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Adaptation élastoplastique de structures sous chargements variables avec règle d'écrouissage cinématique non linéaire et non associée

Abstract : The introduction of hardening into the study of elastoplastic shakedown analysis is considered in this work, in particular in the case of non associated plasticity. Due to the fact that the framework of generalized standard materials (GSM) is not well adapted in this list case, an alternative approach, provided by the concept of implicit standard materials (ISM), is then used. In particular, we study typical examples in elastoplastic shakedown by means of the ISM model through the theory of bipotential.
A first example of an homogeneous constant traction and alternating torsion state is considerad ; it is analyzed by using the step by step computations and then within the ISM framework. The obtain results for the shakedown factor as well as the back stresses are examined. The comparisation of the incremental method predictions to the analytical solution and the mathematical programmings ones, built by means of the bipotential approach, shows a very good agreement.
The second part of the study is devoted to thin shell structures. After observing that the numerical implementation of the static bound problem in the case of a linear limited kinematic hardening requires an explicit limitation of back stresses in order to obtain mechanical relevant solutions, it is shown that the framework of ISM allows to built a kinematic bound problem. The numerical implementation provides a very accurate bounding of the exact shakedown factor between the kinematic and static factors. Finally, a non linear kinematic hardening rule and a bipotential are built for the thin shell structures.
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https://tel.archives-ouvertes.fr/tel-00109296
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Submitted on : Tuesday, October 24, 2006 - 10:47:14 AM
Last modification on : Tuesday, November 24, 2020 - 2:18:04 PM
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Céline Bouby. Adaptation élastoplastique de structures sous chargements variables avec règle d'écrouissage cinématique non linéaire et non associée. Mécanique [physics.med-ph]. Université des Sciences et Technologie de Lille - Lille I, 2006. Français. ⟨tel-00109296⟩

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