Buckling and wrinkling of thin membranes by using a numerical solver based on multivariate Taylor series

Autor: Farid Abed-Meraim, Haitao Tian, Michel Potier-Ferry
Přispěvatelé: Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Guangdong Technion-Israel Institute of Technology, 241 Daxue Road, Shantou, Guangdong 515063, China, National Research Agency ANR (Labex DAMAS, Grant no. ANR-11-LABX-0008-01).China Scholarship Council., Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)-Arts et Métiers Sciences et Technologies, Guangdong Technion, Israel Institute of Technology
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Multivariate statistics
Discretization
Computer science
asymptotic numerical method
02 engineering and technology
Modélisation et simulation [Informatique]
[SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]
Space (mathematics)
Sciences de l'ingénieur
01 natural sciences
Physics::Fluid Dynamics
symbols.namesake
0203 mechanical engineering
Trefftz method
[SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph]
Taylor series
Applied mathematics
General Materials Science
buckling
0101 mathematics
Mécanique: Mécanique des structures [Sciences de l'ingénieur]
Applied Mathematics
Mechanical Engineering
Numerical analysis
Mécanique: Mécanique des solides [Sciences de l'ingénieur]
Mécanique: Matériaux et structures en mécanique [Sciences de l'ingénieur]
Solver
[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]
Condensed Matter Physics
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
Taylor meshless method
010101 applied mathematics
Condensed Matter::Soft Condensed Matter
020303 mechanical engineering & transports
Buckling
Mechanics of Materials
[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph]
Modeling and Simulation
symbols
wrinkling
Zdroj: International Journal of Solids and Structures
International Journal of Solids and Structures, Elsevier, 2021, 230-231, pp.111165. ⟨10.1016/j.ijsolstr.2021.111165⟩
ISSN: 0020-7683
Popis: Buckling and wrinkling of thin structures often lead to very complex response curves that are hard to follow by standard path-following techniques, especially for very thin membranes in a slack or nearly slack state. Many recent papers mention numerical difficulties encountered in the treatment of wrinkling problems, especially with path-following procedures and often these authors switch to pseudo-dynamic algorithms. Moreover, the numerical modeling of many wrinkles leads to very large size problems. In this paper, a new numerical procedure based on a double Taylor series is presented, that combines path-following techniques and discretization by a Trefftz method: Taylor series with respect to a load parameter (Asymptotic Numerical Method) and with respect to space variables (Taylor Meshless Method). The procedure is assessed on buckling benchmarks and on the difficult problem of a sheared rectangular membrane. National Research Agency ANR (Labex DAMAS, Grant No.ANR-11-LABX-0008-01). China Scholarship Council.
Databáze: OpenAIRE
Externí odkaz: