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Journal Articles

A Fundamental study on machine learning potential based on atomic energy learning with EAM potential

Kato, Taichi*; Shiihara, Yoshinori*; Mori, Hideki*; Tsuru, Tomohito; Matsunaka, Daisuke*

Zairyo, 75(2), p.109 - 115, 2026/02

Machine-learning-based molecular dynamics (ML-MD) has emerged as a promising approach to resolving the trade-off between accuracy and computational cost in atomic simulations. The most conventional method in ML-MD, total energy learning (TEL), trains models by matching the sum of predicted atomic energies to the total energy of the system. However, because calculating total energy requires information from all atoms in the system, TEL poses limitations for flexible data refinement. To address this issue, we have developed atomic energy learning (AEL), which enables atomic level data selection by directly using each atom's energy as training data. As a fundamental study, we compare AEL and TEL using datasets based on the Embedded Atom Method (EAM). The results demonstrate the effectiveness of selective data sampling in controlling model accuracy and reveal the advantage of AEL in evaluating atomic energies near defects through targeted data selection.

Journal Articles

Implementation of atomic stress calculations with artificial neural network potentials

Lobzenko, I.; Tsuru, Tomohito; Mori, Hideki*; Matsunaka, Daisuke*; Shiihara, Yoshinori*

Materials Transactions, 64(10), p.2481 - 2488, 2023/10

 Times Cited Count:1 Percentile:5.37(Materials Science, Multidisciplinary)

The concept of atomic stress in discrete systems is a powerful tool for studying complex processes, such as heat flux, crack propagation or void growth. The atomic stress connection with the continuous stress field is established by the Irvin-Kirkwood procedure. However, there exist multiple variations of that procedure, leading to ambiguity in the atomic stress definition. Special care should be given to the implementation of atomic stress in the case of each inter-atomic potential to satisfy the balance of linear momentum. We provide the rigorous derivation of the atomic stress tensor for the modern artificial neural network potentials (ANN potentials) that received wide attention recently due to their high accuracy. For the low-Miller-index surfaces of Fe and Al crystals and the cylinder-shaped pore case, we compare the results of atomic stress calculations between the ANN and the common embedded-atom (EAM) potentials. Our results show the stress oscillations in the vicinity of the surface layer, as predicted by the first-principles calculations. Thus, the presented method allows the evaluation of atomic stresses for large-scale models containing complex geometries and defect structures with an accuracy of first-principles calculations.

Journal Articles

Dynamic interaction between dislocations and obstacles in BCC iron based on atomic potentials derived using neural networks

Mori, Hideki*; Tsuru, Tomohito; Okumura, Masahiko; Matsunaka, Daisuke*; Shiihara, Yoshinori*; Itakura, Mitsuhiro

Physical Review Materials (Internet), 7(6), p.063605_1 - 063605_8, 2023/06

 Times Cited Count:7 Percentile:38.65(Materials Science, Multidisciplinary)

The introduction of obstacles (e.g., precipitates) for controlling dislocation motion in molecular structures is a prevalent method for designing the mechanical strength of metals. Owing to the nanoscale size of the dislocation core ($$leq$$ 1 nm), atomic modeling is required to investigate the interactions between the dislocation and obstacles. However, conventional empirical potentials are not adequately accurate, in contrast to the calculations based on density functional theory (DFT). Therefore, the atomic-level details of the interactions between the dislocations and obstacles remain unclarified. To this end, this study applied an artificial neural network (ANN) framework to construct an atomic potential by leveraging the high accuracy of DFT. Using the constructed ANN potential, we investigated the dynamic interaction between the $$(a_0/2){110}$$ edge dislocation and obstacles in BCC iron. When the dislocation crossed the void, an ultrasmooth and symmetric half-loop was observed for the bowing-out dislocation. Except for the screw dislocation, the Peierls stress of all the dislocations predicted using the ANN was less than 100 MPa. More importantly, the results confirmed the formation of an Orowan loop in the interaction between a rigid sphere and dislocation. Furthermore, we discovered a phenomenon in which the Orowan loop disintegrated into two small loops during its interaction with the rigid sphere and dislocation.

Journal Articles

Artificial neural network molecular mechanics of iron grain boundaries

Shiihara, Yoshinori*; Kanazawa, Ryosuke*; Matsunaka, Daisuke*; Lobzenko, I.; Tsuru, Tomohito; Koyama, Masanori*; Mori, Hideki*

Scripta Materialia, 207, p.114268_1 - 114268_4, 2022/01

 Times Cited Count:28 Percentile:76.64(Nanoscience & Nanotechnology)

This study reports grain boundary (GB) energy calculations for 46 symmetric-tilt GBs in $$alpha$$-iron using molecular mechanics based on an artificial neural network (ANN) potential and compares the results with calculations based on the density functional theory (DFT), the embedded atom method (EAM), and the modified EAM (MEAM). The results by the ANN potential are in excellent agreement with those of the DFT (5% on average), while the EAM and MEAM significantly differ from the DFT results (about 27% on average). In a uniaxial tensile calculation of GB, the ANN potential reproduced the brittle fracture tendency of the GB observed in the DFT while the EAM and MEAM mistakenly showed ductile behaviors. These results demonstrate the effectiveness of the ANN potential in calculating grain boundaries of iron, which is in high demand in modern industry.

Journal Articles

Incipient plasticity of twin and stable/unstable grain boundaries during nanoindentation in copper

Tsuru, Tomohito; Kaji, Yoshiyuki; Matsunaka, Daisuke*; Shibutani, Yoji*

Physical Review B, 82(2), p.024101_1 - 024101_6, 2010/07

 Times Cited Count:31 Percentile:72.36(Materials Science, Multidisciplinary)

An incipient plastic deformation of several types of grain boundaries subjected to nanoindentation was investigated by atomistic simulations. Crystal defects such as grain boundaries undermine the nucleation resistance. In this paper, we examined the dislocation nucleation mechanism at the twin and several coincidence site lattice grain boundaries and the resulting weakening of the dislocation nucleation resistance. We found that for the twin and the relatively stable $$Sigma 11(bar{1}13)[110]$$ grain boundary the primary slip deformation is activated on the grain boundary plane prior to the defect-free region because of the low fault energy of the grain boundaries during slip deformation. Subsequently, the secondary slip is activated from the grain boundary. On the other hand the dislocation is initially generated from the heterogeneous grain boundary plane for the unstable high-energy grain boundaries.

Oral presentation

Atomic stress distribution near Al surfaces, calculated using artificial neural network interatomic potential

Lobzenko, I.; Shiihara, Yoshinori*; Mori, Hideki*; Matsunaka, Daisuke*; Tsuru, Tomohito

no journal, , 

Recently methods of machine learning have become an important part of materials science. Particularly, interatomic potentials built using such methods demonstrate accuracy of geometrical characteristics of materials approaching the accuracy of first-principle calculations. In our work we use artificial neural networks to build potentials, and therefore they are called ANN potentials. We focus on the atomic stress, one of the important properties of materials, which can be calculated in classical approximation. Analysis of microscopic stress can be applied to any type of nonuniform system (such as defects in bulk, two-dimensional crystals, molecules assemblies, etc.). We show how the central-force decomposition (CFD) scheme can be used in the framework of ANN potentials for the derivation of atomic stress tensor. It is important to use CFD due to the fact that the symmetry of the stress tensor may be broken in other schemes. Finally, we calculate atomic stress distributions near surfaces of pure Al with different orientations. It is known from first-principle studies that there is a charge oscillations near Al surfaces, however it cannot be captured by existing interatomic potentials. Our results, obtained with the new ANN potential, show oscillations of atomic stress near Al surface. Even though our potential was fitted to only energies of Al structures (calculated in quantum-mechanics approximation), we attribute the atomic stress oscillations to the charge distribution of the real system. Charge oscillations are affecting total energies of structures, and therefore are implicitly included in the data set, which we use for building the potential.

Oral presentation

Developing interatomic potentials for mechanical properties of multi-component alloys using machine learning technique

Lobzenko, I.; Shiihara, Yoshinori*; Mori, Hideki*; Matsunaka, Daisuke*; Tsuru, Tomohito

no journal, , 

Refractory multi-component alloys (MCA) form an important class of materials with high potential for use in severe conditions. One of the main problems hindering the application of these alloys is the low ductility inherited from the body-centred cubic (BCC) crystal structure. Dislocation motion is the factor significantly influencing the ductility of the material, so a comprehensive understanding of the dislocation dynamics in refractory MCAs should be achieved to pave the way for designing refractory alloys with increased ductility. To achieve high accuracy in classical molecular dynamics simulations of dislocation motion, we apply the technique of machine learning (ML) for interatomic potential development. It is known that alloys with hexagonal closed-packed (HCP) elements such as Zr exhibit higher ductility, which is why two medium-entropy alloys, MoNbTa and ZrNbTa, were chosen to study the influence of elements' constitution on dislocations dynamics. The inter-atomic potentials for MCAs built using ML need a specific dataset. In the process of the potential development, we identify which structures contribute to a better quality of materials' mechanical properties prediction by the potentials. Results of the simulations have shown qualitative and quantitative differences between the two alloys under study. One example of that difference can be seen in the shapes of the screw dislocation core. In contrast to MoNbTa, ZrNbTa demonstrates a non-compact core with an extension on a (110) plane.

Oral presentation

Study of interaction between dislocations and void by using neural network atomic potential in BCC iron

Mori, Hideki*; Itakura, Mitsuhiro; Okumura, Masahiko; Shiihara, Yoshinori*; Matsunaka, Daisuke*

no journal, , 

no abstracts in English

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