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学者姓名：吁鹏飞
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Abstract ：
Classic thermoelectric coupling effects, such as the Seebeck effect, Peltier effect, and Thomson effect, highlight the significant impact of temperature on the electrical properties of materials. In contrast to these traditional effects, recent studies have identified the emergence of thermopolarization effects, where temperature gradients induce polarization changes in materials, leading to heat flow. Moreover, temperature gradients can also result in strain gradients within the material, which, unlike the piezoelectric effect, can induce polarization, giving rise to the flexoelectric effect. Despite the growing interest in thermopolarization phenomena, there remains a lack of thorough qualitative and quantitative analysis. In this study, we present a thermo-electro-elastic coupling model for an isotropic hollow cylinder incorporating thermopolarization and flexoelectric effects. This model necessitates modifications to the heat conduction equation, constitutive equation, and governing equation. Through numerical simulations, the impact of thermopolarization coefficient and flexoelectric coefficient on radial displacement, temperature, potential, and electrical displacement is investigated. The results show that the steady-state radial displacement and temperature initially increase and then decrease with variations in the thermal polarization coefficient. Moreover, an increase in the thermal polarization coefficient speeds up the thermo-electro-elastic coupling process towards a steady state. Additionally, mutual interactions between flexoelectric and thermal polarization effects are observed. This comprehensive model provides valuable insights for the design and optimization of microelectronic devices.
Keyword ：
flexoelectric effect flexoelectric effect temperature gradient temperature gradient thermo-electro-elastic coupling thermo-electro-elastic coupling thermopolarization effect thermopolarization effect
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| GB/T 7714 | Yu, Pengfei , Yang, Dianhan , Peng, Liming et al. Analysis of Flexoelectric Hollow Cylinder with Thermopolarization Effect [J]. | MECHANICS OF SOLIDS , 2024 , 59 (5) : 3024-3037 . |
| MLA | Yu, Pengfei et al. "Analysis of Flexoelectric Hollow Cylinder with Thermopolarization Effect" . | MECHANICS OF SOLIDS 59 . 5 (2024) : 3024-3037 . |
| APA | Yu, Pengfei , Yang, Dianhan , Peng, Liming , Suo, Yaohong , Wu, Yihan . Analysis of Flexoelectric Hollow Cylinder with Thermopolarization Effect . | MECHANICS OF SOLIDS , 2024 , 59 (5) , 3024-3037 . |
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Abstract ：
Thermopolarization effect, refers to the coupling between electric polarization and temperature gradient, represents the linear response of electric polarization to temperature gradient. Although the thermal polarization effect was observed in many experiments, the qualitative and quantitative effects of thermal polarization on solids have not been studied. Thus, to clarify the quantitative impact of thermopolarization effect, based on the linear piezoelectric theory, the fundamental equations of the thermal-piezoelectric dielectric with the thermopolarization effect were derived, and a hollow piezoelectric cylinder was analyzed. The results show that the increasing thermopolarization coefficient can change the radial stress and circumferential stress sign, which is helpful to regulate the stress distribution in the cylinder. Besides, an interesting result shows that the increasing thermopolarization coefficient can shorten the time of the coupling process to the steady state. These results are useful for understanding the basic mechanical and physical properties of the thermo-electro-elastic multi-field coupling of piezoelectric cylinders. It helps to provide useful guidance for the design of microelectronic devices working in harsh environments.
Keyword ：
Piezoelectric Piezoelectric temperature gradient temperature gradient thermo-electro-mechanical coupling thermo-electro-mechanical coupling thermopolarization effect thermopolarization effect
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| GB/T 7714 | Yu, Pengfei , Peng, Liming , Suo, Yaohong . Thermo-electro-elastic analysis of piezoelectric hollow cylinder with thermopolarization effect [J]. | JOURNAL OF THERMAL STRESSES , 2023 , 47 (2) : 250-262 . |
| MLA | Yu, Pengfei et al. "Thermo-electro-elastic analysis of piezoelectric hollow cylinder with thermopolarization effect" . | JOURNAL OF THERMAL STRESSES 47 . 2 (2023) : 250-262 . |
| APA | Yu, Pengfei , Peng, Liming , Suo, Yaohong . Thermo-electro-elastic analysis of piezoelectric hollow cylinder with thermopolarization effect . | JOURNAL OF THERMAL STRESSES , 2023 , 47 (2) , 250-262 . |
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In this manuscript, a functionally graded beam model considering both flexoelectric and dynamic flexoelectric effects was established. Based on the modified strain gradient theory, the governing equation was reformulated, which included the effects of the dynamic flexoelectric coefficient and the material length scale parameters. Using the electrical open circuit condition, a analytical solutions of the lateral displacement and axial displacement under static bending were obtained. In order to further analyze the influence of dynamic flexoelectric effect on the natural frequency of free vibration, the frequency equation was obtained from Navier method. Numerical results show that the electric potential, polarization, and energy efficiency of functionally graded beam can be controlled by adjusting the gradient index and material length scale parameters. In addition, the simulation results also show that the dynamic flexoelectric effect coefficient has a more significant effect on the natural frequency at small span ratios. This work can provide helpful guidance for designing energy harvesting devices in functionally graded materials.
Keyword ：
dynamic flexoelectricity dynamic flexoelectricity flexoelectricity flexoelectricity functional graded nanobeam functional graded nanobeam the modified strain gradient theory the modified strain gradient theory
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| GB/T 7714 | Zhang, Haowei , Leng, Weifeng , Wang, Hailong et al. Vibration of Two-Dimensional Functionally Graded Beam with Dynamic Flexoelectric Effect [J]. | MECHANICS OF SOLIDS , 2022 . |
| MLA | Zhang, Haowei et al. "Vibration of Two-Dimensional Functionally Graded Beam with Dynamic Flexoelectric Effect" . | MECHANICS OF SOLIDS (2022) . |
| APA | Zhang, Haowei , Leng, Weifeng , Wang, Hailong , Suo, Yaohong , Yu, Pengfei . Vibration of Two-Dimensional Functionally Graded Beam with Dynamic Flexoelectric Effect . | MECHANICS OF SOLIDS , 2022 . |
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Experiments have shown that stress has a significant effect on the hysteresis loop of the electrode potential while charging or discharging Li-ion batteries. In this work, considering the influence of stress on lithium-ion diffusion and electrode potential, a fully coupled electro-chemo-mechanical model is developed in a spherical electrode particle under galvanostatic operation. Then, some simulations are carried out to investigate the distribution of lithium-ion concentration, diffusion-induced stresses and electric potential. Meanwhile, the influences of C-rate and electrode particle radius are also discussed. Numerical results show that the smaller C-rate and electrode particle radius are beneficial in reducing the diffusion-induced stresses and improving the effective capacity of Li-ion batteries. Finally, some comparisons of lithium-ions concentration and the hysteresis of electrode potential between the present model and Jin's model (without the effect of deformation on diffusion) are performed. The work can provide some tips for designing electrodes in Li-ion batteries with a high capacity and durability.
Keyword ：
Diffusion-induced stress Diffusion-induced stress Electro-chemo-mechanical model Electro-chemo-mechanical model Lithium-ion batteries Lithium-ion batteries Voltage hysteresis Voltage hysteresis
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| GB/T 7714 | Yu, Pengfei , Xiao, Junwen , Hu, Hai et al. A Coupled Electro-Chemo-Mechanical Model for Li-ion Batteries: Effect of Stress on the Voltage Hysteresis of Lithium Ion Batteries [J]. | INTERNATIONAL JOURNAL OF ELECTROCHEMICAL SCIENCE , 2021 , 16 (10) . |
| MLA | Yu, Pengfei et al. "A Coupled Electro-Chemo-Mechanical Model for Li-ion Batteries: Effect of Stress on the Voltage Hysteresis of Lithium Ion Batteries" . | INTERNATIONAL JOURNAL OF ELECTROCHEMICAL SCIENCE 16 . 10 (2021) . |
| APA | Yu, Pengfei , Xiao, Junwen , Hu, Hai , Lin, Mingju , Suo, Yaohong . A Coupled Electro-Chemo-Mechanical Model for Li-ion Batteries: Effect of Stress on the Voltage Hysteresis of Lithium Ion Batteries . | INTERNATIONAL JOURNAL OF ELECTROCHEMICAL SCIENCE , 2021 , 16 (10) . |
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Dynamic flexoelectric effect refers to the coupling between polarization and acceleration of a material, which is usually ignored in previous works. However, when the thickness of the beam decreases to nanometer scale, the strain gradient increases sharply, it is not accurate to only consider the static flexoelectric effect. The aim of this manuscript is to study the static bending and vibration frequency of the functional gradient piezoelectric nanobeam with the dynamic flexoelectric effect. The governing equations and boundary conditions are derived from variational principle. Different from the classical electric Gauss equations, electric field equilibrium equation has be amended in this manuscript. Then, parameter studies are given to examine the influence of dynamic flexoelectric effect coefficient, applied voltage and gradient index on the static deformations and free vibration frequencies of FGM piezoelectricity nanobeam. The numerical results show that the dynamic flexoelectric effect are significant in investigation on higher-order vibration modes of FGM nanobeam, while gradient index has a vital influence on dimensionless frequency of each mode. In addition, it is observed that the effective stiffness is obviously affected by the gradient index, piezoelectricity and flexoelectricity. The model is helpful to supply some useful guidelines for designing energy harvesting devices at nanometer scale.
Keyword ：
Dynamic flexoelectricity Dynamic flexoelectricity Flexoelectricity Flexoelectricity Free vibration Free vibration Functional graded nanobeam Functional graded nanobeam Static deformation Static deformation
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| GB/T 7714 | Yu, Pengfei , Leng, Weifeng , Peng, Liming et al. The bending and vibration responses of functionally graded piezoelectric nanobeams with dynamic flexoelectric effect [J]. | RESULTS IN PHYSICS , 2021 , 28 . |
| MLA | Yu, Pengfei et al. "The bending and vibration responses of functionally graded piezoelectric nanobeams with dynamic flexoelectric effect" . | RESULTS IN PHYSICS 28 (2021) . |
| APA | Yu, Pengfei , Leng, Weifeng , Peng, Liming , Suo, Yaohong , Guo, Jinquan . The bending and vibration responses of functionally graded piezoelectric nanobeams with dynamic flexoelectric effect . | RESULTS IN PHYSICS , 2021 , 28 . |
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The flexoelectricity, which is a new electromechanical coupling phenomenon between strain gradients and electric polarization, has a great influence on the fracture analysis of flexoelectric solids due to the large gradients near the cracks. On the other hand, although the flexoelectricity has been extensively investigated in recent decades, the study on flexoelectricity in nonhomogeneous materials is still rare, especially the fracture problems. Therefore, in this manuscript, the conservation integrals for nonhomogeneous flexoelectric materials are obtained to solve the fracture problem. Application of operators such as grad, div, and curl to electric Gibbs free energy and internal energy, the energy-momentum tensor, angular momentum tensor, and dilatation flux can also be derived. We examine the correctness of the conservation integrals by comparing with the previous work and discuss the operator method here and Noether theorem in the previous work. Finally, considering the flexoelectric effect, a nonhomogeneous beam problem with crack is solved to show the application of the conservation integrals.
Keyword ：
conservation integrals conservation integrals energy-momentum tensor energy-momentum tensor flexoelectricity flexoelectricity nonhomogeneous materials nonhomogeneous materials
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| GB/T 7714 | Yu, Pengfei , Leng, Weifeng , Suo, Yaohong . Conservation Integrals in Nonhomogeneous Materials with Flexoelectricity [J]. | APPLIED SCIENCES-BASEL , 2021 , 11 (2) . |
| MLA | Yu, Pengfei et al. "Conservation Integrals in Nonhomogeneous Materials with Flexoelectricity" . | APPLIED SCIENCES-BASEL 11 . 2 (2021) . |
| APA | Yu, Pengfei , Leng, Weifeng , Suo, Yaohong . Conservation Integrals in Nonhomogeneous Materials with Flexoelectricity . | APPLIED SCIENCES-BASEL , 2021 , 11 (2) . |
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Electro-migration, diffusion-induced stress and their interaction have a significant impact on the electrode materials' performance and reliability. However, electro-migration is neglected in most existed models. In this work, a coupled electro-chemo-mechanical model with electro-migration is developed by using Gauss law, mass balance and equilibrium equation. The diffusion flux is separated into two parts: one is the gradient of concentration, and the other is the coupling terms including the concentration-hydrostatic pressure gradient term and the concentration-electric potential gradient term. Then some numerical simulations in a hollow spherical electrode of LiMn2O4 are carried out under potentiostatic and galvanostatic operations to capture how the electro-migration impacts on the lithium-ion concentration, radial stress and hoop stress. The numerical results reveal that the electro-migration plays a significant role in the diffusion (lithium-ion concentration) and mechanical deformation in the hollow spherical electrode for larger diffusion time; when the electrical potential at the inner surface is smaller than that at the outer surface, the charging efficiency will be improved and the stresses in the electrode will be descended.
Keyword ：
Diffusion induced stress Diffusion induced stress Electro-chemo-mechanical coupling Electro-chemo-mechanical coupling Electro-migration Electro-migration Lithium-ion battery Lithium-ion battery
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| GB/T 7714 | Liu, Xiaoming , Hu, Hai , Suo, Yaohong et al. Analysis of Diffusion Induced Deformation Considering Electro-Migration in Lithium-ion Batteries [J]. | INTERNATIONAL JOURNAL OF ELECTROCHEMICAL SCIENCE , 2020 , 15 (7) : 6012-6023 . |
| MLA | Liu, Xiaoming et al. "Analysis of Diffusion Induced Deformation Considering Electro-Migration in Lithium-ion Batteries" . | INTERNATIONAL JOURNAL OF ELECTROCHEMICAL SCIENCE 15 . 7 (2020) : 6012-6023 . |
| APA | Liu, Xiaoming , Hu, Hai , Suo, Yaohong , Yu, Pengfei . Analysis of Diffusion Induced Deformation Considering Electro-Migration in Lithium-ion Batteries . | INTERNATIONAL JOURNAL OF ELECTROCHEMICAL SCIENCE , 2020 , 15 (7) , 6012-6023 . |
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Composition-gradient electrodes with their excellent electrochemical performance and mechanical durability are superior to homogeneous ones. In this work, taking into account the local solid reaction and composition-gradient electrode, a generalized diffusion-deformation-reaction model with E, D, and omega-dependent r under potentiostatic operation is developed. Then, some numerical simulations are performed to obtain the evolutions of concentration, radial stress, and tangential stress. The influences of Thiele number and reaction order on the concentration and stresses are also discussed. Finally, some comparisons between composition-gradient electrodes and homogeneous ones are made to show that the composition-gradient electrode is more helpful to improve the mechanical durability of Li-ion batteries than the homogeneous one.
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| GB/T 7714 | Hu, Hai , Yu, Pengfei , Suo, Yaohong . Stress induced by diffusion and local chemical reaction in spherical composition-gradient electrodes [J]. | ACTA MECHANICA , 2020 , 231 (7) : 2669-2678 . |
| MLA | Hu, Hai et al. "Stress induced by diffusion and local chemical reaction in spherical composition-gradient electrodes" . | ACTA MECHANICA 231 . 7 (2020) : 2669-2678 . |
| APA | Hu, Hai , Yu, Pengfei , Suo, Yaohong . Stress induced by diffusion and local chemical reaction in spherical composition-gradient electrodes . | ACTA MECHANICA , 2020 , 231 (7) , 2669-2678 . |
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Recently, a larger flexoelectric-like response in a bending semiconductor was found by Narvaez et al. This fact indicates that the electrochemical processes have a great influence on flexoelectricity. Thus, study on the coupling between the electrochemical process and the flexoelectric effect is crucial. In this paper, the classical Noether theorem is applied to the dissipative electrochemomechanical processes with consideration of the flexoelectric effect and the strain gradient. The necessary and sufficient conditions for obtaining the symmetry transformation are derived. Several conservation integrals, including J- and L-integrals, are obtained. Then, the relation of the J- and L-integrals with the energy release rate is verified. We also show that J-integral here can reduce to the result in previous work. Finally, a Mode III crack problem taking the flexoelectric effect into account is discussed to show the path-independence of the J-integral. (C) 2018 Elsevier Ltd. All rights reserved.
Keyword ：
Conservation integrals Conservation integrals Dissipative mechanical-electrochemical coupling processes Dissipative mechanical-electrochemical coupling processes Flexoelectricity Flexoelectricity Noether theorem Noether theorem
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| GB/T 7714 | Yu, Pengfei , Chen, Jianyong , Wang, Hailong et al. Path-independent integrals in electrochemomechanical systems with flexoelectricity [J]. | INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES , 2018 , 147 : 20-28 . |
| MLA | Yu, Pengfei et al. "Path-independent integrals in electrochemomechanical systems with flexoelectricity" . | INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 147 (2018) : 20-28 . |
| APA | Yu, Pengfei , Chen, Jianyong , Wang, Hailong , Liang, Xu , Shen, Shengping . Path-independent integrals in electrochemomechanical systems with flexoelectricity . | INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES , 2018 , 147 , 20-28 . |
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Abstract ：
最近,Narvaez等人发现在弯曲半导体中具有更大的类似挠曲电荷的响应。这一事实表明电化学过程对挠曲电有很大影响。因此,研究电化学过程和挠曲电效应之间的耦合是比较重要的。考虑挠曲电效应和应变梯度,本文将经典Noether定理应用于耗散电化学力学过程,导出了几种保守积分,包括经典的J-和L-积分,并验证了J-和L-积分与能量释放率的关系。最后,讨论了考虑挠曲电效应的模式III裂纹问题,以证明J积分的路径独立性。
Keyword ：
力电化耗散系统 力电化耗散系统 守恒积分 守恒积分 挠曲电 挠曲电 诺特定理 诺特定理
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| GB/T 7714 | 吁鹏飞 , 陈建勇 , 王海龙 et al. 考虑挠曲电力电化耗散系统中的守恒积分 [C] //2018年全国固体力学学术会议摘要集（上） . 2018 . |
| MLA | 吁鹏飞 et al. "考虑挠曲电力电化耗散系统中的守恒积分" 2018年全国固体力学学术会议摘要集（上） . (2018) . |
| APA | 吁鹏飞 , 陈建勇 , 王海龙 , 申胜平 . 考虑挠曲电力电化耗散系统中的守恒积分 2018年全国固体力学学术会议摘要集（上） . (2018) . |
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