Tracing Nonlinear Equilibrium Paths of Structures Subjected to Thermal Loading |
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| Authors: | Evandro Parente Jr Aurea Silva de Holanda Silvana Maria Bastos Afonso da Silva |
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| Affiliation: | (1) Department of Structural Engineering, Federal University of Ceará, Campus do Pici, Bloco 710, 60455-760 Fortaleza, Ceará, Brazil;(2) Department of Transportation Engineering, Federal University of Ceará, Campus do Pici, Bloco 703, 60455-760 Fortaleza, Ceará, Brazil;(3) Department of Civil Engineering, Federal University of Pernambuco, Av. Acadêmico Hélio Ramos s/n, 50, 740-530 Recife, Pernambuco, Brazil |
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| Abstract: | This work presents numerical methods for path tracing and nonlinear stability analysis, including critical point computation and branch-switching, of structures subjected to thermal loading. The differences between the thermal loading case and the standard case of mechanical loading are addressed from both conceptual and computational standpoints. The implementation of the presented methods in a nonlinear finite element system originally designed to deal with mechanical loading is discussed in detail. The techniques presented here are validated by numerical examples. |
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