A multiscale material point method for impact simulation

Chen, Zhen; Han, Yilong; Jiang, Shan; Gan, Yong; Sewell, Thomas D.

doi:10.1063/2.1205103

Cited by 15 publications

(8 citation statements)

References 14 publications

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“…However, the above simulations did not consider large deformation and they doi: 10.1007/s11431-015-5780-9 simplified the soft material. Furthermore, it is difficult to use the FEM in the modeling and simulation of material failure, since changing the material geometry in response to failure would require constant re-meshing [6]. In contrast to the FEM, some mesh-free methods such as the Galerkin method [7], smoothed particle hydrodynamics method [8], and material point method (MPM) [9] have been proposed.…”

Section: Introductionmentioning

confidence: 99%

Simulation of hard-soft material interaction under impact loading employing the material point method

Liu

Jiang

Chen

et al. 2015

Sci. China Technol. Sci.

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Understanding the mechanisms of hard-soft material interaction under impact loading is important not only in the defense industry but also in daily life. However, traditional mesh-based spatial discretization methods that are time consuming owing to the need for frequent re-meshing, such as the finite element method and finite difference method, can hardly handle large deformation involving failure evolution in a multi-phase interaction environment. The objective of this research is to develop a quasi-meshless particle method based on the material point method for the model-based simulation of the hard-soft material interaction response. To demonstrate the proposed procedure, scenarios of a hard-soft material impact test are considered, where a force is applied to layers of materials and a hard bar with an initial velocity impacts a target with layers of different materials. The stress wave propagation and resulting failure evolution are simulated and compared with available data. Future research tasks are then discussed on the basis of the preliminary results. material point method, hard-soft materials, impact, quasi-meshless particle method Citation: Liu H T, Jiang S, Chen Z, et al. Simulation of the hard-soft material interaction under impact loading with the material point method. Sci China Tech Sci,

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Section: Introductionmentioning

confidence: 99%

Simulation of hard-soft material interaction under impact loading employing the material point method

Liu

Jiang

Chen

et al. 2015

Sci. China Technol. Sci.

Self Cite

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“…Since its first introduction [1,2], the material point method has been used in many problems involving large material deformations [3,4,5,6,7,8] in which a traditional finite element method encounters difficulties due to mesh or element distortion. Although both the finite element method and the material point method seek approximate weak solutions to the partial differential equations, there are two significant differences that result in different numerical properties of the methods.…”

Section: Introductionmentioning

confidence: 99%

Material point methods applied to one-dimensional shock waves and dual domain material point method with sub-points

Dhakal¹,

Zhang²

2016

Journal of Computational Physics

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Using a simple one-dimensional shock problem as an example, the present paper investigates numerical properties of the original material point method (MPM), the generalized interpolation material point (GIMP) method, the convected particle domain interpolation (CPDI) method, and the dual domain material point (DDMP) method. For a weak isothermal shock of ideal gas, the MPM cannot be used with accuracy. With a small number of particles per cell, GIMP and CPDI produce reasonable results. However, as the number of particles increases the methods fail to converge and produce pressure spikes. The DDMP method behaves in an opposite way. With a small number of particles per cell, DDMP results are unsatisfactory. As the number of particles increases, the DDMP results converge to correct solutions, but the large number of particles needed for convergence makes the method very expensive to use in these types of shock wave problems in two-or three-dimensional cases. The cause for producing the unsatisfactory DDMP results is identified. A simple improvement to the method is introduced by using sub-points. With this improvement, the DDMP method produces high quality numerical solutions with a very small number of particles. Although in the present paper, the numerical examples are one-dimensional, all derivations are for multidimensional problems. With the technique of approximately tracking particle domains of CPDI, the extension of this sub-point method to multidimensional problems is straightforward. This new method preserves the conservation properties of the

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“…However, each of the hierarchical/sequential or multi-level refinement approaches just mentioned requires a transition region between different spatial scales, which limits their usefulness for the study of physical situations where discrete nano/micro structures (for example, nano/micro rods and beams in energetic composites) interact with each other. Recently, a particle-based multiscale procedure has been proposed wherein cluster dynamics (CD) is linked hierarchically with MD for sub-micron scale domains and concurrently with the MPM for simulations on larger scales [15]. The method was used to explore the longitudinal impact response between two metallic microrods with different nanostructures.…”

Section: Introductionmentioning

confidence: 99%

“…The method was used to explore the longitudinal impact response between two metallic microrods with different nanostructures. However, the CD method used in [15] relies on certain assumptions that limit the range of applicability, and much work remains to generalize the method to more realistic situations.…”

Section: Introductionmentioning

confidence: 99%

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A particle-based multiscale simulation procedure within the material point method framework

et al. 2014

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Recent studies of nano energetic composites have underscored the need for an effective multiscale procedure for simulating the responses of discrete nano and sub-micron structures and assemblies to impact loading. A particle-based simulation procedure is proposed with a concurrent link between the dissipative particle dynamics (DPD) method and the material point method (MPM), and a hierarchical bridge from molecular dynamics to DPD, in order to effectively discretize the multiphase interactions associated with multiscale failure evolution. The proposed procedure is illustrated using simulations of the dynamic and impact responses of discrete metallic nano structures. It is shown that the DPD forces can be effectively coarse-grained using the MPM background grid, and that the concurrent link between the MPM and DPD enables near-seamless integration of constitutive modeling at the continuum level with force-based modeling at the mesoparticle level. Additional improvements and applications that build on the current results are discussed.

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A multiscale material point method for impact simulation

Cited by 15 publications

References 14 publications

Simulation of hard-soft material interaction under impact loading employing the material point method

Simulation of hard-soft material interaction under impact loading employing the material point method

Material point methods applied to one-dimensional shock waves and dual domain material point method with sub-points

A particle-based multiscale simulation procedure within the material point method framework

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