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Bifurcation indicator for geometrically nonlinear elasticity using the Method of Fundamental Solutions
- Source :
- Comptes Rendus Mécanique, Comptes Rendus Mécanique, Elsevier, 2019, 347 (2), pp.91-100. ⟨10.1016/j.crme.2019.01.002⟩
- Publication Year :
- 2019
- Publisher :
- HAL CCSD, 2019.
-
Abstract
- International audience; In the present work, we propose a numerical analysis of instability and bifurcations for geometrically nonlinear elasticity problems. These latter are solved by using the Asymptotic Numerical Method (ANM) associated with the Method of Fundamental Solutions (MFS). To compute bifurcation points and to determine the critical loads, we propose three techniques. The first one is based on a geometrical indicator obtained by analyzing the Taylor series. The second one exploits the properties of the Padé approximants, and the last technique uses an analytical bifurcation indicator. Numerical examples are studied to show the efficiency and the reliability of the proposed algorithms
- Subjects :
- Work (thermodynamics)
Method of Fundamental Solutions
Strategy and Management
Nonlinear computation
Bifurcation indicator
02 engineering and technology
[SPI.MECA.MSMECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph]
Instability
symbols.namesake
0203 mechanical engineering
Media Technology
Taylor series
Applied mathematics
Padé approximant
Method of fundamental solutions
General Materials Science
Elasticity (economics)
Bifurcation
Mathematics
Marketing
Numerical analysis
[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]
Asymptotic Numerical Method
020303 mechanical engineering & transports
[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph]
symbols
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Comptes Rendus Mécanique, Comptes Rendus Mécanique, Elsevier, 2019, 347 (2), pp.91-100. ⟨10.1016/j.crme.2019.01.002⟩
- Accession number :
- edsair.doi.dedup.....0970369e4548e0869d960de3e6c278e5