Rapid Simulation of Laser Processing of Discrete Particulate Materials
Tóm tắt
The objective of this paper is to develop a computational model and corresponding solution algorithm to enable rapid simulation of laser processing and subsequent targeted zonal heating of materials composed of packed, discrete, particles. Because of the complex microstructure, containing gaps and interfaces, this type of system is extremely difficult to simulate using continuum-based methods, such as the Finite Difference Time Domain Method or the Finite Element Method. The computationally-amenable model that is developed captures the primary physical events, such as reflection and absorption of optical energy, conversion into heat, thermal conduction through the microstructure and possible phase transformations. Specifically, the features of the computational model are (1) a discretization of a concentrated laser beam into rays, (2) a discrete element representation of the particulate material microstructure and (3) a discrete element transient heat transfer model that accounts for optical (laser) energy propagation (reflection and absorption), its conversion into heat, the subsequent conduction of heat and phase transformations involving possible melting and vaporization. A discrete ray-tracking algorithm is developed, along with an embedded, staggered, iterative solution scheme, which is needed to calculate the optical-to-thermal conversion, particle-to-particle conduction and phase-transformations, implicitly. Numerical examples are given, focusing on concentrated laser beams and the effects of surrounding material conductivity, which draws heat away from the laser contact zone, thus affecting the targeted material state.
Tài liệu tham khảo
Ahmad Z, Rasekh M, Edirisinghe M (2010) Electrohydrodynamic direct writing of biomedical polymers and composites. Macromol Mater Eng 295:315–319
Alivisatos P (2004) The use of nanocrystals in biological detection. Nat Biotechnol 22(1):47–52
Allwood J (2005) What is sustainable manufacturing? Lecture, Cambridge University
Carbonell JM, Onate E, Suarez B (2010) Modeling of ground excavation with the particle finite element method. J Eng Mech 136:455–463
Choi S, Park I, Hao Z, Holman HY, Pisano AP, Zohdi TI (2010) Ultra-fast self-assembly of micro-scale particles by open channel flow. Langmuir 26(7):4661–4667
Choi S, Stassi S, Pisano AP, Zohdi TI (2010) Coffee-ring effect-based three dimensional patterning of micro, nanoparticle assembly with a single droplet. Langmuir 26(14):11690–11698
Choi S, Jamshidi A, Seok TJ, Zohdi TI, Wu MC, Pisano AP (2012) Fast, high-throughput creation of size-tunable micro, nanoparticle clusters via evaporative self-assembly in picoliter-scale droplets of particle suspension. Langmuir 28(6):3102–3111
Cerveny V, Molotkov IA, Psencik I (1977) Ray methods in seismology. Univerzita Karlova, Praha
Davis SH (2001) Theory of solidification. Cambridge University Press, Cambridge
Demko MT, Cheng JC, Pisano AP (2010) High-resolution direct patterning of gold nanoparticles by the microfluidic molding process. Langmuir 26(22):412–417
Demko M, Choi S, Zohdi TI, Pisano AP (2012) High resolution patterning of nanoparticles by evaporative self-assembly enabled by in-situ creation and mechanical lift-off of a polymer template. Appl Phys Lett 99:253102
Donev A, Cisse I, Sachs D, Variano EA, Stillinger F, Connelly R, Torquato S, Chaikin P (2004) Improving the density of jammed disordered packings using ellipsoids. Science 13(303):990–993
Donev A, Stillinger FH, Chaikin PM, Torquato S (2004) Unusually dense crystal ellipsoid packings. Phys Rev Lett 92:255506
Donev A, Torquato S, Stillinger F (2005) Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles. I. Algorithmic details. J Comput Phys 202:737
Donev A, Torquato S, Stillinger F (2005) Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles. II. Application to ellipses and ellipsoids. J Comput Phys 202:765
Donev A, Torquato S, Stillinger FH (2005) Pair correlation function characteristics of nearly jammed disordered and ordered hard-sphere packings. Phys Rev E, Stat Nonlinear Soft Matter Phys 71:011105
Dornfeld D, Wright P (2007) Technology wedges for implementing green manufacturing. Trans North Am Manuf Res Inst SME 35:193–200
Duran J (1997) Sands, powders and grains: an introduction to the physics of granular matter. Springer, Berlin
Elmore WC, Heald MA (1985) Physics of waves. Dover, New York
Fuller SB, Wilhelm EJ, Jacobson JM (2002) Ink-jet printed nanoparticle microelectromechanical systems. J Microelectromech Syst 11:54–60
Grigoropoulos CP (2009) Transport in laser microfabrication. Cambridge University Press, Cambridge
Gross H (ed) (2005) Handbook of optical systems: fundamental of technical optics. Wiley-VCH, New York
Gamota D, Brazis P, Kalyanasundaram K, Zhang J (2004) Printed organic and molecular electronics. Kluwer Academic, New York
Haruta M (2002) Catalysis of gold nanoparticles deposited on metal oxides. CaTTech 6(3):102–115
Ho C, Steingart D, Salminent J, Sin W, Rantala T, Evans J, Wright P (2006) Dispenser printed electrochemical capacitors for power management of millimeter scale lithium ion polymer microbatteries for wireless sensors. In: 6th international workshop on micro and nanotechnology for power generation and energy conversion applications (PowerMEMS 2006), Berkeley, CA
Huang D, Liao F, Molesa S, Redinger D, Subramanian V (2003) Plastic-compatible low-resistance printable gold nanoparticle conductors for flexible electronics. J Electrochem Soc 150(7):G412–G417
Kansaal A, Torquato S, Stillinger F (2002) Diversity of order and densities in jammed hard-particle packings. Phys Rev E, Stat Nonlinear Soft Matter Phys 66:041109
Ko SH, Park I, Pan H, Grigoropoulos CP, Pisano AP, Luscombe CK, Frechet JMJ (2007) Direct nanoimprinting of metal nanoparticles for nanoscale electronics fabrication. Nano Lett 7:1869–1877
Ko SH, Park I, Pan H, Misra N, Rogers MS, Grigoropoulos CP, Pisano AP (2008) ZnO nanowire network transistor fabrication by low temperature, all inorganic nanoparticle solution process. Appl Phys Lett 92:154102
Labra C, Onate E (2009) High-density sphere packing for discrete element method simulations. Commun Numer Methods Eng 25(7):837–849
Maier SA, Atwater HA (2005) Plasmonics: localization and guiding of electromagnetic energy in metal/dielectric structures. J Appl Phys 2005:98, 011101
Martin P (2009) Handbook of deposition technologies for films and coatings, 3rd edn. Elsevier, Amsterdam
Martin P (2011) Introduction to surface engineering and functionally engineered materials. Scrivener and Elsevier, Amsterdam
Nakanishi H, Bishop KJM, Kowalczyk B, Nitzan A, Weiss EA, Tretiakov KV, Apodaca MM, Klajn R, Stoddart JF, Grzybowski BA (2009) Photoconductance and inverse photoconductance in thin films of functionalized metal nanoparticles. Nature 2009(460):371–375
Niemz MH (2004) Laser tissue interactions-fundamentals and applications. Springer, Berlin
Onate E, Idelsohn SR, Celigueta MA, Rossi R (2008) Comput Methods Appl Mech Eng 197(19–20):1777–1800
Onate E, Celigueta MA, Idelsohn SR, Salazar F, Surez B (2011) Possibilities of the particle finite element method for fluid-soil-structure interaction problems. Comput Mech 48:307–318
Park J-U, Hardy M, Kang SJ, Barton K, Adair K, Mukhopadhyay DK, Lee CY, Strano MS, Alleyne AG, Georgiadis JG, Ferreira PM, Rogers JA (2007) High-resolution electrohydrodynamic jet printing. Nat Mater 6:782–789
Park I, Ko SH, Pan H, Grigoropoulos CP, Pisano AP, Frechet JMJ, Lee ES, Jeong JH (2008) Nanoscale patterning and electronics on flexible substrate by direct nanoimprinting of metallic nanoparticles. Adv Mater 20:489
Pöschel T, Schwager T (2004) Computational granular dynamics. Springer, Berlin
Reich-Weiser C, Vijayaraghavan A, Dornfeld DA (2008) Metrics for manufacturing sustainability. In: Proc IMSEC, ASME, Evanston, IL, October 7–10
Ridley BA, Nivi B, Jacobson JM (1999) All-inorganic field effect transistors fabricated by printing. Science 286:746–749
Rojek J, Labra C, Su O, Onate E (2012) Comparative study of different discrete element models and evaluation of equivalent micromechanical parameters. Int J Solids Struct 49:1497–1517. doi:10.1016/j.ijsolstr.2012.02.032
Rosen M, Dincer I, Kanoglu M (2008) Role of energy in increasing efficiency and sustainability and reducing environmental impact. Energy Policy 36:128–137
Samarasinghe SR, Pastoriza-Santos I, Edirisinghe MJ, Reece MJ, Liz-Marzan LM (2006) Printing gold nanoparticles with an electrohydrodynamic direct write device. Gold Bull 39:48–53
Sirringhaus H, Kawase T, Friend RH, Shimoda T, Inbasekaran M, Wu W, Woo EP (2000) High-resolution inkjet printing of all-polymer transistor circuits. Science 290:2123–2126
Wang JZ, Zheng ZH, Li HW, Huck WTS, Sirringhaus H (2004) Dewetting of conducting polymer inkjet droplets on patterned surfaces. Nat Mater 3:171–176
Steen WM (1998) Laser material processing. Springer, Berlin
Torquato S (2002) Random heterogeneous materials: microstructure & macroscopic properties. Springer, New York
Zohdi TI (2006) On the optical thickness of disordered particulate media. Mech Mater 38:969–981
Zohdi TI (2006) Computation of the coupled thermo-optical scattering properties of random particulate systems. Comput Methods Appl Mech Eng 195:5813–5830
Zohdi TI, Kuypers FA (2006) Modeling and rapid simulation of multiple red blood cell light scattering. J R Soc Interface 3(11):823–831
Zohdi TI (2012) Electromagnetic properties of multiphase dielectrics: a primer on modeling, theory and computation. Springer, Berlin
Zohdi TI (2004) A computational framework for agglomeration in thermo-chemically reacting granular flows. J R Soc Interface 460(2052):3421–3445
Zohdi TI (2005) Charge-induced clustering in multifield particulate flow. Int J Numer Methods Eng 62(7):870–898
Zohdi TI (2007) Computation of strongly coupled multifield interaction in particle-fluid systems. Comput Methods Appl Mech Eng 196:3927–3950
Zohdi TI (2010) On the dynamics of charged electromagnetic particulate jets. Arch Comput Methods Eng 17(2):109–135
Zohdi TI (2012) Dynamics of charged particulate systems: modeling, theory and computation. Springer, Berlin
Zohdi TI (2013) Numerical simulation of charged particulate cluster-droplet impact on electrified surfaces. J Comput Phys 233:509–526