Nonlocal operator method with numerical integration for gradient solid
- verfasst von
- Huilong Ren, Xiaoying Zhuang, Timon Rabczuk
- Abstract
The nonlocal operator method (NOM) is initially proposed as a particle-based method, which has difficulties in imposing accurately the boundary conditions of various orders. In this paper, we converted the particle-based NOM into a scheme with approximation property. The new scheme describes partial derivatives of various orders at a point by the nodes in the support and takes advantage of the background mesh for numerical integration. The boundary conditions are enforced via the modified variational principle. The particle-based NOM can be viewed as a special case of NOM with approximation property when nodal integration is used. The scheme based on numerical integration greatly improves the stability of the method. As a consequence, the requirement of the operator energy functional in particle-based NOM is avoided. We demonstrate the capabilities of the proposed method by solving gradient elasticity problems and comparing the numerical results with exact solutions.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
- Externe Organisation(en)
-
Bauhaus-Universität Weimar
Tongji University
Ton Duc Thang University
- Typ
- Artikel
- Journal
- Computers and Structures
- Band
- 233
- ISSN
- 0045-7949
- Publikationsdatum
- 06.2020
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Tief- und Ingenieurbau, Modellierung und Simulation, Werkstoffwissenschaften (insg.), Maschinenbau, Angewandte Informatik
- Elektronische Version(en)
-
https://doi.org/10.1016/j.compstruc.2020.106235 (Zugang:
Geschlossen)
