Mixed analytic/energetic approach for a sliding orthotropic hollow cylinder. Application to coil sagging
| Autor: | Daniel Weisz-Patrault, Maxime Gantier, Alain Ehrlacher |
|---|---|
| Přispěvatelé: | Laboratoire de mécanique des solides (LMS), École polytechnique (X)-MINES ParisTech - École nationale supérieure des mines de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Navier (navier umr 8205), Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)-École des Ponts ParisTech (ENPC)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2019 |
| Předmět: |
Materials science
Eigenstrain Residual stress Energetic approach 02 engineering and technology STRIPS Orthotropic material law.invention 0203 mechanical engineering orthotropy law [PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph] Shear stress medicine General Materials Science Coil sagging Computer simulation Applied Mathematics Mechanical Engineering Stiffness Mechanics 021001 nanoscience & nanotechnology Condensed Matter Physics 020303 mechanical engineering & transports Mechanics of Materials Electromagnetic coil Modeling and Simulation Deformation (engineering) medicine.symptom 0210 nano-technology |
| Zdroj: | International Journal of Solids and Structures International Journal of Solids and Structures, Elsevier, 2019, ⟨10.1016/j.ijsolstr.2019.01.029⟩ |
| ISSN: | 0020-7683 |
| Popis: | International audience; This paper deals with the numerical simulation of coil sagging. This problem arises within the framework of the steel making industry where strips are wound on themselves for storage. Coil sagging is a major defect that can occur for recent grades undergoing phase transitions during the coiling process. The detailed mechanisms leading to coil sagging are still not well understood, making this phenomenon very difficult to prevent. The coil is a multilayer hollow cylinder where sliding takes place at each interface and significantly contributes to the overall deformation. However, a detailed numerical simulation addressing the contact problem, considering both pressure and sliding is difficult to perform under non-axisymmetric conditions. This paper presents a simplified approach considering an orthotropic hollow cylinder instead of a multilayer coil. The anisotropy is due to contact roughness that tends to decrease the radial stiffness. The hollow cylinder is subjected to gravity and an eigenstrain representing thermal expansion, phase transitions and transformation induced plasticity. Sliding at each interface is taken into account through a continuous plastic-like shear strain that is determined through an energetic principle. The proposed solution relies on analytical developments so that computation time is compatible with parametric studies. Results are addressed in order to give a better understanding of mechanisms and conditions under which coil sagging occur. |
| Databáze: | OpenAIRE |
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