A mesh-grading material point method and its parallelization for problems with localized extreme deformation

Lian, Yuan; Yang, Pengfei; Zhang, X.; Zhang, Fan; Liu, Yanfei; Huang, P. M.

doi:10.1016/j.cma.2015.02.020

Cited by 24 publications

(6 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“… Coupling DPD with other improved material point methods (e.g., GIMP [18], CPDI [19], DDMP [20], and mesh-grading material point method (MGMPM) [44]) might yield better results, particularly for more complicated geometries and systems with large strain rates or strain rate gradients. In the original MPM [15], the numerical error can be huge if no special treatment is used when a material point crosses a boundary on the background mesh, due to the use of local, linear shape functions.…”

Section: Discussionmentioning

confidence: 99%

Multiscale simulation of the responses of discrete nanostructures to extreme loading conditions based on the material point method

Jiang

Chen

Sewell

et al. 2015

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

A particle-based multiscale simulation procedure is being developed that includes a concurrent link between the Material Point Method (MPM) and Dissipative Particle Dynamics (DPD) and a hierarchical bridge from Molecular Dynamics (MD) to DPD. In this paper, an interfacial scheme is presented that can be used to effectively cast spatial discretization at different scales into a unified MPM framework. The advantage to the approach is that the interactions among discrete nanostructures under extreme loading conditions can be simulated without the need for master/slave nodes as required in the Finite Element Method and other similar mesh-based methods. The proposed multiscale simulation scheme is applied to representative cases: tensile extension of a single nanobar, isothermal compression of a cube-shaped nanoparticle in a highpressure fluid, and the behavior of nanosphere pairs and nanosphere-nanorod assemblies in a confining fluid for different initial arrangements of the components. The concurrent DPD/MPM results are in good qualitative agreement with the predictions obtained using a DPD-only description and all-atom MD, but require much less computational time as compared to all-atom

show abstract

Section: Discussionmentioning

confidence: 99%

Multiscale simulation of the responses of discrete nanostructures to extreme loading conditions based on the material point method

Jiang

Chen

Sewell

et al. 2015

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

show abstract

“…In this section, we use the material point method (MPM) to calculate the impact motion of the debris and a spacecraft (Gong et al 2012;Lian et al 2015). The material domain Ω can be discretized using a set of particles which is covered by the Eulerian background grid.…”

Section: Impact Motionmentioning

confidence: 99%

Evolution of space debris for spacecraft in the Sun-synchronous orbit

Jiang

Yue³

2020

Open Astronomy

View full text Add to dashboard Cite

In this paper, the evolution of space debris for spacecraft in the Sun-Synchronous orbit has been investigated. The impact motion, the evolution of debris from the Sun-Synchronous orbit, as well as the evolution of debris clouds from the quasi-Sun-Synchronous orbit have been studied. The formulas to calculate the evolution of debris objects have been derived. The relative relationships of the velocity error and the rate of change of the right ascension of the ascending node have been presented. Three debris objects with different orbital parameters have been selected to investigate the evolution of space debris caused by the Sun-Synchronous orbit. The debris objects may stay in quasi-Sun-Synchronous orbits or non-Sun-Synchronous orbits, which depend on the initial velocity errors of these objects.

show abstract

“…As shown in the previous works, the material point method (MPM), a particle-based method proposed by Sulsky et al, 26 has been developed to deal with several fracture and failure problems involving large deformation, contact and impact. [27][28][29][30] Recently, Kakouris and his co-workers coupled the PFM and MPM successfully and simulated the quasi-static and dynamic fracture behaviors. 31,32 Hu et al developed a coupled PFM-MPM for the fracture in geomaterials involving finite deformation.…”

Section: Introductionmentioning

confidence: 99%

A mixed three‐field total Lagrangian material point method for phase‐field fracture modeling of nearly incompressible rubber‐like solids

Zhang

et al. 2023

Numerical Meth Engineering

View full text Add to dashboard Cite

The rubber‐like solids, as commonly observed materials in nature and engineering areas, often show high extensibility and weak compressibility, which lead to difficulties for modeling the fracture behavior of these materials. In this paper, we propose a mixed three‐field total Lagrangian material point method (TLMPM) to deal with the fracture of nearly incompressible rubber‐like solids. In this method, the phase‐field method combining with perturbed Lagrangian approach is developed to describe the fracture of nearly incompressible materials. Based on the Lagrangian equation, the governing equations of the displacement, pressure and phase fields are derived for the system considering dynamic effect. Then, a mixed three‐field TLMPM discrete formulation with a remapping strategy is then built to solve the problem involving large deformation. Besides, a staggered solving scheme with explicit time integration is developed for the three‐field problem. The accuracy and capabilities of the proposed method for dealing with the fracture of incompressible materials are demonstrated by modeling several quasi‐static and dynamic numerical problems and comparing the results with other numerical methods and experiments. Moreover, the applicability of the method is further proved by an out‐of‐plane tearing case.

show abstract

A mesh-grading material point method and its parallelization for problems with localized extreme deformation

Cited by 24 publications

References 34 publications

Multiscale simulation of the responses of discrete nanostructures to extreme loading conditions based on the material point method

Multiscale simulation of the responses of discrete nanostructures to extreme loading conditions based on the material point method

Evolution of space debris for spacecraft in the Sun-synchronous orbit

A mixed three‐field total Lagrangian material point method for phase‐field fracture modeling of nearly incompressible rubber‐like solids

Contact Info

Product

Resources

About