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

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 >

Ming Xue, Min Yi^*

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

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 >

Di Qiu^1,3,4, Rongpei Shi^2,*

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

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 >

Hailong Nie¹, Xincheng Shi¹, Wenkui Yang¹, Kaile Wang¹, Yuhong Zhao^2,1,3,*

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

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 >

Jun Zeng¹, Fucheng Tian^1,*

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 >

Jiale Ji^1,*, Mengnan Zhang¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.2, pp. 1-1, 2023, DOI:10.32604/icces.2023.09632

Abstract The phase-field fracture (PFF) approach has achieved great triumphs in modeling quasi-static fracture. Nevertheless, its reliability in serving dynamic fractures still leaves something to be desired, such as the prediction of the limiting crack velocity. Using a pre-strained fracture configuration, we discovered a disturbing phenomenon that the crack limiting speed identified by the dynamic PFF model is not related to the specific material, which seriously deviates from the experimental observation. To ascertain the truth, we first ruled out the correlation between the limiting crack velocity on the phase-field characteristic scale and external loading. Afterward, by More >

Haibo Su¹, Liang Wang^1,*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.2, pp. 1-1, 2023, DOI:10.32604/icces.2023.09611

Abstract This work presents a novel double-phase-field formulation to characterize the distinct damage mechanisms and the mixed-mode cohesive fracture behaviors in fiber-reinforced composites (FRC). A hybrid phase field formulation is first proposed to derive the phase field and stress through distinct energy functionals. Then, the phase field degradation function and material damaged stiffness are properly defined based on the unique failure mechanisms, which enable the derivation of the embedded Hashin failure criteria for fiber and matrix failures in FRC respectively. Furthermore, the mixed-model cohesive law with linear softening is analytically derived within the phase field framework More >

Liang Wang^1,*, Haibo Su¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.2, pp. 1-1, 2023, DOI:10.32604/icces.2023.09107

Abstract This work proposes a novel multi-phase-field formulation to characterize the distinct damage mechanisms and quasi-brittle fracture behaviors in FRC. The phase field driving forces for each failure mechanisms are first defined based on an anisotropic energy split scheme. Then, the PF degradation functions pertinent to each failure mode are properly defined with corresponding material fracture quantities, which enables the derivation of embedded Hashin failure criteria for fiber- and matrix failures respectively. Furthermore, the material damaged stiffness is redefined within the anisotropic CDM framework, and a linear CZM is mathematically derived for each of the typical More >

Liulei Hao¹, Hongjun Yu^1,*, Licheng Guo¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.2, pp. 1-1, 2023, DOI:10.32604/icces.2023.08918

Abstract To overcome the harsh experimental conditions of determining the mode-II critical energy release rate G_IIC, a flexible experiment-simulation method for determining G_IIC is proposed based on the mixed-mode fracture experiments and the corresponding simulations by the mixed-mode phase-field model. In details, a mixedmode fracture experiment is first conducted to obtain the initial crack deflection angle. Subsequently, a series of phase-field simulations are conducted by altering the value of G_IC/G_IIC to reproduce the experimental result so as to determine the value of G_IIC with a known G_IC. Three mixed-mode fracture tests (single edge cracked circular test, central crack rectangular… More >

Zhiheng Luo¹, Lin Chen², Nan Wang¹, Bin Li^1,*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.25, No.4, pp. 1-1, 2023, DOI:10.32604/icces.2022.08813

Abstract Anisotropy is inherent in many materials, either because of the manufacturing process, or due to their microstructure, and can markedly influence the failure behavior. Anisotropic materials obviously possess both anisotropic elasticity and anisotropic fracture surface energy. Phase-field methods are elegant and mathematically well-grounded, and have become popular for simulating isotropic and anisotropic brittle fracture. Here, we developed a variational phase-field model for strongly anisotropic fracture, which accounts for the anisotropy both in elastic strain energy and in fracture surface energy, and the asymmetric behavior of cracks in traction and in compression. We implement numerically our… More >