a toolbox for solving systems of partial differential equations.
Websites
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Cast3M calculation code
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CEOS.fr National Project
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SMART project...
Events
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SMIRT International Conference: Structural Mechanics in Reactor Technology, held every two years (odd-numbered years).
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CIMNE Congress Bureau International Conference in Computational Plasticity. Fundamentals and Applications, is held every two years (odd-numbered...
Standards and norms
- FEMA, Prestandard. Commentary for the Seismic Rehabilitation of Buildings. Federal Emergency Management Agency, Washington, DC. - FEMA-356 - 2000
Regulations
Articles R. 563-1 to R. 563-8 of the Environment Code
Decree no. 2010-1254 of October 22, 2010
Article D. 563-8-1 of the French Environment Code
Directory
Laboratories – Design offices – Schools – Research centers (non-exhaustive list)
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CSTB Centre technique et scientifique du bâtiment
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The Ultimate Scientific and Technical Reference