Locking and its Treatment for Nonlinear Isogeometric Analysis

• Type: Article in International Conference Proceedings Book
• Date: 2013

Authors

Cardoso, RPR (Author) Other; José César de Sá (Author) FEUP

Conference proceedings International

Title: NUMISHEET 2014: THE 9TH INTERNATIONAL CONFERENCE AND WORKSHOP ON NUMERICAL SIMULATION OF 3D SHEET METAL FORMING PROCESSES: PART A BENCHMARK PROBLEMS AND RESULTS AND PART B GENERAL PAPERS

Pages: 768-771

9th International Conference and Workshop on Numerical Simulation of 3D Sheet Metal Forming Processes (NUMISHEET)

Melbourne, AUSTRALIA, JAN 06-10, 2014

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ISI Web of Knowledge - 0 Citations

Other information

Authenticus ID: P-00P-8X2

DOI: 10.1063/1.4850083

Abstract (EN): Isogeometric Analysis (IGA) has become very popular for the analysis of structures, fluids and fluid-structure interaction problems. IGA suffers from the same problems depicted by other numerical methods when dealing with constrained problems as those associated with handling of incompressibility or transverse shear effects on thin structures, giving rise to the well-known locking problems. In this work, some methodologies to alleviate locking problems in IGA will be presented. They include an analysis of the subspace of the constrained fields underlying the numerical solution and include projection techniques to extrapolate those field representations at points associated with reduced Gaussian integration rules. The basis functions used are grounded on Non-Uniform Rational B-Splines (NURBS), which are very popular on the solid modeling (CAD) community. The extension of the proposed locking remedies to nonlinear isogeometric analysis is also considered.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 4