Monte Carlo simulation of polycrystalline microstructures and finite element stress analysis

Liu, Yunfang; Cheng, Laifei; Zeng, Qingfeng; Feng, Zhiqiang; Jin, Zhang; Peng, Junhui; Xie, Congwei; Guan, Kang

doi:10.1016/j.matdes.2013.10.047

Cited by 18 publications

(18 citation statements)

References 24 publications

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“…The application of the Monte Carlo technique to simulate grain growth has been described in detail [6,13,18,19], thus only the essential feature of this technique is addressed here. A 2D continuum microstructure is mapped onto a discretized domain that composes a set of N 1 × N 2 lattice grids.…”

Section: Monte Carlo Simulationmentioning

confidence: 99%

“…The fundamental equations of elasticity theory including equilibrium equations, kinematics equations, and constitutive equations, which have been described in detail in Ref. [13], are applied for the numerical computation of mechanical behaviors of layered composites. A plane strain problem neglecting body forces is considered here.…”

Section: Finite Element Analysismentioning

confidence: 99%

“…The Monte Carlo method has gained its popularity for microstructure evolution in the past decades, while the finite element method is being widely employed for solving structural problems. In our previous work [13], the numerical simulation was successfully applied by combining MC and FEM to perform the stress analysis of the polycrystalline materials during the microstructure evolution by Matlab and C++ console application.…”

Section: Introductionmentioning

confidence: 99%

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PCLab – A software with interactive graphical user interface for Monte Carlo and finite element analysis of microstructure-based layered composites

Liu

Cheng

Zeng

et al. 2015

Advances in Engineering Software

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Section: Monte Carlo Simulationmentioning

confidence: 99%

Section: Finite Element Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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PCLab – A software with interactive graphical user interface for Monte Carlo and finite element analysis of microstructure-based layered composites

Liu

Cheng

Zeng

et al. 2015

Advances in Engineering Software

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“…[26][27][28] To date, the evaluation of grain-anisotropy-induced stress has been limited to numerical stress simulation using grainorientation-limited polycrystalline ceramics as a model. 26,27,[29][30][31] Simultaneous high-resolution imaging of stress and grain orientation by near-field luminescence spectroscopy will provide important insights for further advancements of local stress simulation.…”

Section: Introductionmentioning

confidence: 99%

Correlation between the local stress and the grain misorientation in the polycrystalline Al₂O₃ measured by near-field luminescence spectroscopy

Tomimatsu

Takigawa

2018

Jpn. J. Appl. Phys.

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Owing to its high spatial resolution, near-field spectroscopy is a useful method for sensing the stress in a narrow region of submicron order. Here, on the basis of the highly resolved images obtained by near-field luminescence spectroscopy, we propose a statistical method of analyzing grain anisotropy-induced stress in polycrystalline Al 2 O 3 . We focus on two characteristics of a spectra: the intensity ratio and peak shift of luminescence of two lines (R 1 and R 2 ) from Al 2 O 3 to discuss crystal orientation and stress, respectively. By incorporating the concept of the crystal misorientation parameter using intensity ratio, an apparent correlation between the magnitude of stress and the misorientation is found. This correlation analysis provides an important insight for the investigation of local thermal stress in Al 2 O 3 .

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“…stress spectrum [5] . Monte-Carlo simulation has been used to study fatigue limits [6] , polycrystalline microstructural effects [7] , stress variation studies on composite single lap [8] , and so forth.…”

Section: Introductionmentioning

confidence: 99%

Research on Direction of Principal Stress Based on Monte-Carlo Method

Chen¹,

Feng²,

Xiong³

et al. 2017

Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)

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Abstract-Crack initiation and propagation induced by fatigue damage under the action of complex random stress spectrum is the main form of structural failure. The direction of crack initiation is closely related with the maximum principal stress direction, but the maximum principal stress direction of complex random stress spectrum changes with time. Prediction of maximum principal stress direction based on Monte-Carlo method is a feasible method. Firstly, Sampling of random stress spectrum is conducted based on normal distribution, logarithmic normal distribution and Weibull distribution. Then, the MonteCarlo procedures based on three different distributions of prediction of maximum principal stress direction were illustrated. Finally, the engineering application of Monte-Carlo method was carried on the metallurgy crane based on the random stress spectrum data which is obtained from fiber Bragg grating sensor. The results exhibited that the Monte-Carlo method can predicte the crack initiation direction effectively and conveniently.

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Monte Carlo simulation of polycrystalline microstructures and finite element stress analysis

Cited by 18 publications

References 24 publications

PCLab – A software with interactive graphical user interface for Monte Carlo and finite element analysis of microstructure-based layered composites

PCLab – A software with interactive graphical user interface for Monte Carlo and finite element analysis of microstructure-based layered composites

Correlation between the local stress and the grain misorientation in the polycrystalline Al₂O₃ measured by near-field luminescence spectroscopy

Research on Direction of Principal Stress Based on Monte-Carlo Method

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Monte Carlo simulation of polycrystalline microstructures and finite element stress analysis

Cited by 18 publications

References 24 publications

PCLab – A software with interactive graphical user interface for Monte Carlo and finite element analysis of microstructure-based layered composites

PCLab – A software with interactive graphical user interface for Monte Carlo and finite element analysis of microstructure-based layered composites

Correlation between the local stress and the grain misorientation in the polycrystalline Al2O3 measured by near-field luminescence spectroscopy

Research on Direction of Principal Stress Based on Monte-Carlo Method

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Product

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Correlation between the local stress and the grain misorientation in the polycrystalline Al₂O₃ measured by near-field luminescence spectroscopy