SPH elastic dynamics

By J. Gray, Joseph J Monaghan, R. Swift. 2001

680 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/6aadce1afb02117551a08317dc614ca70fb9a567

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In Civil and Structural Engineering

In Computational Mechanics

Citations in the corpus

Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments (2010, methodology): “Monaghan proposed symmetrization formulations that were reported to have better effects [47] [48] [49].”
A stabilized Smoothed Particle Hydrodynamics, Taylor–Galerkin algorithm for soil dynamics problems (2013, background): “Later, Monaghan suggested applying an artificial force to control the tensile instability [48, 62].”
Numerical modelling of complex turbulent free‐surface flows with the SPH method: an overview (2007, methodology): “Besides, contrary to the repulsive forces presented in [3], the present formulation does not require any ad hoc coefficient.”
A numerical study of the SPH method for simulating transient viscoelastic free surface flows (2006, methodology): “The most successful has been the artificial stress method [44,45].”
Smooth particle hydrodynamics: status and future potential (2007, background): “, 2002) and elastoplastic flow (Chen, et al., 2001; Gray et al., 2001), magnetohydrodynamics (Meglicki, 1994; Price and Monaghan, 2004a; Price and Monaghan, 2004b), explosion (Liu et al.”
Enhancement of stability and accuracy of the moving particle semi-implicit method (2011, background): “[26] proposed artificial repulsive forces proportional to the fluid pressure and the stress tensor, respectively.”
Slope stability analysis using smoothed particle hydrodynamics (SPH) method (2015, methodology): “∂Wαβ ∂xj þFαi ð14Þ where Cij is the sum of the artificial viscosity term (Monaghan and Gingold, 1983) and the artificial stress term (Monaghan, 2000; Gray et al., 2001): Cαβij ¼ δijΠiþ RαijþRβij f αβ nAS ð15Þ where δij is Kronecker’s delta, ∏i is the artificial viscosity, Rαij and Rβij are the…”
A robust weakly compressible SPH method and its comparison with an incompressible SPH (2012, methodology): “In passing, it should be mentioned that within the scope of this work, the artificial stress method [35, 36] has also been considered and implemented”
SPH particle boundary forces for arbitrary boundaries (2009, background): “The term Rab is an anti-clumping term [5,10] which acts to prevent SPH particles clustering in pairs during a simulation.”
Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering (2016, methodology): “In the field of particle methods, Libersky et al. (1993) and Gray et al. (2001) applied the SPH method to dynamic problems of elastic body.”