@inproceedings{25b1d902b0674357876f70d2991d7d71,
title = "Semi-lagrangian galerkin reproducing kernel formulation and stability analysis for computational penetration mechanics",
abstract = "Stability analyses of Lagrangian and semi-Lagrangian reproducing particle methods using various domain integration methods are performed. The von Neumann stability analysis shows that both Lagrangian and semi-Lagrangian reproducing kernel discretizations of equation of motion are stable when they are integrated using stabilized conforming nodal integration in the weak forms. On the other hand, integrating the weak form of semi-Lagrangian equation of motion with a direct nodal integration yields an unstable discrete system which resembles the tensile instability in SPH. Stable time step estimation for Lagrangian reproducing kernel discretization shows enhanced stability when weak form is integrated by stabilized conforming nodal integration compared to that using direct nodal integration or 1-point Gauss integration. Penetration simulation is performed to demonstrate the applicability of the proposed method to large deformation and fragment impact problems.",
author = "Chen, \{J. S.\} and Y. Wu and Guan, \{P. C.\} and Danielson, \{Kent T.\} and Slawson, \{T. R.\}",
year = "2008",
doi = "10.1061/41000(315)47",
language = "English",
isbn = "9780784410004",
series = "Proceedings of 18th Analysis and Computation Speciality Conference - Structures Congress 2008: Crossing the Borders",
publisher = "American Society of Civil Engineers (ASCE)",
booktitle = "Proceedings of 18th Analysis and Computation Speciality Conference - Structures Congress 2008",
address = "United States",
note = "Proceedings of 18th Analysis and Computation Speciality Conference - Structures Congress 2008: Crossing the Borders ; Conference date: 24-04-2008 Through 26-04-2008",
}