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学者姓名：郑玉芳
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Abstract ：
To examine how different compositions and shapes of steel fibers influence the mechanical responses and damage behavior of ultra-high performance concrete (UHPC), several axial compression tests are performed. The impact of steel fiber on acoustic emission (AE) parameters of UHPC is studied based on the AE technology. The variation law of AE parameters during damage evolution is qualitatively analyzed. According to the development trend of AE energy and cumulative energy, the damage level of specimens is quantitatively investigated. The damage constitutive equation of UHPC is established based on the AE energy. The results show that steel fiber is beneficial to the strength and ductility of UHPC. The development trend of AE accumulative ringing count and accumulative energy show a similar growth rule with strain and have a good correspondence with the stress-strain curve. The damage evolution model based on AE energy and accumulative energy fits well with the test data, which can quantitatively analyze the damage level of UHPC under axial compression.
Keyword ：
acoustic emission acoustic emission axial compression axial compression damage evolution damage evolution Ultra-high performance concrete Ultra-high performance concrete
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| GB/T 7714 | Chen, Chang-ping , Jiang, He-ping , Zheng, Yu-fang . Mechanical properties and damage model of ultra-high performance concrete under axial compression [J]. | JOURNAL OF VIBRATION AND CONTROL , 2025 . |
| MLA | Chen, Chang-ping 等. "Mechanical properties and damage model of ultra-high performance concrete under axial compression" . | JOURNAL OF VIBRATION AND CONTROL (2025) . |
| APA | Chen, Chang-ping , Jiang, He-ping , Zheng, Yu-fang . Mechanical properties and damage model of ultra-high performance concrete under axial compression . | JOURNAL OF VIBRATION AND CONTROL , 2025 . |
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This paper presents the nonlinear chaotic mechanical model for magneto-electric elastic (MEE) laminated nanoplates, with the flexomagnetoelectric (FME) effect, subjected to multi-physical field excitation. Utilizing the high-order shear deformation theory (HSDT), Hamilton's principle, and the nonlinear strain-displacement relationships from von Karman's theory, the governing nonlinear equations for the system are derived. The application of the nonlocal strain gradient theory (NSGT) facilitates the consideration of the size effect in the system. The employment of the Airy stress function manages the nonlinear-nonlocal terms in the control equation. The accurate solution approach is ultimately formulated by combining the dual-mode Galerkin method with the fourth-order Runge-Kutta method. The outcomes indicate that the nonlinear chaotic behavior of MEE laminated nanoplates is substantially affected by the FME effect, hygrothermal conditions, and electromagnetic field. The research conducted in this paper intends to offer the comprehensive theoretical basis for the utilization of MEE nanomaterials in industrial engineering, alongside the derivation of criteria essential for mitigating and controlling the nonlinear chaotic behaviors within the system.
Keyword ：
airy stress function airy stress function flexomagnetoelectric effect flexomagnetoelectric effect HSDT HSDT MEE laminated nanoplates MEE laminated nanoplates nonlinear chaotic responses nonlinear chaotic responses nonlocal strain gradient theory nonlocal strain gradient theory
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| GB/T 7714 | Xu, Liang-liang , Chen, Chang-ping , Zheng, Yu-fang . Nonlinear chaotic dynamics analysis of magneto-electro-elastic laminated nanoplates considering flexomagnetoelectric effect in hygrothermal environments [J]. | JOURNAL OF VIBRATION AND CONTROL , 2025 . |
| MLA | Xu, Liang-liang 等. "Nonlinear chaotic dynamics analysis of magneto-electro-elastic laminated nanoplates considering flexomagnetoelectric effect in hygrothermal environments" . | JOURNAL OF VIBRATION AND CONTROL (2025) . |
| APA | Xu, Liang-liang , Chen, Chang-ping , Zheng, Yu-fang . Nonlinear chaotic dynamics analysis of magneto-electro-elastic laminated nanoplates considering flexomagnetoelectric effect in hygrothermal environments . | JOURNAL OF VIBRATION AND CONTROL , 2025 . |
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Abstract ：
Magnetoelectroelastic (MEE) materials, as smart composites consisting of piezoelectric and piezomagnetic phases, exhibit distinct phenomena: the piezoelectric phase generates a flexoelectric effect, and the piezomagnetic phase induces a flexomagnetic effect. Hence, understanding the influence of the flexomagnetoelectric (FME) effect on the mechanical characteristics of these materials during their application is crucial. This article investigates the nonlinear free oscillation response of MEE laminated nanoplates, considering the FME effect and elastic foundation, in hygrothermal environments. The derivation of the nonlinear dominant equations for the MEE laminated nanoplate with hydrothermal environments has been accomplished, grounded in the principles of Hamilton's principle, nonlocal strain gradient theory (NSGT), and the higher-order shear deformation theory (HSDT). Employing the Airy stress function serves as a means to handle the complexities arising from the nonlinear nonlocal terms. Moreover, the control equations are tackled by a combined approach that incorporates both the two-step perturbation method (TPM) and the Lindstedt-Poincare perturbation method for their solution. The TPM can obviate the necessity for making hypotheses or conjectures concerning the configuration function. Specifically, the effects of FME effects, NSGT parameters, elastic foundation parameters, dimensional parameters of the nanoplate, and various physical field parameters on the nonlinear free oscillation properties of the MEE nanoplate are meticulously examined. The findings of this study demonstrate significant application potential in the fields of nanosensors, actuators, and energy harvesters.
Keyword ：
flexomagnetoelectric effect flexomagnetoelectric effect HSDT HSDT magneto-electro-elastic laminated nanoplates magneto-electro-elastic laminated nanoplates nonlinear free vibration nonlinear free vibration nonlocal strain gradient theory nonlocal strain gradient theory two-step perturbation method two-step perturbation method
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| GB/T 7714 | Xu, Liang-liang , Zheng, Yu-fang , Chen, Chang-ping . Nonlinear free vibration analysis of magneto-electro-elastic laminated nanoplates with flexomagnetoelectric effect in hygrothermal environments [J]. | PHYSICA SCRIPTA , 2025 , 100 (1) . |
| MLA | Xu, Liang-liang 等. "Nonlinear free vibration analysis of magneto-electro-elastic laminated nanoplates with flexomagnetoelectric effect in hygrothermal environments" . | PHYSICA SCRIPTA 100 . 1 (2025) . |
| APA | Xu, Liang-liang , Zheng, Yu-fang , Chen, Chang-ping . Nonlinear free vibration analysis of magneto-electro-elastic laminated nanoplates with flexomagnetoelectric effect in hygrothermal environments . | PHYSICA SCRIPTA , 2025 , 100 (1) . |
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Abstract ：
The nonlinear bending behaviors of magneto-electro-elastic (MEE) laminated nanoplates under hygrothermal environments considering the flexomagnetoelectric (FME) effect are studied. The nonlinear governing equations for MEE nanoplates are derived utilizing the high-order shear deformation theory (HSDT), the Hamilton principle, and the nonlocal strain gradient theory (NSGT). These equations are subsequently solved using a numerical approach to analyze the impact of various parameters, including the FME effect, on the nonlinear bending behavior of the structure. This study enhances understanding of the FME effect on MEE material properties, expanding current knowledge in the field.
Keyword ：
flexomagnetoelectric effect flexomagnetoelectric effect high-order shear deformation theory high-order shear deformation theory Magneto-electro-elastic laminated nanoplates Magneto-electro-elastic laminated nanoplates nonlinear mechanics nonlinear mechanics nonlocal strain gradient theory nonlocal strain gradient theory
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| GB/T 7714 | Xu, Liang-Liang , Chen, Chang-Ping , Zheng, Yu-Fang . Nonlinear bending responses of magneto-electro-elastic laminated nanoplates with flexomagnetoelectric effect in hygrothermal environments [J]. | MECHANICS OF ADVANCED MATERIALS AND STRUCTURES , 2025 . |
| MLA | Xu, Liang-Liang 等. "Nonlinear bending responses of magneto-electro-elastic laminated nanoplates with flexomagnetoelectric effect in hygrothermal environments" . | MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2025) . |
| APA | Xu, Liang-Liang , Chen, Chang-Ping , Zheng, Yu-Fang . Nonlinear bending responses of magneto-electro-elastic laminated nanoplates with flexomagnetoelectric effect in hygrothermal environments . | MECHANICS OF ADVANCED MATERIALS AND STRUCTURES , 2025 . |
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Abstract ：
PurposeNowadays, traditional piezoelectric and piezomagnetic materials can no longer meet the diverse requirements in engineering. At this time, magneto-electric-elastic (MEE) materials that combine piezoelectric and piezomagnetic effects at the nanoscale have emerged as the times require. Among them, the magnetoelectric effect of layered composite materials is the most prominent. In addition, they are easy to prepare and cost less relatively, thus becoming a hot spot in the research of magnetoelectric materials. The main purpose is to analyze the nonlinear vibration behavior of MEE laminated nanostructures, and provide a theoretical foundation for the structural design and practical operation of MEE laminated nanostructures. MethodsBy availing of the Hamilton principle, Galerkin method and multiscale method, a nonlinear forced vibration model for the MEE sandwich nanobeam is established and solved. Results and ConclusionFor the purpose of comprehensively elucidating the impact of diverse factors, such as the nonlocal parameter, upon the nonlinear forced vibration behaviors of MEE sandwich nanobeam, a meticulous investigation into several distinct cases has been conducted. It is important that the nonlinear amplitude response and resonance frequency increase with the nonlocal scale, indicating that the nonlocal parameter highlights the hard spring property.
Keyword ：
Forced vibration Forced vibration Higher-order beam theory Higher-order beam theory MEE sandwich nanobeam MEE sandwich nanobeam Nonlocal theory Nonlocal theory Von Karman's geometric nonlinearity Von Karman's geometric nonlinearity
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| GB/T 7714 | Qu, De-yong , Zhang, Yu-fei , Zhou, Yang et al. Nonlinear Analysis of Forced Vibration of Higher-Order Sandwich Magneto-Electro-Elastic Nanobeam Using Nonlocal Theory [J]. | JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES , 2025 , 13 (2) . |
| MLA | Qu, De-yong et al. "Nonlinear Analysis of Forced Vibration of Higher-Order Sandwich Magneto-Electro-Elastic Nanobeam Using Nonlocal Theory" . | JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES 13 . 2 (2025) . |
| APA | Qu, De-yong , Zhang, Yu-fei , Zhou, Yang , Zheng, Yu-fang . Nonlinear Analysis of Forced Vibration of Higher-Order Sandwich Magneto-Electro-Elastic Nanobeam Using Nonlocal Theory . | JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES , 2025 , 13 (2) . |
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Abstract ：
This article investigates the nonlinear dynamic response of the magneto-electro-thermo-elastic (METE) laminated microbeams in post-buckling state considering the modified couple stress theory. Based on the nonlinear post-buckling dynamic model of the microbeam, considering the main parameter resonance, the model is solved and analyzed to obtain the nonlinear vibration amplitude frequency response relationship by applying the multi-scale method. Then, the Jacobi matrix is used for steady-state analysis of the microbeam. In numerical examples, the effects of material length scale parameter, magneto-electro-thermo field, axial static and dynamic loads, and span-thickness ratio on the dynamic instability region and amplitude frequency response curve of METE laminated microbeams are discussed. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.
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| GB/T 7714 | Zheng, Y.-F. , Liu, L.-C. , Qu, D.-Y. et al. Parametric resonances of buckled magneto-electro-thermo-elastic laminated microbeams based on modified couple stress theory [J]. | Microsystem Technologies , 2024 . |
| MLA | Zheng, Y.-F. et al. "Parametric resonances of buckled magneto-electro-thermo-elastic laminated microbeams based on modified couple stress theory" . | Microsystem Technologies (2024) . |
| APA | Zheng, Y.-F. , Liu, L.-C. , Qu, D.-Y. , Chen, C.-P. . Parametric resonances of buckled magneto-electro-thermo-elastic laminated microbeams based on modified couple stress theory . | Microsystem Technologies , 2024 . |
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This article investigates a comprehensive analysis of the bending problem pertaining to magneto-electro-elastic (MEE) nanobeams on the Winkler-Pasternak foundation. Taken into account the influence of size effects of nano structures, a non-classical mechanical model is established to describe the bending behavior for MEE nanobeams. In this research, the nonlocal modified couple stress theory is utilized to accurately capture both the softening and hardening effects resulting from the size effect. The theory of third-order shear deformation and von Karman geometric nonlinear theory are employed in conjunction with the introduction of Maxwell's equation to develop the model of MEE nanobeam, the control equation of the nonlinear bending problem of MEE nanobeams is obtained by Minimum potential energy principle, and it is solved by Galerkin method. Finally, this study provides a detailed discussion on the influences of the ratio of nonlocal parameters and length-scale parameters, Winkler-Pasternak coefficient, external magnetic potential, external voltage and span-thickness ratio on nonlinear deflection of nanobeam.
Keyword ：
Magneto-electro-elastic nanobeam Magneto-electro-elastic nanobeam Nonlinear bending behavior Nonlinear bending behavior Nonlocal modified couple stress theory Nonlocal modified couple stress theory Von Karman nonlinear theory Von Karman nonlinear theory
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| GB/T 7714 | Zheng, Yu-fang , Zhou, Yang , Wang, Feng et al. Nonlinear deformation analysis of magneto-electro-elastic nanobeams resting on elastic foundation by using nonlocal modified couple stress theory [J]. | EUROPEAN JOURNAL OF MECHANICS A-SOLIDS , 2024 , 103 . |
| MLA | Zheng, Yu-fang et al. "Nonlinear deformation analysis of magneto-electro-elastic nanobeams resting on elastic foundation by using nonlocal modified couple stress theory" . | EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 103 (2024) . |
| APA | Zheng, Yu-fang , Zhou, Yang , Wang, Feng , Chen, Chang-ping . Nonlinear deformation analysis of magneto-electro-elastic nanobeams resting on elastic foundation by using nonlocal modified couple stress theory . | EUROPEAN JOURNAL OF MECHANICS A-SOLIDS , 2024 , 103 . |
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Abstract ：
The nonlinear static behavior of hygrothermal magnetoelectroelastic(MEE) nanoplates considering the flexomagnetoelectric (FME) effect is researched by engaging the first-order shear deformation theory (FSDT). The constitutive equations of MEE nanoplates take into account the FME effect and hygrothermal effect. Leveraging the FSDT, von Karman's nonlinear equation and Hamilton's principle, the nonlinear control equation for hygrothermal MEE nanoplates can be derived by using the variational approach. The nonlocal strain gradient theory (NSGT) has application in the size effect of MEE nanoplates. The nonlocal nonlinear term in the control equation is handled by employing the Airy stress function, and then the non-linear mechanical model is solved by the Galerkin method. Thus, the nonlinear load-deflection curves (NLDC) of the MEE nanoplate are obtained via the introduction of material parameters, enabling an examination of the impact of various factors such as the FME effect, two small size parameters of NSGT and other parameters on the nonlinear bending behavior of MEE nanoplates. In conclusion, this study offers a theoretical foundation for taking into account the FME effect in the development of nanodevices, thereby contributing to advancements in this field.
Keyword ：
Airy stress function Airy stress function Flexomagnetoelectric effect Flexomagnetoelectric effect FSDT FSDT MEE nanoplates MEE nanoplates Nonlinear bending Nonlinear bending Nonlocal strain gradient theory Nonlocal strain gradient theory
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| GB/T 7714 | Xu, Liang Liang , Zheng, Yu Fang , Chen, Chang Ping . Nonlinear statics of magneto-electro-elastic nanoplates considering flexomagnetoelectric effect based on nonlocal strain gradient theory [J]. | THIN-WALLED STRUCTURES , 2024 , 201 . |
| MLA | Xu, Liang Liang et al. "Nonlinear statics of magneto-electro-elastic nanoplates considering flexomagnetoelectric effect based on nonlocal strain gradient theory" . | THIN-WALLED STRUCTURES 201 (2024) . |
| APA | Xu, Liang Liang , Zheng, Yu Fang , Chen, Chang Ping . Nonlinear statics of magneto-electro-elastic nanoplates considering flexomagnetoelectric effect based on nonlocal strain gradient theory . | THIN-WALLED STRUCTURES , 2024 , 201 . |
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Abstract ：
The size-dependent nonlinear vibration model of the magneto-electro-elastic (MEE) sandwich nanobeam on Winkler-Pasternak foundation is built based on nonlocal elasticity theory and Reddy's third-order shear deformation theory. Employing the Hamilton variational principle and von Karman's geometrically nonlinear theory, the nonlinear governing equation system of MEE sandwich nanobeam is deduced. The expressions of nonlinear frequency ratio and critical external electric and magnetic potential are derived with the perturbation method. Several cases are studied in order to show the influence of nonlocal parameter, Winkler and Pasternak elastic foundation, stacking sequence, external electric and magnetic potential on size-dependent nonlinear vibration behaviors of MEE simply supported sandwich nanobeam.
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| GB/T 7714 | Zheng, Yu-fang , Qu, De-yong , Liu, Li-chuan et al. Size-dependent nonlinear vibration analysis of nonlocal magneto-electro-elastic sandwich nanobeam based on Reddy's third-order shear deformation theory [J]. | MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS , 2024 , 30 (7) : 883-901 . |
| MLA | Zheng, Yu-fang et al. "Size-dependent nonlinear vibration analysis of nonlocal magneto-electro-elastic sandwich nanobeam based on Reddy's third-order shear deformation theory" . | MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS 30 . 7 (2024) : 883-901 . |
| APA | Zheng, Yu-fang , Qu, De-yong , Liu, Li-chuan , Chen, Chang-ping . Size-dependent nonlinear vibration analysis of nonlocal magneto-electro-elastic sandwich nanobeam based on Reddy's third-order shear deformation theory . | MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS , 2024 , 30 (7) , 883-901 . |
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Magneto-Electro-Elastic (MEE) Composites, as an innovative functional material blend, are composed of multiple materials, boasting exceptional strength, rigidity, and an extraordinary magneto-electric interaction effect. This paper establishes a nonlocal modified couple stress (NL-MCS) magneto-electro-elastic nanobeam dynamic model. To accurately capture the intricate influences of scale effects on nanostructures, This model meticulously examines scale effects from two distinct perspectives: leveraging nonlocal elasticity theory to elucidate the softening phenomena in nanostructures stemming from long-range particle interactions, and employing modified couple stress theory to reveal the hardening effects attributed to the rotational behavior of particles within the structure. By incorporating Von Karman geometric nonlinearity, Reddy's third-order shear deformation theory and Maxwell's equations, the governing equations for the nonlinear free vibration of MEE nanobeams are derived using Hamilton's principle. Finally, a two-step perturbation method is employed to solve these equations. Two-step perturbation method disintegrates the solution process into two stages, iteratively approximating and refining the solution, thereby progressively unraveling the intricate details and enhancing the precision of the solution in a systematic manner. Finally, the nonlinear free vibration behavior of MEE nanobeams is explored under the coupled magnetic-electric-elastic fields, with a focus on the effects of various factors that including length scale parameters, nonlocal parameters, Winkler-Pasternak coefficients, span-to-thickness ratios, applied voltages and magnetic potentials.
Keyword ：
magneto-electric-elastic nanobeam magneto-electric-elastic nanobeam nonlinear vibration nonlinear vibration nonlocal modified couple stress theory nonlocal modified couple stress theory two-step perturbation method two-step perturbation method von Karman geometric nonlinear theory von Karman geometric nonlinear theory
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| GB/T 7714 | Zhou, Yang , Zheng, Yu-fang , Wang, Feng et al. Size-dependent nonlinear free vibration of magneto-electro-elastic nanobeams by incorporating modified couple stress and nonlocal elasticity theory [J]. | PHYSICA SCRIPTA , 2024 , 99 (9) . |
| MLA | Zhou, Yang et al. "Size-dependent nonlinear free vibration of magneto-electro-elastic nanobeams by incorporating modified couple stress and nonlocal elasticity theory" . | PHYSICA SCRIPTA 99 . 9 (2024) . |
| APA | Zhou, Yang , Zheng, Yu-fang , Wang, Feng , Chen, Chang-ping . Size-dependent nonlinear free vibration of magneto-electro-elastic nanobeams by incorporating modified couple stress and nonlocal elasticity theory . | PHYSICA SCRIPTA , 2024 , 99 (9) . |
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