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SCIENTIA SINICA Physica, Mechanica & Astronomica, Volume 47, Issue 7: 070014(2017) https://doi.org/10.1360/SSPMA2017-00023

Multiscale computation based on material point method

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  • ReceivedFeb 6, 2017
  • AcceptedFeb 21, 2017
  • PublishedJun 5, 2017
PACS numbers

Abstract

The multiscale computational methods have been paid wide attention to in recent years.Key issues in multiscale computation include the method to realize seamless transitionbetween molecular simulation method and continuum-based simulation methodand the method to construct micro- and meso-scopic computational models effectively and realistically.The meshfree particle methods, which have been developing fast in recent twenty years, especially the material point method (MPM),are focused on and successfully applied in many fields owing to the outstanding characteristics.The development of MPM and its derivative methods in the field of multiscale computation in recent years,which includes the algorithms of seamlessly connecting molecular dynamics and MPM,suppressing the reflection of high-frequency motionsand modeling micro- and meso-structures, and their applications,is summarized in this paper.The advantages of multiscale computational methods based on MPM are demonstrated.


Funded by

国家自然科学基金(11472153,11102097,10872107)

北京高等学校青年英才计划(YETP0111)


References

[1] 张雄, 廉艳平, 刘岩, 周旭. 物质点法. 北京: 清华大学出版社, 2013. Google Scholar

[2] Zhang X, Chen Z, Liu Y. The Material Point Method - A Continuum-Based Particle Method for Extreme Loading Cases. Academic Press, 2016. Google Scholar

[3] Sulsky D, Chen Z, Schreyer H L. A particle method for history-dependent materials. Comp Methods Appl Mech Eng, 1994, 118: 179-196 CrossRef Google Scholar

[4] Sulsky D, Zhou S J, Schreyer H L. Application of a particle-in-cell method to solid mechanics. Comp Phys Commun, 1995, 87: 236-252 CrossRef ADS Google Scholar

[5] Zhang X, Sze K Y, Ma S. An explicit material point finite element method for hyper-velocity impact. Int J Numer Meth Engng, 2006, 66: 689-706 CrossRef ADS Google Scholar

[6] Lian Y P, Zhang X, Liu Y. Coupling of finite element method with material point method by local multi-mesh contact method. Comp Methods Appl Mech Eng, 2011, 200: 3482-3494 CrossRef ADS Google Scholar

[7] Lian Y P, Zhang X, Liu Y. An adaptive finite element material point method and its application in extreme deformation problems. Comp Methods Appl Mech Eng, 2012, 241-244: 275-285 CrossRef ADS Google Scholar

[8] Cui X X, Zhang X, Zhou X, Liu Y, Zhang F. A coupled finite difference material point method and its application in explosion simulation. CMES: Computer Modeling in Engineering & Sciences, 2014, 98: 565599, doi: 10.3970/cmes.2014.098.565. Google Scholar

[9] Guo Z, Yang W. MPM/MD handshaking method for multiscale simulation and its application to high energy cluster impacts. Int J Mech Sci, 2006, 48: 145-159 CrossRef Google Scholar

[10] Lu H, Daphalapurkar N P, Wang B. Multiscale simulation from atomistic to continuum ?C coupling molecular dynamics (MD) with the material point method (MPM). Philos Mag, 2006, 86: 2971-2994 CrossRef Google Scholar

[11] Ma J, Lu H, Wang B, Hornung R, et al. Multiscale simulation using generalized interpolation material point (GIMP) method and molecular dynamics (MD). CMES: Computer Modeling in Engineering & Sciences, 2006, 14: 101117, doi: 10.3970/cmes.2006.014.101. Google Scholar

[12] Ma J, Wang B, Lu H, Roy S, et al. Multiscale simulations using generalized interpolation material point (GIMP) method and SAMRAI parallel processing. CMES: Computer Modeling in Engineering & Sciences, 2005, 8: 135152, doi: 10.3970/cmes.2005.008.135. Google Scholar

[13] He N, Liu Y, Zhang X. Molecular dynamics-smoothed molecular dynamics (MD-SMD) adaptive coupling method with seamless transition. Int J Numer Meth Engng, 2016, 108: 233-251 CrossRef ADS Google Scholar

[14] 贺年丰. 基于光滑分子动力学方法的多尺度方法研究. 博士学位论文, 清华大学, 2016. Google Scholar

[15] He N, Liu Y, Zhang X. Seamless Coupling of Molecular Dynamics and Material Point Method via Smoothed Molecular Dynamics. International Journal for Numerical Methods in Engineering(under review). Google Scholar

[16] Liu Y, Zhang X, Sze K Y, Wang M. Smoothed molecular dynamics for large step time integration. CMES: Computer Modeling in Engineering & Sciences, 2007, 20: 177191. Google Scholar

[17] Wang H K, Zhang X, Liu Y. Parallel smoothed molecular dynamics method and coupling with molecular dynamics (in Chinese). Chinese Journal of Computational Physics, 2008, 25: 718--724 . Google Scholar

[18] Hankui W, Xiong Z, Xinming Q. Adaptive smoothed molecular dynamics for multiscale modeling. Comp Mater Sci, 2009, 46: 713-715 CrossRef Google Scholar

[19] He N, Liu Y, Zhang X. An improved smoothed molecular dynamics method by alternating with molecular dynamics. Comp Methods Appl Mech Eng, 2015, 296: 273-294 CrossRef ADS Google Scholar

[20] Kelchner C L, Plimpton S J, Hamilton J C. Dislocation nucleation and defect structure during surface indentation. Phys Rev B, 1998, 58: 11085-11088 CrossRef ADS Google Scholar

[21] Jiang S, Chen Z, Sewell T D. Multiscale simulation of the responses of discrete nanostructures to extreme loading conditions based on the material point method. Comp Methods Appl Mech Eng, 2015, 297: 219-238 CrossRef ADS Google Scholar

[22] Ma J, Liu Y, Lu H, Komanduri R. Multiscale simulation of nanoindentation using the generalized interpolation material point (GIMP) method, dislocation dynamics (DD) and molecular dynamics (MD). CMES: Computer Modeling in Engineering & Sciences, 2006, 16: 4155, doi: 10.3970/cmes.2006.016.041. Google Scholar

[23] Ayton G, Bardenhagen S G, McMurtry P. Interfacing continuum and molecular dynamics: An application to lipid bilayers. J Chem Phys, 2001, 114: 6913-6924 CrossRef ADS Google Scholar

[24] Borodin O, Bedrov D, Smith G D. Multiscale modeling of viscoelastic properties of polymer nanocomposites. J Polym Sci B Polym Phys, 2005, 43: 1005-1013 CrossRef ADS Google Scholar

[25] Liu Y, Wang H K, Zhang X. A multiscale framework for high-velocity impact process with combined material point method and molecular dynamics. Int J Mech Mater Des, 2013, 9: 127-139 CrossRef Google Scholar

[26] Xue L, Borodin O, Smith G D. Modeling of enhanced penetrant diffusion in nanoparticle-polymer composite membranes. J Membrane Sci, 2006, 286: 293-300 CrossRef Google Scholar

[27] Xue L, Borodin O, Smith G D. Micromechanics simulations of the viscoelastic properties of highly filled composites by the material point method (MPM). Modelling Simul Mater Sci Eng, 2006, 14: 703-720 CrossRef ADS Google Scholar

[28] Wang H K, Liu Y, Zhang X. The carbon nanotube composite simulation by material point method. Comp Mater Sci, 2012, 57: 23-29 CrossRef Google Scholar

[29] Bardenhagen S G, Brydon A D, Guilkey J E. Insight into the physics of foam densification via numerical simulation. J Mech Phys Solids, 2005, 53: 597-617 CrossRef ADS Google Scholar

[30] Brydon A D, Bardenhagen S G, Miller E A. Simulation of the densification of real open-celled foam microstructures. J Mech Phys Solids, 2005, 53: 2638-2660 CrossRef ADS Google Scholar

[31] Daphalapurkar N P, Hanan J C, Phelps N B. Tomography and Simulation of Microstructure Evolution of a Closed-Cell Polymer Foam in Compression. Mech Adv Mater Struct, 2008, 15: 594-611 CrossRef Google Scholar

[32] Fu B, Luo H, Wang F. Simulation of the microstructural evolution of a polymer crosslinked templated silica aerogel under high-strain-rate compression. J Non-Crystalline Solids, 2011, 357: 2063-2074 CrossRef ADS Google Scholar

[33] Gong W W, Liu Y, Zhang X, Ma H L. Numerical Investigation on Dynamical Response of Aluminum Foam Subject to Hypervelocity Impact With Material Point Method. CMES: Computer Modeling in Engineering & Sciences, 2012, 83: 527545, doi: 10.3970/cmes.2012.083.527. Google Scholar

[34] Liu Y, Gong W, Zhang X. Numerical investigation of influences of porous density and strain-rate effect on dynamical responses of aluminum foam. Comp Mater Sci, 2014, 91: 223-230 CrossRef Google Scholar

[35] Liu P, Liu Y, Zhang X. Internal-structure-model based simulation research of shielding properties of honeycomb sandwich panel subjected to high-velocity impact. Int J Impact Eng, 2015, 77: 120-133 CrossRef Google Scholar

[36] Liu P, Liu Y, Zhang X. Improved shielding structure with double honeycomb cores for hyper-velocity impact. Mech Res Commun, 2015, 69: 34-39 CrossRef Google Scholar

[37] Liu P, Liu Y, Zhang X. Simulation of hyper-velocity impact on double honeycomb sandwich panel and its staggered improvement with internal-structure model. Int J Mech Mater Des, 2016, 12: 241-254 CrossRef Google Scholar

[38] 刘平. 蜂窝夹芯结构高速撞击的物质点法研究. 博士学位论文, 清华大学, 2010. Google Scholar

[39] Ai-Guo X, Guang-Cai Z, Ping Z. GENERAL: Dynamics and Thermodynamics of Porous HMX-like Material Under Shock. Commun Theor Phys, 2009, 52: 901-908 CrossRef ADS Google Scholar

[40] Xu A, Pan X F, Zhang G. Material-point simulation of cavity collapse under shock. J Phys-Condens Matter, 2007, 19: 326212 CrossRef ADS Google Scholar

[41] Xu A G, Zhang G C, Ying Y J, Zhu J S. Numerical Study on Porous Materials under Shock (in Chinese). Chinese Journal of Theoretical and Applied Mechanics, 2010, 42: 1138--1148 . Google Scholar

[42] Xu A, Zhang G, Li H. Dynamical similarity in shock wave response of porous material: From the view of pressure. Comp Math Appl, 2011, 61: 3618-3627 CrossRef Google Scholar

[43] Shen Y L, Li W, Sulsky D L. Localization of plastic deformation along grain boundaries in a hardening material. Int J Mech Sci, 2000, 42: 2167-2189 CrossRef Google Scholar

[44] Guilkey J E, Hoying J B, Weiss J A. Computational modeling of multicellular constructs with the material point method.. J Biomechanics, 2006, 39: 2074-2086 CrossRef PubMed Google Scholar

[45] Li F, Pan J, Sinka C. Modelling adhesive contact between fine particles using material point method. Mech Mater, 2011, 43: 157-167 CrossRef Google Scholar

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