, INSA Lyon, tous droits réservés to guide new manufacturing processes in terms of solidification control in order to fabricate more reliable solar grade silicon wafers. In a future work, the modeling deserves a sophisticated investment, the better is to have a multi-scale constitutive law which is based on dislocation movement and evolution for macroscopic plastic flow determination, 2016.
,
, INSA Lyon, tous droits réservés Biblography, 2013.
Dislocations and plastic flow in the diamond structure, Solide State Physics, vol.22, pp.27-158, 1969. ,
Subcritical crack growth in silicon MEMS, Journal of Microelectromechanical Systems, vol.8, pp.319-327, 1999. ,
The deformation of plastically non-homogeneous materials, Philosophical Magazine, vol.21, pp.399-424, 1970. ,
, ASTM C 1161-02C Standard test method for flexural strength of sdvance ceramics at ambient temperature
Phonon emission induced dynamic fracture phenomena, Physical Review Letters, vol.106, p.85502, 2011. ,
Evaluation of the thermal phonon emission in dynamic fracture of brittle crystals, Physical Review B, vol.84, p.224307, 2011. ,
Dynamic fracture instabilities in brittle crystals generated by thermal phonon emission : Experiments and atomistic calculations, Journal of the Mechanics and Physcis of Solids, vol.60, pp.844-856, 2012. ,
Effect of relaxation and reconstruction on the electronic-energy-level structure of the Si(111) surface, Physical Review Letters, vol.34, pp.1337-1340, 1975. ,
,
Elastic crack growth in finite elements with minimal remeshing, INSA Lyon, tous droits réservés Biblography [BEL 99, vol.45, pp.601-620, 1999. ,
Dynamic crack surface instabilities initiated at dopants, Scripta Materialia, vol.75, pp.14-17, 2014. ,
Atomistic aspects of fracture, International Journal of Fracture, vol.191, pp.13-30, 2015. ,
Flexible silicon solar cells, Solar Energy Materials & Solar Cells, vol.93, pp.1440-1443, 2009. ,
Interaction of shear waves and propagating cracks, Physical Review Letters, vol.91, p.235502, 2003. ,
The brittle-to-ductile transition in silicon, Acta Metallurgica et Materialia, vol.41, pp.211-228, 1992. ,
Fracture of polycrystalline silicon, Materials Science and Engineering : A, vol.351, pp.166-173, 2003. ,
The bending deformation of magnesium oxide, Philosophical Magazine, vol.7, pp.1871-1885, 1962. ,
Analysis of stresses and breakage of crystalline silicon wafers during handling and transport, Solar Energy Materials & Solar Cells, vol.93, pp.1238-1247, 2009. ,
Threshold crack speed controls dynamical fracture of silicon single crystals, Physical Review Letters, vol.99, p.165502, 2007. ,
Enhanced assumed strain (eas) and assumed natural strain (ans) methods for one-point quadrature solid-shell elements, International Journal for Numerical Methods in Engineering, vol.75, issue.2, pp.156-187, 2008. ,
,
The fracture of single-crystal silicon under several liquid envoronments, INSA Lyon, tous droits réservés, vol.63, pp.225-226, 1980. ,
Materials characterization and structural design of ceramic micro turbomachinery, 1999. ,
Mixed-mode cleavage front branching at a high-angle grain boundary. Scripta Materialia, vol.56, pp.1027-1030, 2007. ,
Secondary cracking at grain boundaries in silicon thin films, Scripta Materialia, vol.57, pp.1069-1072, 2007. ,
Constitutive modeling of intrinsic silicon monocrystals in easy glide, Journal of Applied Physics, vol.107, p.33512, 2010. ,
A novel constitutive model for semiconductors : The case of silicon, Journal of the Mechanics and Physcis of Solids, vol.61, pp.2402-2432, 2013. ,
Grain boundary energies and cohesive strength as a function of geometry, Physical Review B, vol.77, p.144111, 2008. ,
Slow crack growth in single-crystal silicon, Science, vol.256, pp.1537-1539, 1992. ,
Precision measurement of the surface acoustic wave velocity on silicon single crystals using optical excitation and detection, The Journal of the Acoustical Society of America, vol.95, issue.2, pp.1158-1160, 1994. ,
Modern topics and challenges in dynamic fracture, Journal of the Mechanics and Physics of Solids, vol.53, pp.565-596, 2005. ,
Crack velocities during dynamic fracture of glass and single crystalline silicon, Physica Status Solidi A : Applications and Materials Science, vol.164, p.5, 1997. ,
Energy dissipation and path instabilities in dynamic fracture of silicon single crystals, Physical Review Letters, vol.85, pp.788-791, 2000. ,
Ein neues Verfahren zur Messung der Kristallisationsgeschwindigheit der Metalle, Zeitschrift für physikalische Chemie, vol.92, pp.219-221, 1918. ,
Multicrystalline silicon solar cells from RST ribbon process, Physica Status Solidi C, vol.9, pp.2092-2096, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00799872
Physical analyses of crystal plasticity by DD simulations, Scripta Materialia, vol.54, issue.5, pp.741-746, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00019068
Dynamic fragmentation of brittle materials : analytical mechanics-based models, Journal of the Mechanics and Physics of Solids, vol.49, pp.1181-1208, 2001. ,
Fracture anisotropy in silicon single crystal, Materials Science and Engineering : A, vol.268, pp.116-126, 1999. ,
Effect of mechanical surface damage on Silicon wafer strength, Procedia Engineering, vol.10, pp.1440-1445, 2011. ,
Use of digital image correlation technique to determine thermomechanical deformations in photovoltaic laminates : Measurements and accuracy, Solar Energy Materials & Solar Cells, vol.94, pp.1346-1351, 2010. ,
The channels and waters of the upper Salmon River area, Idaho. rapport, 1975. ,
The engineering of intrinsic pointdefects in silicon wafers and crystals, Materials Science and Engineering B, vol.73, pp.87-94, 2000. ,
On the properties of the intrinsic point defects in silicon : a perspective from crystal growth and wafer processing, Physica Status Solidi (b), vol.222, pp.219-244, 2000. ,
,
Intergranular fracture in nanocrystalline metals, INSA Lyon, tous droits réservés, vol.66, p.60101, 2002. ,
, Fraunhofer Institute for Solar Energy Systems, Photovoltaics report. rapport, 2016.
Failure analysis of brittle materials : advances in ceramics, 1990. ,
Dynamic fracture mechanics, 1990. ,
Biaxial fracture test of silicon wafers, Advanced Engineering Materials, vol.6, pp.594-598, 2004. ,
Handbook of Silicon Based {MEMS} Materials and Technologies, Micro and Nano Technologies, pp.253-293, 2015. ,
Dislocation loops at crack tips-nucleation and growth-an experimental-study in silicon, Materials Science and Engineering : A, vol.164, pp.118-134, 1993. ,
Experimental and theorical strain distributions for stationary and growing cracks, Journal of the Mechanics and Physics of Solids, vol.38, pp.87-113, 1990. ,
The phenomena of rupture and flow in solids, Philosophical Transactions of the Royal Society of London A : Mathematical, Physical and Engineering Sciences, vol.221, pp.163-198, 1921. ,
Electronic effects in the elastic constants of n-type silicon, Physical Review, vol.161, pp.756-761, 1967. ,
Dynamic fracture in single crystal silicon, Physical Review Letters, vol.82, pp.3823-3826, 1999. ,
Basic photovoltaic principles and methods, 1982. ,
Surface free energy model of silicon anisotropic etching, Journal of The Electrochemical Society, vol.140, p.1080, 1993. ,
The brittle-ductile transition in silicon, II. Interpretation. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, vol.421, pp.25-53, 1989. ,
Ideal brittle fracture of silicon studied with molecular dynamics, Physical Review Letters, vol.80, pp.746-749, 1998. ,
Dislocations in the diamond lattice, Journal of Physics and Chemistry of Solids, vol.5, pp.129-141, 1958. ,
WSXM : A software for scanning probe microscopy and a tool for nanotechnology, Review of Scientific Instruments, vol.78, p.13705, 2007. ,
Properties of crystalline silicon. Institution of Electrical Engineers, 1999. ,
Image analysis of polycrystalline solar cells and modelling of intergranular and transgranular cracking, Journal of the European Ceramic Society, vol.34, pp.2713-2722, 2014. ,
Surface energy of germanium and silicon, Journal of The Electrochemical Society, vol.31, p.524, 1963. ,
Applied photoelasticity for residual stress measurement inside crystal silicon wafers for solar applications, Strain, vol.52, pp.355-368, 2016. ,
The brittle-to-ductile transition in pre-cleaved silicon single crystals, Philosophical Magazine, vol.32, pp.1193-1212, 1975. ,
,
Improved multicrystalline silicon ingot crystal quality through seed growth for high efficiency solar cells, Progress in Photovoltaics : Research and Applications, vol.20, pp.735-746, 2012. ,
Spatial and orientational distribution of cracks in crystalline photovoltaic modules generated by mechanical load tests, Solar Energy Materials & Solar Cells, vol.95, pp.3054-3059, 2011. ,
Modeling and testing the mechanical strength of solar cells, Solar Energy Materials and Solar Cells, vol.120, pp.441-447, 2014. ,
Low-speed fracture instabilities in a britlle crystal, Nature, vol.455, pp.1224-1227, 2008. ,
Macroscopic scattering of cracks initiated at single impurity atoms, Nature Communications, vol.4, p.2441, 2013. ,
Breakage root cause analysis in as-cut monocrystalline silicon wafers. 29th European Photovoltaic Solar Energy Conference and Exhibition, 2014. ,
On the origin and formation of large defect clusters in multicrystalline silicon solar cells, Solar Energy Materials & Solar Cells, vol.120, pp.275-281, 2014. ,
Crack statistic of crystalline silicon photovoltaic modules. 26th European Photovoltaic Solar Energy Conference and Exhibition, 2011. ,
The risk of power loss in crystalline silicon based photovoltaic modules due to microcracks, Solar Energy Materials & Solar Cells, vol.95, pp.1131-1137, 2011. ,
Performance and reliability of photovoltaic systems-Subtask 3.2 : Review of failures of photovoltaic modules. rapport, pp.IEA-PVPS, 2014. ,
,
Effect of hydrogen content on the embrittlement in a Fe-Mn-C twinning-induced plasticity steel, Corrosion Science, vol.59, pp.277-281, 2012. ,
Intrinsic strength of silicon crystals in pure-and combined-mode fracture without precrack, American Physical Society, vol.98, p.195505, 2007. ,
Comparison of mode-resolved fracture strength of silicon with mixed-mode failure of diamond crystals, Engineering Fracture Mechanics, vol.77, pp.193-200, 2010. ,
Atomically sharp cracks in brittle solids : an electron microscopy study, Journal of Materials Science, vol.15, pp.1207-1223, 1980. ,
Mechanics of strength-degrading contact flaws in silicon, Journal of Materials Science, vol.16, pp.1769-1775, 1981. ,
Extended growth of subgrain-boundary-free silicon-on-insulator via thermal gradient variation, Applied Physics Letters, vol.44, pp.959-961, 1984. ,
Grain boundary segregation in metals, 2010. ,
Anisotropy in fracture of single crystal silicon film characterized under uniaxial tensile condition, Sensors and Actuators, A : Physical, vol.117, pp.143-150, 2005. ,
Cleavage, dislocation emission, and shielding for cracks under general loading, Acta Metallurgica, vol.34, pp.187-206, 1986. ,
Individual orientation measurements in quartz polycrystals-advantages and limitations for texture and petrophysical property determinations, Journal of Structural Geology, vol.15, pp.1169-1187, 1993. ,
Thermo-mechanical and fracture properties in single-crystal silicon, Journal of Materials Science, vol.48, pp.979-988, 2012. ,
,
Multicrystalline silicon for solar cells, INSA Lyon, tous droits réservés, vol.487, pp.179-187, 2005. ,
Fracture toughness and bond trapping of grain boundary cracks, Acta Materialia, vol.73, pp.1-11, 2014. ,
A Constitutive Model for the Mechanical Behavior of Single Crystal Silicon at Elevated Temperature, Symposium B ? U Materials Science of Microelectromechanical Systems (MEMS) Devices IV, vol.687, 2001. ,
Defects in crystals ,
Crack front waves, Journal of the Mechanics and Physics of Solids, vol.46, pp.467-487, 1998. ,
Perturbative simulations of crack front waves, Journal of the Mechanics and Physics of Solids, vol.48, pp.1229-1251, 2000. ,
Thermodynamics of solar-grade-silicon refining, Intermetallics, vol.11, pp.1111-1117, 2003. ,
Mesoscale modelling of the yield point properties of silicon crystals, Acta Materialia, vol.47, issue.1, pp.2879-2888, 1999. ,
High-cycle fatigue and durability of polycrystalline silicon thin films in ambient air, Sensors and Actuators A : Physical, vol.94, pp.177-188, 2001. ,
Mechanism of fatigue in micro-scale films of polycrystalline silicon for microelectromechanical systems, Applied Physics Letters, vol.80, pp.1532-1534, 2002. ,
A reaction-layer mechanism for the delayed failure of micro-scale polycrystalline silicon structural films subjected to high-cycle fatigue loading, Acta Materialia, vol.50, pp.3579-3595, 2002. ,
,
, Multiscale modelling framework for the fracture of thin brittle polycrystalline films : application to polysilicon, Computational Mechanics, vol.55, pp.73-91, 2015.
, Crystal growth of Si for solar cells, 2009.
Some geometrical relations in dislocated crystals, Acta Metallurgica, vol.1, pp.153-162, 1953. ,
The materials science of thin films, 1992. ,
Mechanical behavior of polycrystals and single crystals of silicon, Proceedings of the 7th International conference on the Strength of Metals and Alloys, vol.1, 1985. ,
On the yield point of floating-zone silicon single crystals I. Yield stresses ans activation parameters, Philosophical Magazine A, vol.55, pp.601-616, 1987. ,
A multi-physics and multi-scale numerical approach to microcracking and power-loss in photovoltaic modules, Composite Structures, vol.95, pp.630-638, 2013. ,
Fatigue degradation and electric recovery in Silicon solar cells embedded in photovoltaic modules, Scientific Reports, vol.4, p.4506, 2014. ,
A global/local approach for the prediction of the electric response of cracked solar cells in photovoltaic modules under the action of mechanical loads, Engineering Fracture Mechanics, 2016. ,
The virtual crack extension method for nonlinear material behavior, Computer Methods in Applied Mechanics and Engineering, vol.12, pp.353-364, 1977. ,
Macroscopic platic properties of dislocation free germanium and other semiconductor crystals. I. Yield behavior, Journal of Applied Physics, vol.34, pp.2788-2799, 1963. ,
Deformation and fracture of small silicon crystals, Acta Metallurgica, vol.5, pp.181-191, 1957. ,
,
An ab initio study of the cleavage anisotropy in silicon, INSA Lyon, tous droits réservés Biblography [PÉR 00a, vol.48, pp.4517-4530, 2000. ,
Directional anisotropy in the cleveage fracture of silicon, Physical Review Letters, vol.84, pp.5347-5350, 2000. ,
Failure of metals I : Brittle and ductile fracture, Acta Materialia, vol.107, pp.424-483, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01308255
Effect of silicon solar cell processing parameters and crystallinity on mechanical strength, Solar Energy Materials & Solar Cells, vol.95, pp.97-100, 2011. ,
Characterization of multicrystalline silicon sloar wafers fracture strength and influencing factors, International Journal of Material Science, vol.3, pp.9-17, 2013. ,
On size effect of cleavage cracking in polycrystalline thin films, Mechanics of Materials, vol.39, pp.746-752, 2007. ,
Resistance of through-thickness grain boundaries to cleveage cracking in silicon thin films, Scripta Materialia, vol.59, pp.251-254, 2008. ,
Properties of twin boundaries in silicon, Journal of The Electrochemical Society, vol.110, pp.52-56, 1963. ,
Dynamics and instabilities of planar tensile cracks in heterogeneous media, Physical Review Letters, vol.79, pp.877-880, 1997. ,
A finite element framework for the interplay between delamination and buckling of rubber-like bi-material systems and stretchable electronics, Journal of the European Ceramic Society, vol.36, pp.2371-2382, 2016. ,
The brittle-ductile transition in silicon. I. Experiments, Proceedings of the Royal Society of London. Series A, vol.64, pp.1-23, 1989. ,
Systematic investigation of cracks in encapsulated solar cells after mechanical loading, Solar Energy Materials and Solar Cells, vol.111, pp.82-89, 2013. ,
Structure and strength of grain boundaries in Si bicrystals with <111> twist misorientations, Materials Transactions-The Japan Institute of Metals, vol.31, pp.865-872, 1990. ,
Propagating solitary waves along a rapidly moving crack front, Nature, vol.410, pp.68-71, 2001. ,
Mechanical properties of MEMS materials. Semiconductor Device Research Symposium, pp.416-417, 2001. ,
Crack front waves and the dynamics of a rapidly moving crack, Physical Review Letters, vol.88, p.85503, 2002. ,
Comment on "Interaction of shear waves and propagating cracks, Physical Review Letters, vol.93, p.99601, 2004. ,
The shape and the energies of a dynamically propagating crack under bending, Journal of Materials Research, vol.18, pp.2379-2386, 2003. ,
Velocity dependent crack deflection in single crystal silicon, Scripta Materialia, vol.49, pp.551-555, 2003. ,
Dislocations deflect and perturb dynamically propagating cracks, Physical Review Letters, vol.93, p.265501, 2004. ,
From crack deflection to lattice vibrations-macro to atomistic examination of dynamic cleavage fracture, Journal of the Mechanics and Physics of Solids, vol.52, pp.1743-1761, 2004. ,
,
Dynamic instabilities in 111 silicon, Journal of the Mechanics and Physics of Solids, vol.56, pp.376-387, 2008. ,
Energy release rate along a three-dimensional crack front in a thermally stressed body, International Journal of Fracture, vol.30, pp.79-102, 1986. ,
Large local deflections of a dynamic crack front induced by intrinsic dislocations in brittle single crystals, Physical Review Letters, vol.89, p.235504, 2002. ,
SiC and Si3N4 inclusions in multicrystalline silicon ingots, Materials Science in Semiconductor Processing, vol.7, pp.39-43, 2004. ,
A method for dynamic crack and shear band propagation with phantom nodes, International Journal for Numerical Methods in Engineering, vol.67, pp.868-893, 2006. ,
A simple velocity gauge for measuring crack growth, International Journal of Fracture, vol.22, pp.47-50, 1983. ,
Monocrystalline cast silicon : a present and future technology, Third International Workshop on Crystalline Silicon Solar Cells, 2009. ,
Grain boundary segregation in multicrystalline silicon : correlative characterization by EBSD, EBIC, and atom probe tomography, Progress in Photovoltaics : Research and Applications, vol.23, 2015. ,
Laser singulation of thin wafer : Die strength and surface roughness analysis of 80¸tm80¸tm silicon dice, Optics and Lasers in Engineering, vol.47, pp.850-854, 2009. ,
The origin of the difference in the mechanical strengths of Czochralski-grown silicon and float-zone-grown silicon, Japanese Journal of Applied Physics, vol.19, pp.49-52, 1980. ,
Deformation behavior of silicon, Metallurgical and Materials Transactions A, vol.30, pp.1465-1479, 1999. ,
Creep and recoverry of silicon single crystals, Materials Science & Engineering, vol.10, pp.93-102, 1972. ,
Lattice trapping of fracture cracks, Journal of Applied Physics, vol.42, pp.3154-3160, 1971. ,
Chapter 1-Properties of Silicon. Handbook of Silicon Based {MEMS} Materials and Technologies (Second Edition), Micro and Nano Technologies, pp.3-17, 2015. ,
Size dependent fracture strength and cracking mechanisms in freestanding polycrystalline silicon films with nanoscale thickness, Engineering Fracture Mechanics, vol.168, pp.190-203, 2016. ,
, Zeitschrift für Physik, vol.114, pp.368-378, 1939.
On the flexural creep of single-crystal silicon, Scripta Materialia, vol.42, pp.769-774, 2000. ,
A statistical distribution function of wide applicability, Journal of Applied Physics, vol.18, pp.293-297, 1951. ,
Crack detection in photovoltaic cells by interferometric analysis of electronic speckle patterns, Solar Energy Materials & Solar Cells, vol.98, pp.216-223, 2012. ,
Dynamic weight functions for a moving crack. I. Mode I loading, Journal of the Mechanics and Physics of Solids, vol.43, pp.319-341, 1995. ,
Three-dimensional dynamic perturbation of a propagating crack, Journal of the Mechanics and Physics of Solids, vol.45, pp.591-610, 1997. ,
Defect and impurity distributions in traditionally cast multicrystalline and cast monocrystalline silicon for solar substrates, 2008. ,
,
Effect of crystal defects on mechanical properties relevant to cutting of multicrystalline solar silicon, INSA Lyon, tous droits réservés, vol.16, pp.1416-1421, 2013. ,
Molecular-dynamics simulation-based cohesive zone representation of intergranular fracture processes in aluminum, Journal of the Mechanics and Physcis of Solids, vol.54, pp.1899-1928, 2006. ,
Dynamics of static friction between steel and silicon, Proceedings of the National Academy of Sciences of the United States of America, vol.105, pp.13264-13268, 2008. ,
Dislocation dynamics in the plastic deformation of silicon crystals. I. Experiments, Physica Status Solidi A, vol.50, pp.685-693, 1978. ,
,
Stiffness and fracture analysis of photovoltaic grade silicon plates, International Journal of Solids and Structures, pp.355-369, 2016. ,
On the fracture of multi-crystalline silicon wafer, Journal of Physics D: Applied Physics, vol.47, p.475601, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01480271
Crack initiation behavior in single crystalline silicon, Scripta Materialia, vol.130, pp.83-86, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01913855
Under review. Conference and seminars L. Zhao, A. Maynadier, D. Nelias. Rigidity characterization and fracture analysis of the solar-grade multi-crystalline silicon plates at low temperature ,
URL : https://hal.archives-ouvertes.fr/hal-01532359
Influence of the manufacturing process on the high temperature behaviour of Photovoltaic Silicon Wafer loaded in bending ,
Characterization of the rigidity and fracture of photovoltaic grade silicon plates, Workshop on Reliability of Solar materials and Systems-2015. 26 mai 2015 ,