Smoothed peridynamics for the extremely large deformation and cracking problems: Unification of peridynamics and smoothed particle hydrodynamics

2021 ◽  
Author(s):  
Xiaoping Zhou ◽  
Wu‐Wen Yao ◽  
Filippo Berto
Keyword(s):  
Large Deformation ◽  
Smoothed Particle Hydrodynamics ◽  
Particle Hydrodynamics ◽  
Smoothed Particle

A STABLE LARGE DEFORMATION CORRECTED SPH METHOD BASED ON STABILIZED CONFORMING NODAL INTEGRATION AND LAGRANGIAN KERNELS

2012 ◽  
Vol 09 (04) ◽  
pp. 1250057
Author(s):  
S. WANG
Keyword(s):  
Large Deformation ◽  
Smoothed Particle Hydrodynamics ◽  
Solid Mechanics ◽  
Particle Methods ◽  
Sph Method ◽  
Nodal Integration ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Meshless Approximation ◽  
Complex Phenomena

In this paper, we propose a Galerkin-based smoothed particle hydrodynamics (SPH) formulation with moving least-squares meshless approximation, applied to solid mechanics and large deformation. Our method is truly meshless and based on Lagrangian kernel formulation and stabilized nodal integration. The performance of the methodology proposed is tested through various simulations, demonstrating the attractive ability of particle methods to handle severe distortions and complex phenomena.

Large Deformation Analysis by Smoothed Particle Hydrodynamics

2006 ◽  
Author(s):  
Yoichi Kawashima ◽  
Yuzuru Sakai ◽  
Nobuki Yamagata
Keyword(s):  
Large Deformation ◽  
Smoothed Particle Hydrodynamics ◽  
Particle Density ◽  
Deformation Analysis ◽  
Test Problems ◽  
Large Deformation Analysis ◽  
Elastic Plastic ◽  
Particle Hydrodynamics ◽  
Hyper Elastic ◽  
Smoothed Particle

Smoothed particle hydrodynamics (SPH)[1] is extended to the elastic-plastic large deformation analysis of metals and the hyper-elastic analysis of rubbers. The elastic-plastic analysis theory and the large deformation theory used in this study are fundamentally similar to those of FEM however the theories are applied at the particle points within a smoothing radius in SPH models. In this study the volume constant condition is imposed on the plastic deformation process using a pressure equation given by the particle density condition in a unit volume. Test problems show that the large deformation analysis by SPH leads to good stability and accuracy comparing with FEM results.

THREE-DIMENSIONAL PENETRATION SIMULATION USING SMOOTHED PARTICLE HYDRODYNAMICS

2007 ◽  
Vol 04 (04) ◽  
pp. 671-691 ◽  
Author(s):  
C. E. ZHOU ◽  
G. R. LIU ◽  
K. Y. LOU
Keyword(s):  
Large Deformation ◽  
Smoothed Particle Hydrodynamics ◽  
Impact Test ◽  
Three Dimensional ◽  
Hypervelocity Impact ◽  
Model Parameters ◽  
Computational Simulations ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Made In

This paper presents three-dimensional computational simulations of the hypervelocity impact (HVI) using standard smoothed particle hydrodynamics (SPH). The classic Taylor-Bar-Impact test is revisited with the focus on the variation of results corresponding to the different model parameters in the SPH implementation. The second example involves both normal and oblique HVIs of a sphere on the thin plate, producing large deformation of structures. Based on original experimental results and some numerical results reported previously, some comparisons are also made, in the hope of providing informative data on appropriate SPH implementation options for the software being developed. The results obtained show that the current SPH procedure is well suited for the HVI problems.

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