Semi-Lagrangian reproducing kernel particle method for fragment-impact problems

By P. Guan, Sheng-Wei Chi, Jiun-Shyan Chen, T. Slawson, M. Roth. 2011

126 citations recorded by the source corpus.

Subfields: Computational Mechanics, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/063f986ada7cf7724439ce66161a58e840c74311

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In Computational Mechanics

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Meshfree Methods: Progress Made after 20 Years (2017, unknown): “Conversely, kernel contact (KC) algorithms (Chi et al. 2015; Guan et al. 2011) approximate the contact condition without relying on the predefined contact surfaces at the preprocessing stage.”
An arbitrary order variationally consistent integration for Galerkin meshfree methods (2013, background): “Examples include large deformation problems such as metal forming processes [1], moving discontinuities in fracture mechanics [2, 3], penetration processes [4], and earth moving simulations [5], among others.”
A level set enhanced natural kernel contact algorithm for impact and penetration modeling (2015, methodology): “As observed in Figure 7, the SNNI with a larger smoothing parameter ˇ has the less restrictive stability condition, and the discretization and integration methods have greater influence on the temporal stability when the velocity gradient is relatively small.”
Why do cracks branch? A peridynamic investigation of dynamic brittle fracture (2015, methodology): “Dynamic failure and fragmentation has also been studied with a semiLagrangian reproducing kernel particle method (RKPM) in Guan et al. (2011), where a stabilized nonconforming nodal is introduced.”
An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics (2016, methodology): “The wall is also modeled and is considered frictionless, and a kernel contact algorithm [41] is employed for the bar-wall interaction.”
A displacement smoothing induced strain gradient stabilization for the meshfree Galerkin nodal integration method (2015, methodology): “To enhance the ability of SCNI method in severe deformation analysis, a non-conforming SCNI method [15] was developed.”