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Designing Ti-6Al-4V microstructure for strain delocalization using neural networks 利用神经网络设计应变分散的 Ti-6Al-4V 显微结构
Materials Theory Pub Date : 2024-03-01 DOI: 10.1186/s41313-024-00055-9
Behnam Ahmadikia, Adolph L. Beyerlein, Jonathan M. Hestroffer, M. Arul Kumar, Irene J. Beyerlein
{"title":"Designing Ti-6Al-4V microstructure for strain delocalization using neural networks","authors":"Behnam Ahmadikia,&nbsp;Adolph L. Beyerlein,&nbsp;Jonathan M. Hestroffer,&nbsp;M. Arul Kumar,&nbsp;Irene J. Beyerlein","doi":"10.1186/s41313-024-00055-9","DOIUrl":"10.1186/s41313-024-00055-9","url":null,"abstract":"<div><p>The deformation behavior of Ti-6Al-4V titanium alloy is significantly influenced by slip localized within crystallographic slip bands. Experimental observations reveal that intense slip bands in Ti-6Al-4V form at strains well below the macroscopic yield strain and may serially propagate across grain boundaries, resulting in long-range localization that percolates through the microstructure. These connected, localized slip bands serve as potential sites for crack initiation. Although slip localization in Ti-6Al-4V is known to be influenced by various factors, an investigation of optimal microstructures that limit localization remains lacking. In this work, we develop a novel strategy that integrates an explicit slip band crystal plasticity technique, graph networks, and neural network models to identify Ti-6Al-4V microstructures that reduce the propensity for strain localization. Simulations are conducted on a dataset of 3D polycrystals, each represented as a graph to account for grain neighborhood and connectivity. The results are then used to train neural network surrogate models that accurately predict localization-based properties of a polycrystal, given its microstructure. These properties include the ratio of slip accumulated in the band to that in the matrix, fraction of total applied strain accommodated by slip bands, and spatial connectivity of slip bands throughout the microstructure. The initial dataset is enriched by synthetic data generated by the surrogate models, and a grid search optimization is subsequently performed to find optimal microstructures. Describing a 3D polycrystal with only a few features and a combination of graph and neural network models offer robustness compared to the alternative approaches without compromising accuracy. We show that while each material property is optimized through a unique microstructure solution, elongated grain shape emerges as a recurring feature among all optimal microstructures. This finding suggests that designing microstructures with elongated grains could potentially mitigate strain localization without compromising strength.</p></div>","PeriodicalId":693,"journal":{"name":"Materials Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://materialstheory.springeropen.com/counter/pdf/10.1186/s41313-024-00055-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140009924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Role of interfaces on the mechanical response of accumulative roll bonded nanometallic laminates investigated via dislocation dynamics simulations 通过位错动力学模拟研究界面对累积辊粘纳米金属层压板机械响应的作用
Materials Theory Pub Date : 2024-02-27 DOI: 10.1186/s41313-024-00054-w
Aritra Chakraborty, Aaron A. Kohnert, Abigail Hunter, Laurent Capolungo
{"title":"Role of interfaces on the mechanical response of accumulative roll bonded nanometallic laminates investigated via dislocation dynamics simulations","authors":"Aritra Chakraborty,&nbsp;Aaron A. Kohnert,&nbsp;Abigail Hunter,&nbsp;Laurent Capolungo","doi":"10.1186/s41313-024-00054-w","DOIUrl":"10.1186/s41313-024-00054-w","url":null,"abstract":"<div><p>Unraveling the effects of continuous dislocation interactions with interfaces, particularly at the nanometer length scales, is key to a broader understanding of plasticity, to material design and to material certification. To this end, this work proposes a novel discrete dislocation dynamics-based model for dislocation interface interactions tracking the fate of residual dislocation on interfaces. This new approach is used to predict the impact of dislocation/interface reactions on the overall mechanical behavior of accumulative roll bonded nanometallic laminates. The framework considers the dynamic evolution of the interface concurrent with a large network of dislocations, thus, accounting for the local short and long range effects of the dislocations under the external boundary conditions. Specifically, this study focuses on two-phase Fe/Cu nanometallic laminates, and investigates the role of the underlying elastic and plastic contrast of the Fe and the Cu layers on the composite response of the material. Moreover, the role of initial microstructures, resulting from processing is also investigated. Subsequently, the model is used to examine the effect of layer thickness and interface orientation relationship on the residual stresses of the relaxed microstructure. The associated mechanical response of these laminates are compared when loaded under normal direction compression, as well as shear compression. Finally, this work predicts a dominant effect of the layer thickness, as compared to the interface orientation relationship, on the macroscopic response and on the residual stresses of these nanolaminates, while the local dislocation transmission propensity through the interface is significantly influenced by the corresponding orientation relationship.</p></div>","PeriodicalId":693,"journal":{"name":"Materials Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://materialstheory.springeropen.com/counter/pdf/10.1186/s41313-024-00054-w","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139981031","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiscale modeling of dislocations: combining peridynamics with gradient elasticity 位错的多尺度建模:将周动力学与梯度弹性相结合
Materials Theory Pub Date : 2024-02-05 DOI: 10.1186/s41313-024-00052-y
Jonas Ritter, Michael Zaiser
{"title":"Multiscale modeling of dislocations: combining peridynamics with gradient elasticity","authors":"Jonas Ritter,&nbsp;Michael Zaiser","doi":"10.1186/s41313-024-00052-y","DOIUrl":"10.1186/s41313-024-00052-y","url":null,"abstract":"<div><p>Modeling dislocations is an inherently multiscale problem as one needs to simultaneously describe the high stress fields near the dislocation cores, which depend on atomistic length scales, and a surface boundary value problem which depends on boundary conditions on the sample scale. We present a novel approach which is based on a peridynamic dislocation model to deal with the surface boundary value problem. In this model, the singularity of the stress field at the dislocation core is regularized owing to the non-local nature of peridynamics. The effective core radius is defined by the peridynamic horizon which, for reasons of computational cost, must be chosen much larger than the lattice constant. This implies that dislocation stresses in the near-core region are seriously underestimated. By exploiting relationships between peridynamics and Mindlin-type gradient elasticity, we then show that gradient elasticity can be used to construct short-range corrections to the peridynamic stress field that yield a correct description of dislocation stresses from the atomic to the sample scale.</p></div>","PeriodicalId":693,"journal":{"name":"Materials Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://materialstheory.springeropen.com/counter/pdf/10.1186/s41313-024-00052-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139688837","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Correction: Assessment of four strain energy decomposition methods for phase field fracture models using quasi-static and dynamic benchmark cases 更正:利用准静态和动态基准案例评估相场断裂模型的四种应变能分解方法
Materials Theory Pub Date : 2024-01-02 DOI: 10.1186/s41313-023-00051-5
Shuaifang Zhang, Wen Jiang, Michael R. Tonks
{"title":"Correction: Assessment of four strain energy decomposition methods for phase field fracture models using quasi-static and dynamic benchmark cases","authors":"Shuaifang Zhang,&nbsp;Wen Jiang,&nbsp;Michael R. Tonks","doi":"10.1186/s41313-023-00051-5","DOIUrl":"10.1186/s41313-023-00051-5","url":null,"abstract":"","PeriodicalId":693,"journal":{"name":"Materials Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://materialstheory.springeropen.com/counter/pdf/10.1186/s41313-023-00051-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139081484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Relating plasticity to dislocation properties by data analysis: scaling vs. machine learning approaches 通过数据分析将塑性与位错特性联系起来:缩放与机器学习方法
Materials Theory Pub Date : 2023-01-03 DOI: 10.1186/s41313-022-00050-y
Stefan Hiemer, Haidong Fan, Michael Zaiser
{"title":"Relating plasticity to dislocation properties by data analysis: scaling vs. machine learning approaches","authors":"Stefan Hiemer,&nbsp;Haidong Fan,&nbsp;Michael Zaiser","doi":"10.1186/s41313-022-00050-y","DOIUrl":"10.1186/s41313-022-00050-y","url":null,"abstract":"<div><p>Plasticity modelling has long relied on phenomenological models based on ad-hoc assumption of constitutive relations, which are then fitted to limited data. Other work is based on the consideration of physical mechanisms which seek to establish a physical foundation of the observed plastic deformation behavior through identification of isolated defect processes (’mechanisms’) which are observed either experimentally or in simulations and then serve to formulate so-called physically based models. Neither of these approaches is adequate to capture the complexity of plastic deformation which belongs into the realm of emergent collective phenomena, and to understand the complex interplay of multiple deformation pathways which is at the core of modern high performance structural materials. Data based approaches offer alternative pathways towards plasticity modelling whose strengths and limitations we explore here for a simple example, namely the interplay between rate and dislocation density dependent strengthening mechanisms in fcc metals.</p></div>","PeriodicalId":693,"journal":{"name":"Materials Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://materialstheory.springeropen.com/counter/pdf/10.1186/s41313-022-00050-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4122761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Periodic plane-wave electronic structure calculations on quantum computers 基于量子计算机的周期性平面波电子结构计算
Materials Theory Pub Date : 2023-01-03 DOI: 10.1186/s41313-022-00049-5
Duo Song, Nicholas P. Bauman, Guen Prawiroatmodjo, Bo Peng, Cassandra Granade, Kevin M. Rosso, Guang Hao Low, Martin Roetteler, Karol Kowalski, Eric J. Bylaska
{"title":"Periodic plane-wave electronic structure calculations on quantum computers","authors":"Duo Song,&nbsp;Nicholas P. Bauman,&nbsp;Guen Prawiroatmodjo,&nbsp;Bo Peng,&nbsp;Cassandra Granade,&nbsp;Kevin M. Rosso,&nbsp;Guang Hao Low,&nbsp;Martin Roetteler,&nbsp;Karol Kowalski,&nbsp;Eric J. Bylaska","doi":"10.1186/s41313-022-00049-5","DOIUrl":"10.1186/s41313-022-00049-5","url":null,"abstract":"<div><p>A procedure for defining virtual spaces, and the periodic one-electron and two-electron integrals, for plane-wave second quantized Hamiltonians has been developed, and it was validated using full configuration interaction (FCI) calculations, as well as executions of variational quantum eigensolver (VQE) circuits on Quantinuum’s ion trap quantum computers accessed through Microsoft’s Azure Quantum service. This work is an extension to periodic systems of a new class of algorithms in which the virtual spaces were generated by optimizing orbitals from small pairwise CI Hamiltonians, which we term as correlation optimized virtual orbitals with the abbreviation COVOs. In this extension, the integration of the first Brillouin zone is automatically incorporated into the two-electron integrals. With these procedures, we have been able to derive virtual spaces, containing only a few orbitals, that were able to capture a significant amount of correlation. The focus in this manuscript is on comparing the simulations of small molecules calculated with plane-wave basis sets with large periodic unit cells at the <span>(Gamma)</span>-point, including images, to results for plane-wave basis sets with aperiodic unit cells. The results for this approach were promising, as we were able to obtain good agreement between periodic and aperiodic results for an LiH molecule. Calculations performed on the Quantinuum H1-1 quantum computer produced surprisingly good energies, in which the error mitigation played a small role in the quantum hardware calculations and the (noisy) quantum simulator results. Using a modest number of circuit runs (500 shots), we reproduced the FCI values for the 1 COVO Hamiltonian with an error of 11 milliHartree, which is expected to improve with a larger number of circuit runs.</p></div>","PeriodicalId":693,"journal":{"name":"Materials Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://materialstheory.springeropen.com/counter/pdf/10.1186/s41313-022-00049-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4467891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Correction: Constant-depth circuits for dynamic simulations of materials on quantum computers 修正:用于量子计算机上材料动态模拟的恒深电路
Materials Theory Pub Date : 2022-11-14 DOI: 10.1186/s41313-022-00048-6
Lindsay Bassman Oftelie, Roel Van Beeumen, Ed Younis, Ethan Smith, Costin Iancu, Wibe A. de Jong
{"title":"Correction: Constant-depth circuits for dynamic simulations of materials on quantum computers","authors":"Lindsay Bassman Oftelie,&nbsp;Roel Van Beeumen,&nbsp;Ed Younis,&nbsp;Ethan Smith,&nbsp;Costin Iancu,&nbsp;Wibe A. de Jong","doi":"10.1186/s41313-022-00048-6","DOIUrl":"10.1186/s41313-022-00048-6","url":null,"abstract":"","PeriodicalId":693,"journal":{"name":"Materials Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://materialstheory.springeropen.com/counter/pdf/10.1186/s41313-022-00048-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73251737","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Numerical simulations of noisy quantum circuits for computational chemistry 计算化学中噪声量子电路的数值模拟
Materials Theory Pub Date : 2022-09-22 DOI: 10.1186/s41313-022-00047-7
Jerimiah Wright, Meenambika Gowrishankar, Daniel Claudino, Phillip C. Lotshaw, Thien Nguyen, Alexander J. McCaskey, Travis S. Humble
{"title":"Numerical simulations of noisy quantum circuits for computational chemistry","authors":"Jerimiah Wright,&nbsp;Meenambika Gowrishankar,&nbsp;Daniel Claudino,&nbsp;Phillip C. Lotshaw,&nbsp;Thien Nguyen,&nbsp;Alexander J. McCaskey,&nbsp;Travis S. Humble","doi":"10.1186/s41313-022-00047-7","DOIUrl":"10.1186/s41313-022-00047-7","url":null,"abstract":"<div><p>The opportunities afforded by near-term quantum computers to calculate the ground-state properties of small molecules depend on the structure of the computational ansatz as well as the errors induced by device noise. Here we investigate the behavior of these noisy quantum circuits using numerical simulations to estimate the accuracy and fidelity of the prepared quantum states relative to the ground truth obtained by conventional means. We implement several different types of ansatz circuits derived from unitary coupled cluster theory for the purposes of estimating the ground-state energy of sodium hydride using the variational quantum eigensolver algorithm. We show how relative error in the energy and the fidelity scale with the levels of gate-based noise, the internuclear configuration, the ansatz circuit depth, and the parameter optimization methods.</p></div>","PeriodicalId":693,"journal":{"name":"Materials Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://materialstheory.springeropen.com/counter/pdf/10.1186/s41313-022-00047-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84430688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Coupled Cluster Downfolding Theory: towards universal many-body algorithms for dimensionality reduction of composite quantum systems in chemistry and materials science 耦合簇下折叠理论:化学和材料科学中复合量子系统降维的通用多体算法
Materials Theory Pub Date : 2022-05-07 DOI: 10.1186/s41313-022-00046-8
Nicholas P. Bauman, K. Kowalski
{"title":"Coupled Cluster Downfolding Theory: towards universal many-body algorithms for dimensionality reduction of composite quantum systems in chemistry and materials science","authors":"Nicholas P. Bauman, K. Kowalski","doi":"10.1186/s41313-022-00046-8","DOIUrl":"https://doi.org/10.1186/s41313-022-00046-8","url":null,"abstract":"","PeriodicalId":693,"journal":{"name":"Materials Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86818184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 13
Coupled Cluster Downfolding Theory: towards universal many-body algorithms for dimensionality reduction of composite quantum systems in chemistry and materials science 耦合簇下折叠理论:化学和材料科学中复合量子系统降维的通用多体算法
Materials Theory Pub Date : 2022-05-07 DOI: 10.1186/s41313-022-00046-8
Nicholas P. Bauman, Karol Kowalski
{"title":"Coupled Cluster Downfolding Theory: towards universal many-body algorithms for dimensionality reduction of composite quantum systems in chemistry and materials science","authors":"Nicholas P. Bauman,&nbsp;Karol Kowalski","doi":"10.1186/s41313-022-00046-8","DOIUrl":"10.1186/s41313-022-00046-8","url":null,"abstract":"<div><p>The recently introduced coupled cluster (CC) downfolding techniques for reducing the dimensionality of quantum many-body problems recast the CC formalism in the form of the renormalization procedure allowing, for the construction of effective (or downfolded) Hamiltonians in small-dimensionality sub-space, usually identified with the so-called active space, of the entire Hilbert space. The resulting downfolded Hamiltonians integrate out the external (out-of-active-space) Fermionic degrees of freedom from the internal (in-the-active-space) parameters of the wave function, which can be determined as components of the eigenvectors of the downfolded Hamiltonians in the active space. This paper will discuss the extension of non-Hermitian (associated with standard CC formulations) and Hermitian (associated with the unitary CC approaches) downfolding formulations to composite quantum systems commonly encountered in materials science and chemistry. The non-Hermitian formulation can provide a platform for developing local CC approaches, while the Hermitian one can serve as an ideal foundation for developing various quantum computing applications based on the limited quantum resources. We also discuss the algorithm for extracting the semi-analytical form of the inter-electron interactions in the active spaces.</p></div>","PeriodicalId":693,"journal":{"name":"Materials Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://materialstheory.springeropen.com/counter/pdf/10.1186/s41313-022-00046-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"119470669","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
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