In this article, a direct stress approach based on finite element analysis to determine the stress intensity factor is improved. Firstly, by comparing the rigorous solution against the asymptotic solution for a proble...In this article, a direct stress approach based on finite element analysis to determine the stress intensity factor is improved. Firstly, by comparing the rigorous solution against the asymptotic solution for a problem of an infinite plate embedded a central crack, we found that the stresses in a restrictive interval near the crack tip given by the rigorous solution can be used to determine the stress intensity factor, which is nearly equal to the stress intensity factor given by the asymptotic solution. Secondly, the crack problem is solved numerically by the finite element method. Depending on the modeling capability of the software, we designed an adaptive mesh model to simulate the stress singularity. Thus, the stress result in an appropriate interval near the crack tip is fairly approximated to the rigorous solution of the corresponding crack problem. Therefore, the stress intensity factor may be calculated from the stress distribution in the appropriate interval, with a high accuracy.展开更多
Metallic glasses(MGs),a metastable material far from equilibrium,exhibit intricate dynamic relaxation behaviors.The challenge lies in developing a model that accurately describes the dynamics and deforma-tion mechanis...Metallic glasses(MGs),a metastable material far from equilibrium,exhibit intricate dynamic relaxation behaviors.The challenge lies in developing a model that accurately describes the dynamics and deforma-tion mechanisms of MG.This paper introduces a model integrating dynamic relaxation with deformation behavior.Validation through dynamic mechanical analysis,stress relaxation,creep,and strain recovery tests confirm the existence of four deformation modes:elasticity,anelasticity fromβrelaxation,anelas-ticity fromαrelaxation at low temperatures,and viscoplasticity fromαrelaxation at high temperatures.The model captures all of these deformation modes.The dynamical mechanical spectrum and stress re-laxation spectrum unveil dynamic features during glass to liquid transition,and a simple and effective experimental method was developed for identifying ultra-low-frequency dynamic relaxation.This work provides new perspectives on the study of relaxation dynamics in glassy states and establishes impor-tant connections between dynamic relaxation behavior and deformation mechanisms.These findings lay a theoretical and experimental foundation for the broad application of MGs.展开更多
基金financial support of the National Natural Science Foundation of China (Grant 11572226)
文摘In this article, a direct stress approach based on finite element analysis to determine the stress intensity factor is improved. Firstly, by comparing the rigorous solution against the asymptotic solution for a problem of an infinite plate embedded a central crack, we found that the stresses in a restrictive interval near the crack tip given by the rigorous solution can be used to determine the stress intensity factor, which is nearly equal to the stress intensity factor given by the asymptotic solution. Secondly, the crack problem is solved numerically by the finite element method. Depending on the modeling capability of the software, we designed an adaptive mesh model to simulate the stress singularity. Thus, the stress result in an appropriate interval near the crack tip is fairly approximated to the rigorous solution of the corresponding crack problem. Therefore, the stress intensity factor may be calculated from the stress distribution in the appropriate interval, with a high accuracy.
基金supported by the National Natu-ral Science Foundation of China(Nos.12472069 and 52271153)the Natural Science Basic Research Plan for Distinguished Young Scholars in Shaanxi Province(No.2021JC-12)+5 种基金Guo-Jian Lyu is supported by the National Natural Science Foundation of China(No.52301219)the Fundamental Research Funds for the Cen-tral Universities(No.5000230147)Yun-Jiang Wang was finan-cially supported by the National Natural Science Foundation of China(No.12472112)Y.Yang acknowledges financial support from the Research Grant Council(RGC),the Hong Kong Government through the General Research Fund(GRF)(Nos.CityU11206362 and N_CityU109/21)E.Pineda acknowledges financial support from MCIN/AEI(Nos.PID2020-112975GB-I00/10.13039/501100011033 and CEX2023-001300-M/10.13039/501100011033)Generalitat de Catalunya(No.2021SGR00343).
文摘Metallic glasses(MGs),a metastable material far from equilibrium,exhibit intricate dynamic relaxation behaviors.The challenge lies in developing a model that accurately describes the dynamics and deforma-tion mechanisms of MG.This paper introduces a model integrating dynamic relaxation with deformation behavior.Validation through dynamic mechanical analysis,stress relaxation,creep,and strain recovery tests confirm the existence of four deformation modes:elasticity,anelasticity fromβrelaxation,anelas-ticity fromαrelaxation at low temperatures,and viscoplasticity fromαrelaxation at high temperatures.The model captures all of these deformation modes.The dynamical mechanical spectrum and stress re-laxation spectrum unveil dynamic features during glass to liquid transition,and a simple and effective experimental method was developed for identifying ultra-low-frequency dynamic relaxation.This work provides new perspectives on the study of relaxation dynamics in glassy states and establishes impor-tant connections between dynamic relaxation behavior and deformation mechanisms.These findings lay a theoretical and experimental foundation for the broad application of MGs.