Constitutive modeling of δ-phase zircaloy hydride based on strain rate dependent nanoindentation and nano-scale impact dataset

Wang, Hao; Thomas, Jonova; Okuniewski, Maria A.; Tomar, Vikas

doi:10.1016/j.ijplas.2020.102787

Constitutive modeling of δ-phase zircaloy hydride based on strain rate dependent nanoindentation and nano-scale impact dataset

Journal Article · Tue Jun 16 00:00:00 EDT 2020 · International Journal of Plasticity

DOI:https://doi.org/10.1016/j.ijplas.2020.102787· OSTI ID:1850508

Wang, Hao ^[1]; Thomas, Jonova ^[2]; Okuniewski, Maria A. ^[2]; Tomar, Vikas ^[2]

Purdue Univ., West Lafayette, IN (United States); Purdue Univ., West Lafayette, IN (United States)
Purdue Univ., West Lafayette, IN (United States)

In this work, a constitutive model for zircaloy-4 embedded with δ-phase hydride rim/blister structures (δ-phase zircaloy hydride) is presented. Nanoindentation and nano-scale impact experiments were performed on the δ-hydride blisters as a function of temperature in order to obtain strain rate dependent location specific constitutive response. A power law viscoplastic constitutive model was chosen to represent the strain rate dependent behavior. The strength coefficient and the strain hardening exponent in the power law relation were found to decrease with increase in temperature indicating softening behavior at higher temperatures. The strain rate exponent remained constant with increase in temperature indicating that the rate dependent ductility does not change significantly at higher temperatures. A finite element method based model was created to analyze the failure behavior and the ductile to brittle transition in zircaloy hydride. The model predicted that fracture strength of δ-phase zircaloy hydride decreases linearly with increase in temperature.

View Accepted Manuscript (DOE)

Research Organization:: Purdue Univ., West Lafayette, IN (United States)

Sponsoring Organization:: USDOE Office of Nuclear Energy (NE)

Grant/Contract Number:: NE0008558

OSTI ID:: 1850508

Alternate ID(s):: OSTI ID: 1643973

Journal Information:: International Journal of Plasticity, Journal Name: International Journal of Plasticity Journal Issue: C Vol. 133; ISSN 0749-6419

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (59)

Some observations on the deformation characteristics of bulk polycrystalline zirconium hydrides: Part 1 The deformation and fracture of hydrides based on the ?-phase Barraclough, K. G.; Beevers, C. J. Journal of Materials Science, Vol. 4, Issue 6 https://doi.org/10.1007/BF00550212	journal	June 1969
Mechanical properties of zirconium, titanium, and yttrium hydride alloys Lanin, A. G.; Zalivin, I. M.; Turchin, V. N. Strength of Materials, Vol. 16, Issue 6 https://doi.org/10.1007/BF01529980	journal	June 1984
Hydride embrittlement in ZIRCALOY-4 plate: Part II. interaction between the tensile stress and the hydride morphology Bai, J. B.; Ji, N.; Gilbon, D. Metallurgical and Materials Transactions A, Vol. 25, Issue 6 https://doi.org/10.1007/BF02652294	journal	June 1994
Fracture initiation at hydrides in zirconium Puls, M. P. Metallurgical Transactions A, Vol. 22, Issue 10 https://doi.org/10.1007/BF02664999	journal	October 1991
Finite element calculations of the accommodation energy of a misfitting precipitate in an elastic-plastic matrix Leitch, Brian W.; Puls, Manfred P. Metallurgical Transactions A, Vol. 23, Issue 3 https://doi.org/10.1007/BF02675557	journal	March 1992
Experimentally-validated mesoscale modeling of the coupled mechanical–thermal response of AP–HTPB energetic material under dynamic loading Hu, Ruize; Prakash, Chandra; Tomar, Vikas International Journal of Fracture, Vol. 203, Issue 1-2 https://doi.org/10.1007/s10704-016-0141-7	journal	July 2016
Indentation Hardness Measurements at Macro-, Micro-, and Nanoscale: A Critical Overview Broitman, Esteban Tribology Letters, Vol. 65, Issue 1 https://doi.org/10.1007/s11249-016-0805-5	journal	December 2016
Hydride embrittlement and irradiation effects on the hoop mechanical properties of pressurized water reactor (PWR) and boiling-water reactor (BWR) ZIRCALOY cladding tubes: Part I. Hydride embrittlement in stress-relieved, annealed, and recrystallized ZIRCALOYs at 20 °C and 300 °C Arsene, S.; Bai, J. B.; Bompard, P. Metallurgical and Materials Transactions A, Vol. 34, Issue 3 https://doi.org/10.1007/s11661-003-0091-3	journal	March 2003
The dilatational misfit of zirconium hydrides precipitated in zirconium Carpenter, G. J. C. Journal of Nuclear Materials, Vol. 48, Issue 3 https://doi.org/10.1016/0022-3115(73)90022-6	journal	October 1973
Fracture toughness of zirconium hydride and its influence on the crack resistance of zirconium alloys Simpson, L. A.; Cann, C. D. Journal of Nuclear Materials, Vol. 87, Issue 2-3 https://doi.org/10.1016/0022-3115(79)90567-1	journal	December 1979
The effects of hydride precipitates on the mechanical properties of zirconium-hydrogen alloys Gill, B. J.; Bailey, J. E.; Cotterill, P. Journal of the Less Common Metals, Vol. 40, Issue 1 https://doi.org/10.1016/0022-5088(75)90188-5	journal	March 1975
Effects of hydrogen content and temperature on fracture toughness of Zircaloy-4 Bertolino, G.; Meyer, G.; Perez Ipiña, J. Journal of Nuclear Materials, Vol. 320, Issue 3 https://doi.org/10.1016/S0022-3115(03)00193-4	journal	August 2003
The influence of hydride blisters on the fracture of Zircaloy-4 Pierron, O. N.; Koss, D. A.; Motta, A. T. Journal of Nuclear Materials, Vol. 322, Issue 1 https://doi.org/10.1016/S0022-3115(03)00299-X	journal	October 2003
Fracture strength of hydride precipitates in Zr–2.5Nb alloys Shi, S. -Q; Puls, M. P. Journal of Nuclear Materials, Vol. 275, Issue 3 https://doi.org/10.1016/S0022-3115(99)00132-4	journal	November 1999
Simulation of Berkovich nanoindentation experiments on thin films using finite element method Lichinchi, M.; Lenardi, C.; Haupt, J. Thin Solid Films, Vol. 312, Issue 1-2 https://doi.org/10.1016/S0040-6090(97)00739-6	journal	January 1998
Constitutive model for high strain rate response of polymeric composites Tsai, J.; Sun, C. T. Composites Science and Technology, Vol. 62, Issue 10-11 https://doi.org/10.1016/S0266-3538(02)00064-7	journal	August 2002
Solubility and kinetic properties of deuterium in single crystal Pd Chen, W. C.; Heuser, Brent J. Journal of Alloys and Compounds, Vol. 312, Issue 1-2 https://doi.org/10.1016/S0925-8388(00)01153-1	journal	November 2000
Analysis of the fracture behavior of a hydrided cladding tube at elevated temperatures by fracture mechanics Yamanaka, Shinsuke; Kuroda, Masatoshi; Setoyama, Daigo Journal of Alloys and Compounds, Vol. 330-332 https://doi.org/10.1016/S0925-8388(01)01492-X	journal	January 2002
Determination of the effective zero-point and the extraction of spherical nanoindentation stress–strain curves Kalidindi, Surya R.; Pathak, Siddhartha Acta Materialia, Vol. 56, Issue 14 https://doi.org/10.1016/j.actamat.2008.03.036	journal	August 2008
In situ micropillar deformation of hydrides in Zircaloy-4 Weekes, H. E.; Vorontsov, V. A.; Dolbnya, I. P. Acta Materialia, Vol. 92 https://doi.org/10.1016/j.actamat.2015.03.037	journal	June 2015
Behavior and failure of uniformly hydrided Zircaloy-4 fuel claddings between 25°C and 480°C under various stress states, including RIA loading conditions Le Saux, M.; Besson, J.; Carassou, S. Engineering Failure Analysis, Vol. 17, Issue 3 https://doi.org/10.1016/j.engfailanal.2009.07.001	journal	April 2010
Deterministic and stochastic analyses of fracture processes in a brittle microstructure system Tomar, Vikas; Zhou, Min Engineering Fracture Mechanics, Vol. 72, Issue 12 https://doi.org/10.1016/j.engfracmech.2004.06.006	journal	August 2005
Effect of interface chemistry and strain rate on particle-matrix delamination in an energetic material Prakash, Chandra; Gunduz, I. Emre; Oskay, Caglar Engineering Fracture Mechanics, Vol. 191 https://doi.org/10.1016/j.engfracmech.2018.01.010	journal	March 2018
Extended expanding cavity model for measurement of flow properties using instrumented spherical indentation Kang, Seung-Kyun; Kim, Young-Cheon; Kim, Kug-Hwan International Journal of Plasticity, Vol. 49 https://doi.org/10.1016/j.ijplas.2013.02.014	journal	October 2013
Geometrically necessary dislocation density measurements associated with different angles of indentations Dahlberg, C. F. O.; Saito, Y.; Öztop, M. S. International Journal of Plasticity, Vol. 54 https://doi.org/10.1016/j.ijplas.2013.08.008	journal	March 2014
Predicting flow curves of two-phase steels from spherical nanoindentation data of constituent phases: Isostrain method vs. non-isostrain method Seok, Moo-Young; Kim, Yong-Jae; Choi, In-Chul International Journal of Plasticity, Vol. 59 https://doi.org/10.1016/j.ijplas.2014.03.013	journal	August 2014
Sensitivity of the residual topography to single crystal plasticity parameters in Berkovich nanoindentation on FCC nickel Renner, E.; Gaillard, Y.; Richard, F. International Journal of Plasticity, Vol. 77 https://doi.org/10.1016/j.ijplas.2015.10.002	journal	February 2016
Studies of grain boundary regions in deformed polycrystalline aluminum using spherical nanoindentation Vachhani, Shraddha J.; Doherty, Roger D.; Kalidindi, Surya R. International Journal of Plasticity, Vol. 81 https://doi.org/10.1016/j.ijplas.2016.01.001	journal	June 2016
Relationship between damage and hardness profiles in ion irradiated SS316 using nanoindentation – Experiments and modelling Saleh, Michael; Zaidi, Zain; Ionescu, Mihail International Journal of Plasticity, Vol. 86 https://doi.org/10.1016/j.ijplas.2016.08.006	journal	November 2016
High temperature indentation based property measurements of IN-617 Zhang, Yang; Mohanty, Debapriya Pinaki; Seiler, Philipp International Journal of Plasticity, Vol. 96 https://doi.org/10.1016/j.ijplas.2017.05.007	journal	September 2017
Influence of severe straining and strain rate on the evolution of dislocation structures during micro-/nanoindentation in high entropy lamellar eutectics Maity, T.; Prashanth, K. G.; Balcı, Ö. International Journal of Plasticity, Vol. 109 https://doi.org/10.1016/j.ijplas.2018.05.012	journal	October 2018
Oblique cross-section nanoindentation for determining the hardness change in ion-irradiated steel Saleh, Michael; Xu, Alan; Hurt, Christopher International Journal of Plasticity, Vol. 112 https://doi.org/10.1016/j.ijplas.2018.08.015	journal	January 2019
Nanoindentation based properties of Inconel 718 at elevated temperatures: A comparison of conventional versus additively manufactured samples Wang, Hao; Dhiman, Abhijeet; Ostergaard, Halsey E. International Journal of Plasticity, Vol. 120 https://doi.org/10.1016/j.ijplas.2019.04.018	journal	September 2019
Nanoindentation study of bulk zirconium hydrides at elevated temperatures Nedim Cinbiz, M.; Balooch, Mehdi; Hu, Xunxiang Journal of Alloys and Compounds, Vol. 726 https://doi.org/10.1016/j.jallcom.2017.07.319	journal	December 2017
Investigation of elevated-temperature mechanical properties of δ-hydride precipitate in Zircaloy-4 fuel cladding tubes using nanoindentation Suman, Siddharth; Khan, Mohd. Kaleem; Pathak, Manabendra Journal of Alloys and Compounds, Vol. 726 https://doi.org/10.1016/j.jallcom.2017.07.321	journal	December 2017
Atomistic analyses of the effect of temperature and morphology on mechanical strength of Si–C–N and Si–C–O nanocomposites Tomar, Vikas; Gan, Ming; Kim, Han Sung Journal of the European Ceramic Society, Vol. 30, Issue 11 https://doi.org/10.1016/j.jeurceramsoc.2010.03.002	journal	August 2010
Experimental studies of mechanical properties of solid zirconium hydrides Puls, M. P.; Shi, San-Qiang; Rabier, J. Journal of Nuclear Materials, Vol. 336, Issue 1 https://doi.org/10.1016/j.jnucmat.2004.08.016	journal	January 2005
Revisiting the method to obtain the mechanical properties of hydrided fuel cladding in the hoop direction Martín-Rengel, M. A.; Gómez Sánchez, F. J.; Ruiz-Hervías, J. Journal of Nuclear Materials, Vol. 429, Issue 1-3 https://doi.org/10.1016/j.jnucmat.2012.06.003	journal	October 2012
Formation and characterization of hydride blisters in Zircaloy-4 cladding tubes Hellouin de Menibus, Arthur; Auzoux, Quentin; Dieye, Ousmane Journal of Nuclear Materials, Vol. 449, Issue 1-3 https://doi.org/10.1016/j.jnucmat.2014.03.006	journal	June 2014
Nanoindentation measurements of the mechanical properties of zirconium matrix and hydrides in unirradiated pre-hydrided nuclear fuel cladding Rico, A.; Martin-Rengel, M. A.; Ruiz-Hervias, J. Journal of Nuclear Materials, Vol. 452, Issue 1-3 https://doi.org/10.1016/j.jnucmat.2014.04.045	journal	September 2014
Effects of hydride morphology on the embrittlement of Zircaloy-4 cladding Kim, Ju-Seong; Kim, Tae-Hoon; Kook, Dong-Hak Journal of Nuclear Materials, Vol. 456 https://doi.org/10.1016/j.jnucmat.2014.09.025	journal	January 2015
Study of the mechanical behavior of the hydride blister/rim structure in Zircaloy-4 using in-situ synchrotron X-ray diffraction Lin, Jun-li; Han, Xiaochun; Heuser, Brent J. Journal of Nuclear Materials, Vol. 471 https://doi.org/10.1016/j.jnucmat.2015.12.048	journal	April 2016
Micro-scale fracture experiments on zirconium hydrides and phase boundaries Chan, H.; Roberts, S. G.; Gong, J. Journal of Nuclear Materials, Vol. 475 https://doi.org/10.1016/j.jnucmat.2016.03.026	journal	July 2016
Obtention of the constitutive equation of hydride blisters in fuel cladding from nanoindentation tests Martin Rengel, M. A.; Gomez, F. J.; Rico, A. Journal of Nuclear Materials, Vol. 487 https://doi.org/10.1016/j.jnucmat.2017.02.001	journal	April 2017
High temperature nanoindentation hardness and Young's modulus measurement in a neutron-irradiated fuel cladding material Kese, K.; Olsson, P. A. T.; Alvarez Holston, A. -M. Journal of Nuclear Materials, Vol. 487 https://doi.org/10.1016/j.jnucmat.2017.02.014	journal	April 2017
Hydrogen in zirconium alloys: A review Motta, Arthur T.; Capolungo, Laurent; Chen, Long-Qing Journal of Nuclear Materials, Vol. 518 https://doi.org/10.1016/j.jnucmat.2019.02.042	journal	May 2019
Internal friction peaks associated with the behaviour of hydrogen in Zr and Zr–2.5Nb Pan, Z. L.; Puls, M. P. Materials Science and Engineering: A, Vol. 442, Issue 1-2 https://doi.org/10.1016/j.msea.2006.02.211	journal	December 2006
Microstructure-property relationship for AISI 304/308L stainless steel laser weldment Mao, Keyou; Wang, Hao; Wu, Yaqiao Materials Science and Engineering: A, Vol. 721 https://doi.org/10.1016/j.msea.2018.02.092	journal	April 2018
An investigation into environment dependent nanomechanical properties of shallow water shrimp (Pandalus platyceros) exoskeleton Verma, Devendra; Tomar, Vikas Materials Science and Engineering: C, Vol. 44 https://doi.org/10.1016/j.msec.2014.08.033	journal	November 2014
An investigation into mechanical strength of exoskeleton of hydrothermal vent shrimp ( Rimicaris exoculata ) and shallow water shrimp ( Pandalus platyceros ) at elevated temperatures Verma, Devendra; Tomar, Vikas Materials Science and Engineering: C, Vol. 49 https://doi.org/10.1016/j.msec.2015.01.003	journal	April 2015
Mechanical properties of zirconium alloys and zirconium hydrides predicted from density functional perturbation theory Weck, Philippe F.; Kim, Eunja; Tikare, Veena Dalton Transactions, Vol. 44, Issue 43 https://doi.org/10.1039/C5DT03403E	journal	January 2015
AFM nanoindentation: tip shape and tip radius of curvature effect on the hardness measurement Calabri, L.; Pugno, N.; Menozzi, C. Journal of Physics: Condensed Matter, Vol. 20, Issue 47 https://doi.org/10.1088/0953-8984/20/47/474208	journal	November 2008
Analyses of the role of the second phase SiC particles in microstructure dependent fracture resistance variation of SiC-Si ₃ N ₄ nanocomposites Tomar, Vikas Modelling and Simulation in Materials Science and Engineering, Vol. 16, Issue 3 https://doi.org/10.1088/0965-0393/16/3/035001	journal	March 2008
A New Approach to Measuring Transverse Properties of Structural Tubing by a Ring Test Petersen, Dr; Link, Re; Arsene, S. Journal of Testing and Evaluation, Vol. 24, Issue 6 https://doi.org/10.1520/JTE11461J	journal	January 1996
An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments Oliver, W. C.; Pharr, G. M. Journal of Materials Research, Vol. 7, Issue 06, p. 1564-1583 https://doi.org/10.1557/JMR.1992.1564	journal	June 1992
A simple predictive model for spherical indentation Field, J. S.; Swain, M. V. Journal of Materials Research, Vol. 8, Issue 2 https://doi.org/10.1557/JMR.1993.0297	journal	February 1993
On the determination of spherical nanoindentation stress–strain curves Basu, Sandip; Moseson, Alexander; Barsoum, Michel W. Journal of Materials Research, Vol. 21, Issue 10 https://doi.org/10.1557/jmr.2006.0324	journal	October 2006
High-strain-rate nanoindentation behavior of fine-grained magnesium alloys Somekawa, Hidetoshi; Schuh, Christopher A. Journal of Materials Research, Vol. 27, Issue 9 https://doi.org/10.1557/jmr.2012.52	journal	March 2012
Strain rate sensitivity, temperature sensitivity, and strain hardening during the isothermal compression of BT25y alloy Yang, Xuemei; Guo, Hongzhen; Yao, Zekun Journal of Materials Research, Vol. 31, Issue 18 https://doi.org/10.1557/jmr.2016.294	journal	August 2016

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36 MATERIALS SCIENCE
42 ENGINEERING
Engineering
Fracture strength
Materials Science
Mechanics
Nano-scale impact
Nanoindentation
Viscoplasitc model
δ-Hydride

Constitutive modeling of δ-phase zircaloy hydride based on strain rate dependent nanoindentation and nano-scale impact dataset

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