Stabilized and variationally consistent nodal integration for meshfree modeling of impact problems

Springer Science and Business Media LLC - Tập 1 - Trang 245-256 - 2014
Michael Hillman1, Jiun-Shyan Chen1, Sheng-Wei Chi2
1Department of Structural Engineering, University of California, La Jolla, USA
2Department of Civil and Materials Engineering, University of Illinois, Chicago, USA

Tóm tắt

Galerkin meshfree methods can suffer from instability and suboptimal convergence if the issue of quadrature is not properly addressed. The instability due to quadrature is further magnified in high strain rate events when nodal integration is used. In this paper, several stable and convergent nodal integration methods are presented and applied to transient and large deformation impact problems, and an eigenvalue analysis of the methods is also provided. Optimal convergence is attained using variationally consistent integration, and stability is achieved by employing strain smoothing and strain energy stabilization. The proposed integration methods show superior performance over standard nodal integration in the wave propagation and Taylor bar impact problems tested.

Tài liệu tham khảo

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