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  • Open Access

    PROCEEDINGS

    Integrated Multiscale Unified Phase-Field Modellings (UPFM)

    Yuhong Zhao1,2,3,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.30, No.4, pp. 1-1, 2024, DOI:10.32604/icces.2024.012951

    Abstract For a long time, the phase-field method has been considered as a mesoscale phenomenological method lacking physical accuracy and unable to be associated with the mechanical/functional properties of materials, etc. Some misunderstandings existing in these viewpoints need to be clarified. Therefore, it is necessary to propose or adopt the perspective of “unified or unifying phase-field modeling (UPFM)” to address these issues, which means that phase-field modeling has multiple unifications. Specifically, the phase-field method is the perfect unity of thermodynamics and kinetics, the unity of multi-scale models from micro- to meso- and then to macroscopic scale, More >

  • Open Access

    ARTICLE

    Paraelectric Doping Simultaneously Improves the Field Frequency Adaptability and Dielectric Properties of Ferroelectric Materials: A Phase-Field Study

    Zhi Wang1, Jinming Cao1, Zhonglei Liu1, Yuhong Zhao1,2,3,*

    CMC-Computers, Materials & Continua, Vol.81, No.1, pp. 213-228, 2024, DOI:10.32604/cmc.2024.055169 - 15 October 2024

    Abstract Recent years, the polarization response of ferroelectrics has been entirely studied. However, it is found that the polarization may disappear gradually with the continually applied of electric field. In this paper, taking K0.48Na0.52NbO3(KNN) as an example, it was demonstrated that the residual polarization began to decrease when the electric field frequency increased to a certain extent using a phase-field methods. The results showed that the content of out-of-plane domains increased first and then decreased with the increase of applied electric field frequency, the maximum polarization disappeared at high frequencies, and the hysteresis loop became elliptical. In More >

  • Open Access

    PROCEEDINGS

    Phase-Field Modeling of Interfacial Fracture in Quasicrystal Composites

    Hongzhao Li1, Peidong Li1,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.29, No.2, pp. 1-1, 2024, DOI:10.32604/icces.2024.012711

    Abstract Quasicrystals (QCs) are a new class of functional and structural materials with unusual properties, which have quasi-periodic translational symmetry and non-crystallographic rotational symmetry. Due to the special arrangement of atoms, compared with traditional materials, QCs have high strength, high hardness, and high wear resistance, and can be used as a particle reinforcement phase of polymer or metal matrix composites to improve the performance of materials. QC composites are a special type of composites in which the high strength and hardness of QCs can effectively enhance the mechanical properties of the composites while maintaining the lightweight… More >

  • Open Access

    PROCEEDINGS

    Thermal Shock Fracture of Functionally Graded Materials Based on the Phase-Field Fracture Method

    Yong Pang1, Peidong Li1,*, Dingyu Li2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.29, No.2, pp. 1-1, 2024, DOI:10.32604/icces.2024.011660

    Abstract The thermo-elastic fracture problems of functionally graded materials (FGMs) are thoroughly investigated based on a phase field model. In this model, the material constants and fracture toughness vary with the spatial coordinates, the thermal conductivity and stiffness constants in the damaged regions are degraded by the phase-field variable, and the crack evolution is driven by the variation of elastic energy induced by the thermo-mechanical loading. Therefore, the temperature, mechanical and damage fields are coupled with each other. The finite element discretization of the governing equations and the numerical implementation details are provided. The validation of… More >

  • Open Access

    ARTICLE

    A Non-Intrusive Stochastic Phase-Field for Fatigue Fracture in Brittle Materials with Uncertainty in Geometry and Material Properties

    Rajan Aravind1,2, Sundararajan Natarajan1, Krishnankutty Jayakumar2, Ratna Kumar Annabattula1,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.2, pp. 997-1032, 2024, DOI:10.32604/cmes.2024.053047 - 27 September 2024

    Abstract Understanding the probabilistic nature of brittle materials due to inherent dispersions in their mechanical properties is important to assess their reliability and safety for sensitive engineering applications. This is all the more important when elements composed of brittle materials are exposed to dynamic environments, resulting in catastrophic fatigue failures. The authors propose the application of a non-intrusive polynomial chaos expansion method for probabilistic studies on brittle materials undergoing fatigue fracture when geometrical parameters and material properties are random independent variables. Understanding the probabilistic nature of fatigue fracture in brittle materials is crucial for ensuring the… More >

  • Open Access

    ARTICLE

    Multiscale Simulation of Microstructure Evolution during Preparation and Service Processes of Physical Vapor Deposited c-TiAlN Coatings

    Yehao Long, Jing Zhong*, Tongdi Zhang, Li Chen, Lijun Zhang*

    CMC-Computers, Materials & Continua, Vol.79, No.3, pp. 3435-3453, 2024, DOI:10.32604/cmc.2024.051629 - 20 June 2024

    Abstract Physical Vapor Deposited (PVD) TiAlN coatings are extensively utilized as protective layers for cutting tools, renowned for their excellent comprehensive performance. To optimize quality control of TiAlN coatings for cutting tools, a multi-scale simulation approach is proposed that encompasses the microstructure evolution of coatings considering the entire preparation and service lifecycle of PVD TiAlN coatings. This scheme employs phase-field simulation to capture the essential microstructure of the PVD-prepared TiAlN coatings. Moreover, cutting simulation is used to determine the service temperature experienced during cutting processes at varying rates. Cahn-Hilliard modeling is finally utilized to consume the More >

  • Open Access

    REVIEW

    Phase-Field Simulation of Sintering Process: A Review

    Ming Xue, Min Yi*

    CMES-Computer Modeling in Engineering & Sciences, Vol.140, No.2, pp. 1165-1204, 2024, DOI:10.32604/cmes.2024.049367 - 20 May 2024

    Abstract Sintering, a well-established technique in powder metallurgy, plays a critical role in the processing of high melting point materials. A comprehensive understanding of structural changes during the sintering process is essential for effective product assessment. The phase-field method stands out for its unique ability to simulate these structural transformations. Despite its widespread application, there is a notable absence of literature reviews focused on its usage in sintering simulations. Therefore, this paper addresses this gap by reviewing the latest advancements in phase-field sintering models, covering approaches based on energy, grand potential, and entropy increase. The characteristics More >

  • Open Access

    ARTICLE

    Effect of Modulus Heterogeneity on the Equilibrium Shape and Stress Field of α Precipitate in Ti-6Al-4V

    Di Qiu1,3,4, Rongpei Shi2,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.140, No.1, pp. 1017-1028, 2024, DOI:10.32604/cmes.2024.048797 - 16 April 2024

    Abstract For media with inclusions (e.g., precipitates, voids, reinforcements, and others), the difference in lattice parameter and the elastic modulus between the matrix and inclusions cause stress concentration at the interfaces. These stress fields depend on the inclusions’ size, shape, and distribution and will respond instantly to the evolving microstructure. This study develops a phase-field model concerning modulus heterogeneity. The effect of modulus heterogeneity on the growth process and equilibrium state of the α plate in Ti-6Al-4V during precipitation is evaluated. The α precipitate exhibits strong anisotropy in shape upon cooling due to the interplay of the… More >

  • Open Access

    ARTICLE

    Phase-Field Simulation of δ Hydride Precipitation with Interfacial Anisotropy

    Hailong Nie1, Xincheng Shi1, Wenkui Yang1, Kaile Wang1, Yuhong Zhao2,1,3,*

    CMC-Computers, Materials & Continua, Vol.77, No.2, pp. 1425-1443, 2023, DOI:10.32604/cmc.2023.044510 - 29 November 2023

    Abstract Previous studies of hydride in zirconium alloys have mainly assumed an isotropic interface. In practice, the difference in crystal structure at the interface between the matrix phase and the precipitate phase results in an anisotropic interface. With the purpose of probing the real evolution of hydrides, this paper couples an anisotropy function in the interfacial energy and interfacial mobility. The influence of anisotropic interfacial energy and interfacial mobility on the morphology of hydride precipitation was investigated using the phase-field method. The results show that the isotropy hydride precipitates a slate-like morphology, and the anisotropic hydride… More >

  • Open Access

    PROCEEDINGS

    Oscillations of Rapid Fracture in Phase Field Modeling

    Jun Zeng1, Fucheng Tian1,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.2, pp. 1-1, 2023, DOI:10.32604/icces.2023.09636

    Abstract Instability in dynamic fracture suppresses crack velocity from reaching theoretical limit predicted by the classical linear elastic fracture mechanics (LEFM). In thin systems, crack can accelerate to near the theoretical limiting velocity without micro-branching instability. A dynamic oscillatory instability is observed at such extreme crack speed. This sinusoidal oscillation was further found to be governed by intrinsic nonlinear scale. Using a dynamic phase-field model (PFM) with no attenuation of wave speed, we successfully reproduce the oscillations in the framework of non-linear deformation. The used PFM model based on Griffith's theory and derived from the nonconservative… More >

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