Two-scale Time Homogenization for Isotropic Viscoelastic- Viscoplastic Homogeneous Solids Under Large Numbers of Cycles

Haouala, Sarra;Doghri, Issam
(2013) Fatigue Design 2013, International Conference Proceedings

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Two-scaleTimeHomogenizationforIsotropicViscoelastic-ViscoplasticHomogeneousSolidsUnderLargeNumbersofCycles.pdf
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Abstract
A two-scale time homogenization approach for coupled viscoelastic-viscoplatic (VE-VP) homogeneous solids and structures subjected to large numbers of cycles, is proposed. The main aim is to give a description of the long time behaviour, by calculating the evolution of internal variables within the structure, while reducing the computational overhead. This method consists in decomposing the original VE-VP initial-boundary problem into coupled micro-chronological (fast time scale) and macro-chronological (slow time-scale) problems. The proposed methodology was implemented and studied for J2 VP coupled with VE using fully implicit time integration and a return-mapping algorithm. An illustration of the time homogenization on a simple case is presented and a good agreement with the reference solution is observed.
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Haouala, S., & Doghri, I. (2013). Two-scale Time Homogenization for Isotropic Viscoelastic- Viscoplastic Homogeneous Solids Under Large Numbers of Cycles. Fatigue Design 2013, International Conference Proceedings. https://hdl.handle.net/2078.5/189364