Isogeometric Analysis Theory and Applications

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: closed (31 July 2020)

Special Issue Editors


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Guest Editor
School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
Interests: computational mechanics; numerical methods; isogeometric analysis; fracture mechanics; contact mechanics

Special Issue Information

Dear Colleagues,

Isogeometric analysis (IGA) is a recently developed computational approach, which has great potential to integrate finite element analysis into conventional NURBS-based CAD design tools. It, thus, bridges the gap between numerical analysis and geometry. Compared to the conventional finite element method, IGA coherently fuses both CAD and CAE fields and has demonstrated many merits, for example: exact geometry is maintained, high order continuity, flexible k-refinement and so on. IGA promises to revolutionize design and analysis processes for automobile, aerospace, and marine industry by eliminating the need for model conversion, approximation, and meshing.

The purpose of this Special Issue is to bring together experts from IGA theory and applications and is aimed at promoting a wider awareness throughout the IGA community of recent developments in this field. Articles focusing on novel contributions containing new theoretical insights, method developments, or applications are desired. Topics of interest for publication include but are not limited to:

  • New isogeometric analysis technologies;
  • Adaptive methods;
  • Phase field models;
  • Multiscale methods for fracture;
  • Contact mechanics;
  • Topological optimization;
  • Computational methods for crack detection;
  • Composite structures;
  • Modeling and simulation;
  • Numerical methods

Dr. Nhon Nguyen-Thanh
Prof. Dr. Timon Rabczuk
Guest Editors

Manuscript Submission Information

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Published Papers (1 paper)

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Research

25 pages, 2186 KiB  
Article
A Non-Intrusive Stochastic Isogeometric Analysis of Functionally Graded Plates with Material Uncertainty
by Shaima M. Dsouza, Tittu Mathew Varghese, P. R. Budarapu and S. Natarajan
Axioms 2020, 9(3), 92; https://0-doi-org.brum.beds.ac.uk/10.3390/axioms9030092 - 30 Jul 2020
Cited by 9 | Viewed by 2395
Abstract
A non-intrusive approach coupled with non-uniform rational B-splines based isogeometric finite element method is proposed here. The developed methodology was employed to study the stochastic static bending and free vibration characteristics of functionally graded material plates with inhered material randomness. A first order [...] Read more.
A non-intrusive approach coupled with non-uniform rational B-splines based isogeometric finite element method is proposed here. The developed methodology was employed to study the stochastic static bending and free vibration characteristics of functionally graded material plates with inhered material randomness. A first order shear deformation theory with an artificial shear correction factor was used for spatial discretization. The output randomness is represented by polynomial chaos expansion. The robustness and accuracy of the framework were demonstrated by comparing the results with Monte Carlo simulations. A systematic parametric study was carried out to bring out the sensitivity of the input randomness on the stochastic output response using Sobol’ indices. Functionally graded plates made up of Aluminium (Al) and Zirconium Oxide (ZrO2) were considered in all the numerical examples. Full article
(This article belongs to the Special Issue Isogeometric Analysis Theory and Applications)
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