A constitutive framework for steady-state creep in coarse-grained zirconium alloys under irradiation

References

• R.B. Adamson, C.E. Coleman, and M. Griffiths, Irradiation creep and growth of zirconium alloys: A critical review, J. Nucl. Mater. 521 (2019), pp. 167–244.
   Web of Science ®Google Scholar
• R. Montgomery, C. Tomé, W. Liu, A. Alankar, G. Subramanian, and C. Stanek, Use of multiscale zirconium alloy deformation models in nuclear fuel behavior analysis, J. Comput. Phys. 328 (2017), pp. 278–300.
   Web of Science ®Google Scholar
• F. Onimus, T. Jourdan, C. Xu, A.A. Campbell, and M. Griffiths, Irradiation creep in materials, in Comprehensive Nuclear Materials, Vol. 1, R. Konings and R. Stoller, eds., Elsevier, 2020, pp. 310–366.
   Google Scholar
• R.A. Holt, In-reactor deformation of cold-worked Zr-2.5Nb pressure tubes, J. Nucl. Mater. 372 (2008), pp. 182–214.
   Web of Science ®Google Scholar
• A. Patra, C.N. Tomé, and S.I. Golubov, Crystal plasticity modeling of irradiation growth in Zircaloy-2, Phil. Mag. 97 (2017), pp. 2018–2051.
   Google Scholar
• P.A. Turner, C.N. Tomé, N. Christodoulou, and C.H. Woo, A self-consistent model for polycrystals undergoing simultaneous irradiation and thermal creep, Phil. Mag. A 79 (1999), pp. 2505–2524.
   Google Scholar
• R. Hill, The essential structure of constitutive laws for metal composites and polycrystals, J. Mech. Phys. Solids 15 (1967), pp. 79–95.
   Web of Science ®Google Scholar
• P. Germain, Q.S. Nguyen, and P. Suquet, Continuum thermodynamics, J. Appl. Mech. 50 (1983), pp. 1010–1020.
   Web of Science ®Google Scholar
• M. Griffiths, G.A. Bickel, R. DeArbreu, and W. Li, Irradiation creep of Zr-alloys, in Mechanical and Creep Behavior of Advanced Materials, I. Charit, et al., eds., The Minerals, Metals & Materials Series, Springer, 2017, pp. 165–182.
   Google Scholar
• M. Griffiths, Effect of neutron irradiation on the mechanical properties, swelling and creep of austenitic stainless steels, Materials 14 (2021), pp. 2622.
   PubMedGoogle Scholar
• M. Frémond and B. Nedjar, Damage, gradient of damage and principle of virtual power, Int. J. Solids Struct. 33 (1996), pp. 1083–1103.
   Web of Science ®Google Scholar
• M.E. Gurtin, On the plasticity of single crystals: free energy, microforces, plastic-strain gradients, J. Mech. Phys. Solids 48 (2000), pp. 989–1036.
   Web of Science ®Google Scholar
• B.D. Coleman and W. Noll, The thermodynamics of elastic materials with heat conduction and viscosity, Arch. Rat. Mech. 13 (1963), pp. 167–178.
   Web of Science ®Google Scholar
• Z. Suo, A continuum theory that couples creep and self-diffusion, J. Appl. Mech. 71 (2004), pp. 646–651.
   Web of Science ®Google Scholar
• P. Ponte Castañeda and P. Suquet, Nonlinear composites, Adv. Appl. Mech. 34 (1998), pp. 171–302.
   Web of Science ®Google Scholar
• M.E. Jabbour and K. Bhattacharya, A continuum theory of multispecies thin solid film growth by chemical vapor deposition, J. Elast. 73 (2003), pp. 13–74.
   Web of Science ®Google Scholar
• M.V. Nebozhyn, P. Gilormini, and P. Ponte Castañeda, Variational self-consistent estimates for viscoplastic polycrystals with highly anisotropic grains, C. R. Acad. Sci. Paris IIb 328 (2000), pp. 11–17.
   Google Scholar
• C.H. Woo and C.B. So, The effect of stress on point-defect diffusion in hcp metals and irradiation creep, Phil. Mag. 80 (2000), pp. 1299–1318.
   Web of Science ®Google Scholar
• C.N. Tomé, H.A. Cecatto, and E.J. Savino, Point-defect diffusion in a strained crystal, Phys. Rev. B 25 (1982), pp. 7428–7440.
   Web of Science ®Google Scholar
• H. Moulinec and P. Suquet, A numerical method for computing the overall response of nonlinear composites with complex microstructure, Comput. Methods Appl. Mech. Engrg. 157 (1998), pp. 69–94.
   Web of Science ®Google Scholar
• C.N. Tomé, C.B. So, and C.H. Woo, Self-consistent calculation of steady-state creep and growth in textured zirconium, Phil. Mag. A 67 (1993), pp. 917–930.
   Google Scholar
• D.R.S. Talbot and J.R. Willis, Bounds for the effective relation of a nonlinear composite, Proc. R. Soc. Lond. A 460 (2004), pp. 2705–2723.
   Web of Science ®Google Scholar
• B.L. Adams, G.S. Clevinger, and J.P. Hirth, An upper-bound evaluation of interactive creep and growth in textured zircaloy, J. Nucl. Mater. 90 (1980), pp. 75–88.
   Web of Science ®Google Scholar
• IAEA, Prediction of Axial and Radial Creep in Pressure Tubes. IAEA-TECDOC-in press. International Atomic Energy Agency, 2021.
   Google Scholar
• W.G. Wolfer, Formulation of constitutive laws for deformation during irradiation, ASTM STP 683 (1979), pp. 581–597.
   Google Scholar
• K.C. Valanis, Thermodynamics of internal variables in the presence of internal forces, J. Appl. Phys.47 (1976), pp. 4765–4767.
   Web of Science ®Google Scholar
• S.I. Golubov, A.V. Barashev, R.E. Stoller, and B.N. Singh, Breakthrough in understanding radiation growth in zirconium, in Zirconium in the Nuclear Industry: 17th International Symposium, ASTM STP 1543, R. Comstock and P. Barberis, eds., ASTM International, Conshohocken, USA, 2015, pp. 729–758.
   Google Scholar
• L.K. Mansur, Irradiation creep by climb-enabled glide of dislocations resulting from preferred absortion of point defects, Phil. Mag. A 39 (1979), pp. 497–506.
   Google Scholar
• E.J. Savino and C.N. Tomé, Irradiation creep by stress-induced preferential attraction due to anisotropic diffusion (SIPA-AD), J. Nucl. Mater. 108-109 (1982), pp. 405–416.
   Web of Science ®Google Scholar
• M.J. Norgett, M.T. Robinson, and I.M. Torrens, A proposed method of calculating displacement dose rates, Nucl. Eng. Des. 33 (1975), pp. 50–54.
   Web of Science ®Google Scholar
• E.J. Savino and N. Smetniansky-De Grande, Point-defect anisotropic diffusion in strained hcp metals, Phys. Rev. B 35 (1987), pp. 6064–6073.
   Web of Science ®Google Scholar
• C.H. Woo, Irradiation creep due to elastodiffusion, J. Nucl. Mater. 120 (1984), pp. 55–64.
   Web of Science ®Google Scholar
• R.A. Lebensohn, R.A. Holt, A. Caro, A. Alankar, and C.N. Tomé, Improved constitutive description of single crystal viscoplastic deformation by dislocation climb, C. R. Mecanique 340 (2012), pp. 289–295.
   Web of Science ®Google Scholar
• V. Berdichevsky, P. Hazzledine, and B. Shoykhet, Micromechanics of diffusional creep, Int. J. Engng. Sci. 35 (1997), pp. 1003–1032.
   Web of Science ®Google Scholar