A new continuum model is developed to study the influence of surface stress on the behaviors of piezoelectric nanobeams. Different from existing piezoelectric surface models which only consider the surface properties,...A new continuum model is developed to study the influence of surface stress on the behaviors of piezoelectric nanobeams. Different from existing piezoelectric surface models which only consider the surface properties, the proposed model takes surfaceinduced initial fields into consideration. Due to the fact that the surface-induced initial fields are totally different under various boundary conditions, two kinds of beams, the doubly-clamped beam and the cantilever beam, are analyzed. Furthermore, boundary conditions can affect not only the initial state of the piezoelectric nanobeam but also the forms of the governing equations. Based on the Euler-Bernoulli beam theory, the nonlinear Green-Lagrangian strain-displacement relationship is applied. In addition, the surface area change is also considered in the proposed model. The governing equations of the doubly-clamped and cantilever beams are derived by the energy variation principle. Compared with existing Young-Laplace models, the proposed model for the doubly-clamped beam is similar to the Young-Laplace models. However, the governing equation of the cantilever beam derived by the proposed model is very different from that derived by the Young-Laplace models. The behaviors of piezoelectric nanobeams predicted by these two models also have significant discrepancies, which is owing to the surface-induced initial fields in the bulk beam.展开更多
In this current work,aluminum alloy grade 2024 is adopted as a plate material that is used in the rolling process with three different parameters including thickness reduction,forming temperature,and density of lubric...In this current work,aluminum alloy grade 2024 is adopted as a plate material that is used in the rolling process with three different parameters including thickness reduction,forming temperature,and density of lubrication type.The experimental procedure of the rolling process is performed using the design of the experiment based on the Taguchi technique(L27),then surface roughness,surface hardness,and surface residual stresses are measured.The results showed that the lubrication density has a significant impact on the surface roughness which depends on the lubrication properties(mineral oil type,natural fat,and kinematic viscosity)while surface hardness and surface residual stresses were strongly affected by thickness reduction.On the other side,the augment in forming temperature can decrease the quality of the final surface finish and the surface hardness but reduce the induced residual stresses.The best surface finish is obtained based on the optimum condition of the rolling factors are(R%_(3),T_(1),andρ_(3))while the optimum condition of rolling parameters that generate higher hardness and compressive residual stresses are(R%_(3)T_(1)ρ_(1)).展开更多
Residual stress during the machining process has always been a research hotspot,especially for aero-engine blades.The three-dimensional modeling and reconstructive laws of residual stress among various processes in th...Residual stress during the machining process has always been a research hotspot,especially for aero-engine blades.The three-dimensional modeling and reconstructive laws of residual stress among various processes in the machining process of the fan blade is studied in this paper.The fan blades of Ti-6Al-4V are targeted for milling,polishing,heat treatment,vibratory finishing,and shot peening.The surface and subsurface residual stress after each process is measured by the X-ray diffraction method.The distribution of the surface and subsurface residual stress is analyzed.The Rational Taylor surface function and cosine decay function are used to fit the characteristic function of the residual stress distribution,and the empirical formula with high fitting accuracy is obtained.The value and distribution of surface and subsurface residual stress vary greatly due to different processing techniques.The reconstructive change of the surface and subsurface residual stress of the blade in each process intuitively shows the change of the residual stress between the processes,which has a high reference significance for the research on the residual stress of the blade processing and the optimization of the entire blade process.展开更多
基金supported by the National Natural Science Foundation of China(Nos.10772106 and 11072138)the Natural Science Foundation of Shanghai(No.15ZR1416100)the Shanghai Leading Academic Discipline Project(No.S30106)
文摘A new continuum model is developed to study the influence of surface stress on the behaviors of piezoelectric nanobeams. Different from existing piezoelectric surface models which only consider the surface properties, the proposed model takes surfaceinduced initial fields into consideration. Due to the fact that the surface-induced initial fields are totally different under various boundary conditions, two kinds of beams, the doubly-clamped beam and the cantilever beam, are analyzed. Furthermore, boundary conditions can affect not only the initial state of the piezoelectric nanobeam but also the forms of the governing equations. Based on the Euler-Bernoulli beam theory, the nonlinear Green-Lagrangian strain-displacement relationship is applied. In addition, the surface area change is also considered in the proposed model. The governing equations of the doubly-clamped and cantilever beams are derived by the energy variation principle. Compared with existing Young-Laplace models, the proposed model for the doubly-clamped beam is similar to the Young-Laplace models. However, the governing equation of the cantilever beam derived by the proposed model is very different from that derived by the Young-Laplace models. The behaviors of piezoelectric nanobeams predicted by these two models also have significant discrepancies, which is owing to the surface-induced initial fields in the bulk beam.
文摘In this current work,aluminum alloy grade 2024 is adopted as a plate material that is used in the rolling process with three different parameters including thickness reduction,forming temperature,and density of lubrication type.The experimental procedure of the rolling process is performed using the design of the experiment based on the Taguchi technique(L27),then surface roughness,surface hardness,and surface residual stresses are measured.The results showed that the lubrication density has a significant impact on the surface roughness which depends on the lubrication properties(mineral oil type,natural fat,and kinematic viscosity)while surface hardness and surface residual stresses were strongly affected by thickness reduction.On the other side,the augment in forming temperature can decrease the quality of the final surface finish and the surface hardness but reduce the induced residual stresses.The best surface finish is obtained based on the optimum condition of the rolling factors are(R%_(3),T_(1),andρ_(3))while the optimum condition of rolling parameters that generate higher hardness and compressive residual stresses are(R%_(3)T_(1)ρ_(1)).
基金This work was funded by the National Natural Science Foundation of China(Grant Nos.51875472,91860206,and 51905440)the National Science and Technology Major Project(Grant No.2017-VII-0001-0094)+1 种基金the National Key Research and Development Plan in Shaanxi Province of China(Grant No.2019ZDLGY02-03)the Natural Science Basic Research Plan in Shaanxi Province of China(Grant No.2020JQ-186).
文摘Residual stress during the machining process has always been a research hotspot,especially for aero-engine blades.The three-dimensional modeling and reconstructive laws of residual stress among various processes in the machining process of the fan blade is studied in this paper.The fan blades of Ti-6Al-4V are targeted for milling,polishing,heat treatment,vibratory finishing,and shot peening.The surface and subsurface residual stress after each process is measured by the X-ray diffraction method.The distribution of the surface and subsurface residual stress is analyzed.The Rational Taylor surface function and cosine decay function are used to fit the characteristic function of the residual stress distribution,and the empirical formula with high fitting accuracy is obtained.The value and distribution of surface and subsurface residual stress vary greatly due to different processing techniques.The reconstructive change of the surface and subsurface residual stress of the blade in each process intuitively shows the change of the residual stress between the processes,which has a high reference significance for the research on the residual stress of the blade processing and the optimization of the entire blade process.
