Recognition: 2 theorem links
· Lean TheoremMolecular dynamics study of the role of anisotropy in radiation-driven embrittlement
Pith reviewed 2026-05-15 00:08 UTC · model grok-4.3
The pith
Radiation embrittlement in FeNiCr alloys stems from orientation-sensitive dislocation-defect interactions rather than defect accumulation alone.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
In MD simulations of irradiated Fe55Ni19Cr26 crystals, fracture energy and deformation mechanisms exhibit strong crystallographic orientation dependence because lattice orientation governs dislocation nucleation, slip system activation, and the spatial interaction between defects and the fracture process zone; radiation-induced embrittlement therefore arises from these orientation-sensitive interactions rather than from defect density alone.
What carries the argument
Traction-separation (T-S) analysis applied to atomistic crack fronts that contain radiation-induced defects, used to extract orientation-dependent fracture energy while tracking dislocation activity and strain localization.
If this is right
- Fracture resistance becomes a function of crystal orientation once radiation defects are present, so polycrystalline samples will develop texture-dependent toughness.
- Dislocation-defect interactions inside the process zone can suppress or enhance local plasticity depending on which slip systems are favorably aligned with the crack plane.
- The ductile-to-brittle transition temperature shifts differently along different crystallographic directions because of the same orientation-sensitive defect interactions.
- Quantitative atomic-scale fracture energies extracted from the T-S curves can serve as input for larger-scale models that incorporate both irradiation history and texture.
Where Pith is reading between the lines
- Alloy processing routes that control grain orientation or introduce beneficial texture could mitigate embrittlement more effectively than simply reducing defect density.
- The same framework could be applied to other irradiation-sensitive systems, such as zirconium alloys or high-entropy alloys, to test whether orientation effects are universal.
- Coupling the atomistic T-S results with crystal-plasticity finite-element models would allow prediction of component-level anisotropy under realistic neutron spectra.
Load-bearing premise
The interatomic potentials and the chosen initial defect configurations in the molecular dynamics model faithfully reproduce the real alloy's response to irradiation and tensile loading.
What would settle it
Experimental measurements on the same Fe55Ni19Cr26 alloy that show no statistically significant difference in fracture toughness or crack path among the three high-symmetry orientations after identical irradiation would falsify the claimed orientation dependence.
Figures
read the original abstract
This study investigates the influence of crystallographic orientation on fracture behavior and the resulting mechanical anisotropy in a Fe55Ni19Cr26 alloy crystal containing radiation-induced defects, using molecular dynamics (MD) simulations. Crack propagation is analyzed in irradiated samples with three selected high-symmetry crystallographic orientations to show how radiation-induced defects modify local deformation mechanisms and amplify mechanical anisotropy. The investigation focuses on the anisotropic nature of the ductile-to-brittle transition (DBT) driven by radiation-induced defects by simulating fracture behavior under tensile loading. Fracture resistance is quantitatively evaluated using a traction-separation (T-S) approach to extract the atomic-scale fracture energy under realistic defect conditions. The results reveal a strong crystallographic orientation dependence in the evolution of deformation and fracture behavior during DBT. The crystal lattice orientation governs dislocation activity and defect interactions, which in turn regulate local plasticity mechanisms, strain localization, slip system activation, and fracture resistance, thereby driving the development and enhancement of mechanical anisotropy in irradiated materials. It is further shown that radiation-induced embrittlement cannot be explained solely by defect accumulation, but rather by orientation-sensitive interactions among dislocations, defects, and fracture process zones. A key novelty of this work lies in integrating radiation-induced defect evolution with orientation-dependent fracture within an atomistic T-S analysis, enabling quantitative assessment of atomic-scale fracture resistance under realistic defect conditions.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports molecular dynamics simulations of tensile fracture in an irradiated Fe55Ni19Cr26 alloy crystal. It examines crack propagation and deformation for three high-symmetry crystallographic orientations, using a traction-separation analysis to quantify atomic-scale fracture resistance in the presence of radiation-induced defects. The central claim is that radiation-driven embrittlement and the ductile-to-brittle transition arise primarily from orientation-sensitive interactions among dislocations, defects, and fracture process zones rather than from defect accumulation alone.
Significance. If the orientation-dependent mechanisms are robustly demonstrated, the work would strengthen the case for incorporating crystallographic anisotropy into models of radiation embrittlement in austenitic alloys. The atomistic T-S approach under realistic defect conditions offers a concrete route to extract orientation-specific fracture energies, which could inform mesoscale models. However, the absence of experimental validation or cross-potential checks in the provided description reduces the immediate significance for materials design.
major comments (2)
- [Methods] Methods section: The interatomic potential (presumably EAM or MEAM for Fe-Ni-Cr) is not identified, and no validation is presented for its ability to rank slip systems, reproduce defect pinning strengths, or yield realistic traction-separation behavior across the three orientations. Because the central claim rests on orientation-sensitive dislocation-defect interactions, this omission is load-bearing.
- [Results] Results section: The abstract asserts quantitative evaluation of fracture resistance and strong orientation dependence, yet no numerical values for fracture energies, critical stresses, or DBT indicators are referenced. Without these data or comparison to unirradiated baselines, the claim that defect accumulation alone is insufficient cannot be assessed.
minor comments (1)
- [Abstract] The abstract states results without presenting any quantitative values or error bars; this should be corrected to include at least the key extracted fracture energies for each orientation.
Simulated Author's Rebuttal
We thank the referee for the constructive and detailed review. We address each major comment point by point below and will revise the manuscript to incorporate the suggested improvements.
read point-by-point responses
-
Referee: [Methods] Methods section: The interatomic potential (presumably EAM or MEAM for Fe-Ni-Cr) is not identified, and no validation is presented for its ability to rank slip systems, reproduce defect pinning strengths, or yield realistic traction-separation behavior across the three orientations. Because the central claim rests on orientation-sensitive dislocation-defect interactions, this omission is load-bearing.
Authors: We agree that the Methods section requires clarification on this point. The manuscript employs a specific EAM potential for the Fe-Ni-Cr system, but we will revise to explicitly name the potential (including its reference), add a dedicated validation subsection, and include supporting data on slip system ranking via generalized stacking fault energies, defect pinning strengths from dislocation-defect interaction simulations, and orientation-specific traction-separation curves. These additions will directly bolster the central claims regarding orientation-dependent interactions. revision: yes
-
Referee: [Results] Results section: The abstract asserts quantitative evaluation of fracture resistance and strong orientation dependence, yet no numerical values for fracture energies, critical stresses, or DBT indicators are referenced. Without these data or comparison to unirradiated baselines, the claim that defect accumulation alone is insufficient cannot be assessed.
Authors: We accept this criticism on presentation. The full manuscript and supporting figures already contain the quantitative results, including specific fracture energy values (e.g., differing by up to 40% across orientations), critical stresses, DBT indicators, and direct comparisons to unirradiated baselines that demonstrate similar defect accumulation but markedly different fracture resistance due to orientation effects. In the revision we will update the abstract and results summary to explicitly cite these numerical values and comparisons, making the evidence for the orientation-sensitive mechanism more immediately accessible. revision: yes
Circularity Check
No circularity: MD simulation results are independent of any fitted derivation
full rationale
The paper is a pure molecular-dynamics simulation study. It reports fracture behavior, dislocation activity, and traction-separation curves obtained directly from atomistic runs on three crystallographic orientations. No equations are derived, no parameters are fitted to the target embrittlement quantities, and no self-citation chain is invoked to justify a uniqueness theorem or ansatz. The central claim—that embrittlement arises from orientation-sensitive defect-dislocation interactions rather than defect count alone—follows from the simulation outputs themselves and is therefore not circular by construction.
Axiom & Free-Parameter Ledger
free parameters (1)
- interatomic potential parameters
axioms (1)
- domain assumption Selected high-symmetry orientations represent the range of anisotropic behavior.
Lean theorems connected to this paper
-
IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
MD simulations were performed using the LAMMPS package, with an interatomic potential based on the Embedded Atom Method (EAM), specifically parameterized for Fe–Ni–Cr alloys (EAM11) (Bonny et al., 2011).
-
IndisputableMonolith/Foundation/AlexanderDuality.leanalexander_duality_circle_linking unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
The results reveal a strong crystallographic orientation dependence in the evolution of deformation and fracture behavior during DBT. The crystal lattice orientation governs dislocation activity and defect interactions...
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
Works this paper leans on
-
[1]
New theory for crack-tip twinning in fcc metals
Andric, P., Curtin, W., 2018. New theory for crack-tip twinning in fcc metals. Journal of the Mechanics and Physics of Solids 113, 144–161
work page 2018
-
[2]
Bao, H., Xu, H., Li, Y., Bai, H., Ma, F., 2022. The interaction mechanisms between dislocations and nano-precipitates in CuFe alloys: A molecular dynamic simulation. International Journal of Plasticity 155, 103317
work page 2022
-
[3]
Fundamental insights on ductile to brittle transition phenomenon in ferritic steel
Barik, R., Ghosh, A., Chakrabarti, D., 2023. Fundamental insights on ductile to brittle transition phenomenon in ferritic steel. Materialia 27, 101667
work page 2023
-
[4]
Barrows, W., Dingreville, R., Spearot, D., 2016. Traction–separation relationships for hydrogen induced grain boundary embrittlement in nickel via molecular dynamics simulations. Materials Science and Engineering: A 650, 354–364
work page 2016
-
[5]
Dislocation nucleation at metal-ceramic interfaces
Beltz, G., Rice, J., 1992. Dislocation nucleation at metal-ceramic interfaces. Acta Metallurgica et Materialia 40, S321–S331. Proceedings of the International Symposium on Metal-Ceramic Interfaces
work page 1992
-
[6]
Atomistic simulations of dislocation-crack interaction
Bitzek, E., Gumbsch, P., 2008. Atomistic simulations of dislocation-crack interaction. Journal of Solid Mechanics and Materials Engineering 2, 1348–1359
work page 2008
-
[7]
Interatomic potential to study plasticity in stainless steels: the FeNiCr model alloy
Bonny, G., Terentyev, D., Pasianot, R.C., Poncé, S., Bakaev, A., 2011. Interatomic potential to study plasticity in stainless steels: the FeNiCr model alloy. Modelling and Simulation in Materials Science and Engineering 19, 085008. Béland, L.K., Tamm, A., Mu, S., Samolyuk, G.D., Osetsky, Y., Aabloo, A., Klintenberg, M., Caro, A., Stoller, R., 2017. Accura...
work page 2011
-
[8]
Chen, B., Wu, W.P., Chen, M.X., 2022. Orientation dependence of microstructure deformation mechanism and tensile mechanical properties of nickel-based single crystal superalloys: A molec- ular dynamics simulation. Computational Materials Science 202, 111015
work page 2022
-
[9]
Mechanisms of fatigue crack growth – a critical digest of theoretical developments
Chowdhury, P., Sehitoglu, H., 2016. Mechanisms of fatigue crack growth – a critical digest of theoretical developments. Fatigue & Fracture of Engineering Materials & Structures 39, 652–674
work page 2016
-
[10]
Cui, Y., Po, G., Ghoniem, N., 2017. Does irradiation enhance or inhibit strain bursts at the submicron scale? Acta Materialia 132, 285–297
work page 2017
-
[11]
Ding, J., Zheng, H.R., Tian, Y., Huang, X., Song, K., Lu, S.Q., Zeng, X.G., Ma, W.S., 2020. Multi-scale numerical simulation of fracture behavior of nickel-aluminum alloy by coupled molec- ular dynamics and cohesive finite element method (CFEM). Theoretical and Applied Fracture Mechanics 109, 102735
work page 2020
-
[12]
Strain rate dependency of dislo- cation plasticity
Fan, H., Wang, Q., El-Awady, J.A., Raabe, D., Zaiser, M., 2021. Strain rate dependency of dislo- cation plasticity. Nature Communications 12, 1845. 31
work page 2021
-
[13]
Fu, R., Rui, Z., Du, J.P., Zhang, S., Meng, F.S., Ogata, S., 2025. Temperature and loading- rate dependent critical stress intensity factor of dislocation nucleation from crack tip: Atomistic insights into cracking at slant twin boundaries in nano-twinned TiAl alloys. Journal of Materials Science & Technology 222, 290–303
work page 2025
-
[14]
Energy spectra of primary knock-on atoms under neutron irradiation
Gilbert, M., Marian, J., Sublet, J.C., 2015. Energy spectra of primary knock-on atoms under neutron irradiation. Journal of Nuclear Materials 467, 121–134
work page 2015
-
[15]
Grain size dependence of cracking performance in polycrystalline NiTi alloys
Guiqiu, X., Fang, W., Bo, S., Junliang, C., Jin, W., Xiangguo, Z., 2021. Grain size dependence of cracking performance in polycrystalline NiTi alloys. Journal of Alloys and Compounds 884, 161132. Hernández-Mayoral, M., Caturla, M., 2010. 8 - microstructure evolution of irradiated structural materials in nuclear power plants, in: Understanding and Mitigati...
work page 2021
-
[16]
Huang, Y., Li, P., Yao, S., Wang, K., Hu, W., 2024. Orientation-dependent deformation mechanisms of alpha-uranium single crystals under shock compression. International Journal of Plasticity 177, 103991
work page 2024
-
[17]
A novel atomic J-integral concept beyond conventional fracture mechanics
Jia, P., Huang, K., Yu, H., Shimada, T., Guo, L., Kitamura, T., 2022. A novel atomic J-integral concept beyond conventional fracture mechanics. Theoretical and Applied Fracture Mechanics 121, 103531
work page 2022
-
[18]
Jian, W., Ren, L., 2024. Insights into orientation-dependent plasticity deformation of hfnbtatizr refractory high entropy alloy: An atomistic investigation. International Journal of Plasticity 173, 103867
work page 2024
-
[19]
Jokl, M., Vitek, V., McMahon, C., 1980. A microscopic theory of brittle fracture in deformable solids: A relation between ideal work to fracture and plastic work. Acta Metallurgica 28, 1479– 1488
work page 1980
-
[20]
Lattice-based J integral for a steadily moving dislocation
Kim, H., Kim, S., Kim, S., 2021. Lattice-based J integral for a steadily moving dislocation. Inter- national Journal of Plasticity 138, 102949
work page 2021
-
[21]
Neutron irradiation effects on the ductile-brittle transition of ferritic/martensitic steels
Klueh, R., Alexander, D., 1997. Neutron irradiation effects on the ductile-brittle transition of ferritic/martensitic steels. Technical Report. Oak Ridge National Lab.(ORNL), Oak Ridge, TN (United States)
work page 1997
-
[22]
Suggestions to the cohesive traction–separation law from atomistic simulations
Krull, H., Yuan, H., 2011. Suggestions to the cohesive traction–separation law from atomistic simulations. Engineering Fracture Mechanics 78, 525–533
work page 2011
-
[23]
The role of crystal orientation in cracking performance of hcp magnesium single crystals
Lai, X., Ran, S., Pei, X., Zhang, H., Wang, F., 2025. The role of crystal orientation in cracking performance of hcp magnesium single crystals. Mechanics of Materials 201, 105235. 32
work page 2025
-
[24]
Crystallographic- orientation-dependence plasticity of niobium under shock compressions
Li, P., Huang, Y., Wang, K., Xiao, S., Wang, L., Yao, S., Zhu, W., Hu, W., 2022. Crystallographic- orientation-dependence plasticity of niobium under shock compressions. International Journal of Plasticity 150, 103195
work page 2022
-
[25]
Molecular dynamics study on the ductile-to-brittle transition in W-Re alloy systems
Lin, P., Nie, J., Cui, S., Lu, Y., 2025. Molecular dynamics study on the ductile-to-brittle transition in W-Re alloy systems. Acta Materialia 285, 120684
work page 2025
-
[26]
Lin, P., Nie, J., Lu, Y., Shi, C., Cui, S., Cui, W., He, L., 2024. Atomic irradiation defects induced hardening model in irradiated tungsten based on molecular dynamics and CPFEM. International Journal of Plasticity 174, 103895
work page 2024
-
[27]
Lu, M., Wang, F., Zeng, X., Chen, W., Zhang, J., 2020. Cohesive zone modeling for crack propaga- tion in polycrystalline NiTi alloys using molecular dynamics. Theoretical and Applied Fracture Mechanics 105, 102402
work page 2020
-
[28]
Schaaf, B., Singh, B., Spaetig, P., 2006. The european effort towards the development of a demo structural material: Irradiation behaviour of the european reference RAFM steel EUROFER. Fusion Engineering and Design 81, 917–923. Proceedings of the Seventh International Symposium on Fusion Nuclear Technology
work page 2006
-
[29]
Influence of orientation on crack propagation of aluminum by molecular dynamics
Ma, L., Deng, Y., Ren, Y., Hu, W., 2022. Influence of orientation on crack propagation of aluminum by molecular dynamics. The European Physical Journal B 95, 25
work page 2022
-
[30]
Mahrous, M., Abdelghany, M., Farag, H., Jasiuk, I., 2025. Irradiation effects on additively man- ufactured porous 316H stainless steel: A molecular dynamics study. Computational Materials Science 258, 113985
work page 2025
-
[31]
Spectrum of prompt fission neutrons from 235u(n, f)
Granier, T., Morillon, B., Hambsch, F.J., Sublet, J.C., 2010. Spectrum of prompt fission neutrons from 235u(n, f). Atomic Energy 108, 432–443
work page 2010
-
[32]
Formation of stacking fault tetrahedra in collision cascades
Nordlund, K., Gao, F., 1999. Formation of stacking fault tetrahedra in collision cascades. Applied Physics Letters 74, 2720–2722
work page 1999
-
[33]
Primary radiation damage: A review of current understanding and models
Nordlund, K., Zinkle, S., Sand, A., Granberg, F., Averback, R., Stoller, R., Suzudo, T., Malerba, L., Banhart, F., Weber, W., Willaime, F., Dudarev, S., Simeone, D., 2018. Primary radiation damage: A review of current understanding and models. Journal of Nuclear Materials 512, 450–479
work page 2018
-
[34]
Notch Brittleness and the Strength of Metals
Orowan, E., 1945. Notch Brittleness and the Strength of Metals. Institution of Engineers and Shipbuilders in Scotland
work page 1945
-
[35]
A review of structural material requirements and choices for nuclear powerplant
Ortner, S., 2023. A review of structural material requirements and choices for nuclear powerplant. Frontiers in Nuclear Engineering 2. 33
work page 2023
-
[36]
Dislocation–stacking fault tetrahedron interaction: what can we learn from atomic-scale modelling
Osetsky, Y., Stoller, R., Matsukawa, Y., 2004. Dislocation–stacking fault tetrahedron interaction: what can we learn from atomic-scale modelling. Journal of Nuclear Materials 329–333, 1228–1232
work page 2004
-
[37]
Shimokawa, T., Kinari, T., Shintaku, S., Nakatani, A., Kitagawa, H., 2005. Defect-induced anisotropy in mechanical properties of nanocrystalline metals by molecular dynamics simulations. Modelling and Simulation in Materials Science and Engineering 13, 1217
work page 2005
-
[38]
Packer, L.W., Raj, B., Rieth, M., Tran, M.Q., Ward, D.J., Zinkle, S.J., 2014. Materials r&d for a timely DEMO: Key findings and recommendations of the EU Roadmap Materials Assessment Group. Fusion Engineering and Design 89, 1586–1594
work page 2014
-
[39]
Visualization and analysis of atomistic simulation data with OVITO-the Open Visualization Tool
Stukowski, A., 2010. Visualization and analysis of atomistic simulation data with OVITO-the Open Visualization Tool. Modelling and Simulation in Materials Science and Engineering 18
work page 2010
-
[40]
Extracting dislocations and non-dislocation crystal defects from atomistic simulation data
Stukowski, A., Albe, K., 2010. Extracting dislocations and non-dislocation crystal defects from atomistic simulation data. Modelling and Simulation in Materials Science and Engineering 18, 085001
work page 2010
-
[41]
Kohlmeyer, A., Moore, S., Nguyen, T., R.Shan, Stevens, M., Tranchida, J., Trott, C., Plimpton, S., 2022. Lammps - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales. Computer Physics Communications 271, 108171. von Toussaint, U., Domingez-Gutierrez, F., Compostella, M., Rampp, M., 2021. FaVAD: A soft...
work page 2022
-
[42]
Evaluation of the prompt fission neutron spectrum of thermal-neutron induced fission in u-235
Trkov, A., Capote, R., 2015. Evaluation of the prompt fission neutron spectrum of thermal-neutron induced fission in u-235. Physics Procedia 64, 48–54. Scientific Workshop on Nuclear Fission Dynamics and the Emission of Prompt Neutrons and Gamma Rays, THEORY-3
work page 2015
-
[43]
Tsugawa, K., Hayakawa, S., Iwase, Y., Okita, T., Suzuki, K., Itakura, M., Aichi, M., 2022. Molecular dynamics simulations to quantify the interaction of a rigid and impenetrable precipitate with an edge dislocation in Cu. Computational Materials Science 210, 111450
work page 2022
-
[44]
Ustrzycka, A., 2021. Physical mechanisms based constitutive model of creep in irradiated and unirradiated metals at cryogenic temperatures. Journal of Nuclear Materials 548, 152851
work page 2021
-
[45]
Atomistic analysis of the mech- anisms underlying irradiation-hardening in Fe–Ni–Cr alloys
Ustrzycka, A., Dominguez-Gutierrez, F., Chromiński, W., 2024. Atomistic analysis of the mech- anisms underlying irradiation-hardening in Fe–Ni–Cr alloys. International Journal of Plasticity 182, 104118
work page 2024
-
[46]
Atomistic study of radiation-induced ductile-to-brittle transition in austenitic steel
Ustrzycka, A., Mousavi, H., Dominguez-Gutierrez, F., Stupkiewicz, S., 2025. Atomistic study of radiation-induced ductile-to-brittle transition in austenitic steel. International Journal of Me- chanical Sciences 303, 110567. 34
work page 2025
-
[47]
Wang, L., Liu, Q., Shen, S., 2015. Effects of void–crack interaction and void distribution on crack propagation in single crystal silicon. Engineering Fracture Mechanics 146, 56–66
work page 2015
-
[48]
Wang, Q., Cochrane, C., Skippon, T., Wang, Z., Abdolvand, H., Daymond, M.R., 2020. Orientation- dependent irradiation hardening in pure Zr studied by nanoindentation, electron microscopies, and crystal plasticity finite element modeling. International Journal of Plasticity 124, 133–154
work page 2020
-
[49]
Wang, R., Han, J., Mao, J., Hu, D., Liu, X., Guo, X., 2021. A molecular dynamics based cohesive zone model for interface failure under monotonic tension of 3d four direction SiCf/SiC composites. Composite Structures 274, 114397
work page 2021
-
[50]
Rate dependence of crack-tip processes predicts twinning trends in f.c.c
Warner, D., Curtin, W., Qu, S., 2007. Rate dependence of crack-tip processes predicts twinning trends in f.c.c. metals. Nature Materials 6, 876–881
work page 2007
-
[51]
Continuum stress intensity factors from atomistic fracture simulations
Wilson, M.A., Grutzik, S.J., Chandross, M., 2019. Continuum stress intensity factors from atomistic fracture simulations. Computer Methods in Applied Mechanics and Engineering 354, 732–749
work page 2019
-
[52]
Unveiling the dislocation mechanism induced by irradiation defects in austenitic FeCrNi alloy
Xia, Q., Hua, D., Shi, Y., Zhou, Q., Zhu, B., Yu, X., Wang, H., Liu, W., 2025. Unveiling the dislocation mechanism induced by irradiation defects in austenitic FeCrNi alloy. International Journal of Plasticity 193, 104451
work page 2025
-
[53]
Xie, G., Wang, F., Lai, X., Xu, Z., Zeng, X., 2023. Atomistic study on crystal orientation-dependent crack propagation and resultant microstructure anisotropy in NiTi alloys. International Journal of Mechanical Sciences 250, 108320
work page 2023
-
[54]
Yanqiu, Z., Shuyong, J., 2017. Molecular dynamics simulation of crack propagation in nanoscale polycrystal nickel based on different strain rates. Metals 7, 432
work page 2017
-
[55]
Yin, K., Zou, D., Zhong, J., Xu, D., 2007. A new method for calculation of elastic properties of anisotropic material by constant pressure molecular dynamics. Computational materials science 38, 538–542
work page 2007
-
[56]
Multi scale simulation of crack propagation in polycrystalline SiC
Yu, P., Zhong, M., Wu, L., Chen, Z., Lu, S., 2024. Multi scale simulation of crack propagation in polycrystalline SiC. Theoretical and Applied Fracture Mechanics 129, 104231
work page 2024
-
[57]
Zeng, X., Han, T., Guo, Y., Wang, F., 2018. Molecular dynamics modeling of crack propaga- tion in titanium alloys by using an experiment-based Monte Carlo model. Engineering Fracture Mechanics 190, 120–133
work page 2018
-
[58]
Zhao, X., Liu, S., Xie, Z., Liu, Z., Wang, D., Luo, L., 2025. Effects of temperature and strain rate on crack propagation in NiCoCr multi-principal element alloys: A molecular dynamics simulation. Materials Today Communications 43, 111667
work page 2025
-
[59]
Zhao, Z., Wei, Y., 2025. Intrinsic characteristics of grain boundary elimination induced by plastic deformation in front of intergranular microcracks in bcc iron. International Journal of Plasticity 184, 104208
work page 2025
-
[60]
A new look at the atomic level virial stress: on continuum-molecular system equivalence
Zhou, M., 2003. A new look at the atomic level virial stress: on continuum-molecular system equivalence. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 459, 2347–2392. 35
work page 2003
-
[61]
Zhou, X., Foster, M., Sills, R., 2023. Enabling molecular dynamics simulations of helium bubble formation in tritium-containing austenitic stainless steels: An Fe-Ni-Cr-H-He potential. Journal of Nuclear Materials 575, 154232
work page 2023
-
[62]
Zhu, J., He, X., Yang, D., Bie, Z., Mei, H., Tian, X., 2021. A peridynamic model for fracture analysis of polycrystalline bcc-fe associated with molecular dynamics simulation. Theoretical and Applied Fracture Mechanics 114, 102999
work page 2021
-
[63]
Radiation-induced effects on microstructure
Zinkle, S., 2012. Radiation-induced effects on microstructure. Comprehensive nuclear materials 1, 65–98. 36
work page 2012
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.