A new adjustable localization operator method to compute local stresses and strains at notched bodies under multiaxial cyclic loading - ENSTA Bretagne - École nationale supérieure de techniques avancées Bretagne
Article Dans Une Revue International Journal of Fatigue Année : 2024

A new adjustable localization operator method to compute local stresses and strains at notched bodies under multiaxial cyclic loading

Résumé

Simplified methods for elastoplastic calculations offer a cost-effective and time-saving solution to determine the mechanical state at the notch tip of a structure. Recently, a method using an Adjustable Localization Operator (ALO) has been developed, drawing inspiration from Eshelby's inclusion problem. This method has demonstrated its efficiency in addressing various engineering challenges owing to its robustness and inherent ability to handle multiaxial conditions. This paper aims to propose an alternative non-linear formulation of the ALO method to improve the accuracy of mechanical state predictions. To achieve this goal, Buczynski-Glinka's heuristic, which provides a non-linear plasticity correction, is expressed within the framework of the ALO method to highlight the ingredients required for a non-linear plastic correction. Subsequently, the parameters of the ALO method are adjusted based on these findings. To validate the approach, two cases are studied: a notched structure under plain strain conditions, and a more complex saddle notched structure subjected to local multiaxial proportional loadings. In both cases, the non-linear ALO method has shown a greater capability to reproduce the finite element reference results compared to the linear version of the method or to energetic methods.
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Dates et versions

hal-04462695 , version 1 (16-02-2024)

Identifiants

Citer

Ewann Gautier, Bruno Levieil, Sylvain Calloch, Cédric Doudard. A new adjustable localization operator method to compute local stresses and strains at notched bodies under multiaxial cyclic loading. International Journal of Fatigue, 2024, 182, pp.108194. ⟨10.1016/j.ijfatigue.2024.108194⟩. ⟨hal-04462695⟩
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