- Modified Finite Particle Method: applications to elasticity and plasticity problems
- D. Asprone ; F. Auricchio ; A. Reali
- Book Title / Journal: International Journal of Computational Methods
- Year: 2013 , Volume: , Series:
- Structural Analysis
- Keywords: Meshless methods ; Particle methods
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- Approximation of incompressible large deformation elastic problems: some unresolved issues
- F. Auricchio ; L. Beirão da Veiga ; C. Lovadina ; A. Reali ; R. Taylor ; P. Wriggers
- Book Title / Journal: Computational Mechanics
- Year: 2013 , Volume: 52 , Series:
- Structural Analysis
- Keywords: Incompressible nonlinear elasticity ; Stability ; Mixed finite elements
- Description
- Several finite element methods for large deformation elastic problems in the nearly incompressible and purely incompressible regimes are considered. In particular, the method ability to accurately capture critical loads for the possible occurrence of bifurcation and limit points, is investigated. By means of a couple of 2D model problems involving a very simple neo-Hookean constitutive law, it is shown that within the framework of displacement/pressure mixed elements, even schemes that are inf-sup stable for linear elasticity may exhibit problems when used in the finite deformation regime.The roots of such troubles are identified but a general strategy to cure them is still missing. Furthermore,
a comparison with displacement-based elements,
especially of high order, is presented.
- Abstract
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- Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
- L.B. Veiga ; C. Lovadina ; A. Reali
- Book Title / Journal: Comput. Methods Appl. Mech. Engrg
- Year: 2012 , Volume: 241-244 , Series:
- Structural Analysis
- Keywords: Isogeometric analysis ; Timoshenko beam ; Collocation methods
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- Development of finite element tools for assisted seismic design.
- A. Reali
- Book Title / Journal:
- Year: 2005 , Volume: , Series:
- Earthquake engineering
- Description
- Development of finite element tools for assisted seismic design. A Project Submitted in Partial Fulfillment of Requirements for the Ph.D Degree in Earthquake Engineering, Istituto Universitario di Studi Superiori di Pavia.
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