Advanced Finite Elements: Theory, and Applications in Solid Mechanics and Structures

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: closed (28 February 2025) | Viewed by 1270

Special Issue Editor


E-Mail Website
Guest Editor
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Interests: finite element method; finite element analysis; solid mechanics; structural analysis; computational mechanics

Special Issue Information

Dear Colleagues,

We invite you to submit your latest research concerning the finite element method (FEM) to the Special Issue entitled ‘Advanced Finite elements: Theory and applications in solid mechanics and structures’. The FEM has been around for more than 70 years, and to date is still recognized as one of the most important numerical techniques for simulating solids and structures. Although the FEM has made great progress in the past decades, with the continuous exploration of science and technology, new challenging problems continue to emerge, and great efforts are still being devoted to developments of new principles, algorithms, schemes, and element models in order to improve the accuracy, efficiency, and robustness of the FEM. The purpose of the Special Issue is to disseminate the latest achievements to researchers and engineers in communities related to computation mechanics and computation engineering.

Topics of interest include, but are not limited to, the following topics:

  • Nonlinear finite element;
  • Smoothed finite element;
  • Hybrid/mixed finite element;
  • Unsymmetric finite element;
  • Non-conforming finite element;
  • Extended finite element;
  • H-/p- finite element;
  • Discontinuous Galerkin finite element;
  • FEM in multi-physical and multi-scale analysis;
  • FEM in aerospace/marine/civil/geological/biological engineering.

Dr. Yan Shang
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • nonlinear finite element
  • smoothed finite element
  • hybrid/mixed finite element
  • unsymmetric finite element
  • non-conforming finite element
  • extended finite element
  • h-/p- finite element
  • discontinuous Galerkin finite element
  • FEM in multi-physical and multi-scale analysis
  • FEM in aerospace/marine/civil/geological/biological engineering

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

16 pages, 8484 KiB  
Article
Stochastic Dynamic Buckling Analysis of Cylindrical Shell Structures Based on Isogeometric Analysis
by Qingqing Yu, Xiaojun Liu, Fei Xue, Zhenyu Guan, Yujie Guo and Jianjiang Zeng
Mathematics 2024, 12(17), 2742; https://doi.org/10.3390/math12172742 - 3 Sep 2024
Viewed by 973
Abstract
In this paper, we extend our previous work on the dynamic buckling analysis of isogeometric shell structures to the stochastic situation where an isogeometric deterministic dynamic buckling analysis method is combined with spectral-based stochastic modeling of geometric imperfections. To be specific, a modified [...] Read more.
In this paper, we extend our previous work on the dynamic buckling analysis of isogeometric shell structures to the stochastic situation where an isogeometric deterministic dynamic buckling analysis method is combined with spectral-based stochastic modeling of geometric imperfections. To be specific, a modified Generalized-α time integration scheme combined with a nonlinear isogeometric Kirchhoff–Love shell element is used to simulate the buckling and post-buckling problems of cylindrical shell structures. Additionally, geometric imperfections are constructed based on NURBS surface fitting, which can be naturally incorporated into the isogeometric analysis framework due to its seamless CAD/CAE integration feature. For stochastic analysis, the method of separation is adopted to model the stochastic geometric imperfections of cylindrical shells based on a set of measurements. We tested the accuracy and convergence properties of the proposed method with a cylindrical shell example, where measured geometric imperfections were incorporated. The ABAQUS reference solutions are also presented to demonstrate the superiority of the inherited smooth and high-order continuous properties of the isogeometric approach. For stochastic dynamic buckling analysis, we evaluated the buckling load variability and reliability functions of the cylindrical shell with 500 samples generated based on seven nominally identical shells reported in the geometric imperfection data bank. It is noted that the buckling load variability in the cylindrical shell obtained with static nonlinear analysis is also presented to show the differences between dynamic and static buckling analysis. Full article
Show Figures

Figure 1

Back to TopTop