W/ Cu functionally gradient materials （FGMs） containing 1% La2O3 and 1% TiC were prepared using graded sintering under tdtra-high pressure （GSUHP）. The specimens have been found to exhibit low porosity （11.57% an...W/ Cu functionally gradient materials （FGMs） containing 1% La2O3 and 1% TiC were prepared using graded sintering under tdtra-high pressure （GSUHP）. The specimens have been found to exhibit low porosity （11.57% and 11.35%, respectively）. Shearing strength of the specimens between layers is good. Moreover, the specimens have still demonstrated good performance in testing thermal-shock resistance. When power density of laser is 200MWm^-2, the specimens have been tested for thermal-shock resistance （1000 times）; the specimens that contained 1%La2O3 were not subjected to damage, whereas those that contained 1%TiC began to crack. Finally, effect of additives on thermal-shock resistance was also preliminarily discussed.展开更多
An improved meshfree moving-Kriging(MK)formulation for free vibration analysis of functionally graded material-functionally graded carbon nanotube-reinforced composite(FGM-FGCNTRC)sandwich shells is first proposed in ...An improved meshfree moving-Kriging(MK)formulation for free vibration analysis of functionally graded material-functionally graded carbon nanotube-reinforced composite(FGM-FGCNTRC)sandwich shells is first proposed in this article.The proposed sandwich structure consists of skins of FGM layers and an FGCNTRC core.This structure possesses all the advantages of FGM and FGCNTRC,including high electrical or thermal insulating properties,high fatigue resistance,good corrosion resistance,high stiffness,low density,high strength,and high aspect ratios.Such sandwich structures can be used to replace conventional FGM structures.The present formulation has been established by using an improved meshfree MK method and the first-order shear deformation shell theory(FSDT).The effective material characteristics of the FGM-skin layers and the FGCNTRC core were calculated using the rule of mixture.Key parameters and factors such as the thickness-to-radius ratio,the length-to-radius ratio,layer-thickness ratios,CNT distributions,the volume fraction of CNTs,the power-law index,and various boundary conditions were rigorously investigated.A nonlinear CNT distribution that we term FG-nX is first proposed in this work,and many new results of FGM-FGCNTRC sandwich shells have been provided.展开更多
This paper proposes a novel three-directional functionally graded(3D FG)vibration energy harvesting model based on a bimorph pipe structure.A rectangular pipe has material properties that vary continuously along the a...This paper proposes a novel three-directional functionally graded(3D FG)vibration energy harvesting model based on a bimorph pipe structure.A rectangular pipe has material properties that vary continuously along the axial,width,and height directions,and a steady fluid flows inside the pipe.Two piezoelectric layers are attached to the upper and lower surfaces of the pipe,and are connected in series with a load resistance.The output electricity is predicted theoretically and validated by finite element(FE) simulation.The complex mechanisms regulating the energy harvesting performance are investigated,focusing particularly on the effects of 3D FG material(FGM) parameters,load resistance,fluid-structure interaction(FSI),and geometry.Numerical results indicate that among several material gradient parameters,the axial gradient index has the most significant impact.Increasing the axial and height gradient indices can markedly enhance the energy harvesting performance.The optimal resistances differ between the first two modes.Overall,the maximum power is generated at lower resistances.The FSI effect can also improve the energy harvesting performance;however,higher flow velocities may destabilize the system,causing failure of harvesting energy.This research is capable of providing new insights into the design of a pipe energy harvester in engineering applications.展开更多
This study examines the nonlinear behaviors of a clamped-clamped porous pipe made of a functionally graded material(FGM)that conveys fluids and is equipped with a retaining clip,focusing on primary resonance and subcr...This study examines the nonlinear behaviors of a clamped-clamped porous pipe made of a functionally graded material(FGM)that conveys fluids and is equipped with a retaining clip,focusing on primary resonance and subcritical dynamics.The nonlinear governing equations for the FGM pipe are derived by the extended Hamilton's principle,and subsequently discretized through the application of the Galerkin method.The direct method of multi-scales is then used to solve the derived equations.A thorough analysis of various parameters,including the clip stiffness,the power-law index,the porosity,and the clip location,is conducted to gain a comprehensive understanding of the system's nonlinear dynamics.Through the analysis of the first natural frequency,the study highlights the influence of the flow velocity and the clip stiffness,while the comparisons with metallic pipes emphasize the role of FGM composition.The examination of the forced response curves reveals saddle-node bifurcations and their dependence on parameters such as the detuning parameter and the power-law index,offering valuable insights into the system's nonlinear resonant behavior.Furthermore,the frequency-response curves illustrate the hardening nonlinearities influenced by factors such as the porosity and the clip stiffness,revealing nuanced effects on the system response and resonance characteristics.This comprehensive analysis enhances the understanding of nonlinear behaviors in FGM porous pipes with a retaining clip,providing key insights for practical engineering applications in system design and optimization.展开更多
本文主要研究了FGM Copula相依下随机变量二阶顺序统计量的随机比较,给出了二阶顺序统计量之间普通随机序、增凸序与增凹序关系成立的充分条件,并通过数值例子说明了主要结论。This paper investigates the stochastic comparison of se...本文主要研究了FGM Copula相依下随机变量二阶顺序统计量的随机比较,给出了二阶顺序统计量之间普通随机序、增凸序与增凹序关系成立的充分条件,并通过数值例子说明了主要结论。This paper investigates the stochastic comparison of second-order statistics from dependent random samples with FGM Copula. Sufficient conditions are established on the usual stochastic order, the increasing convex order and the increasing concave order for the second-order statistic. And some numerical examples are provided to illustrate the theoretical results.展开更多
Functionally Graded Materials(FGMs)are innovative advanced quality materials in the field of composites concerning their strength,mechanical,and thermal properties.Nowadays,the modern requirement of the industry in th...Functionally Graded Materials(FGMs)are innovative advanced quality materials in the field of composites concerning their strength,mechanical,and thermal properties.Nowadays,the modern requirement of the industry in the fields of health care,aerospace,and power sectors needs the rapid evolution of new components,which allows researchers to invent new materials to satisfy the functional requirements of modern technology.Tissue engineering is one of the most concerned areas of the application of FGM in the healthcare sector,where the tailored properties of FGM play a significant role in building and growing an artificial structure that heals the damaged tissue of the body parts and meets the desired application that the part needs to perform.This paper highlights the suitability of the combination of a nano⁃structure enhanced epoxy functionally graded material,its properties,and applicability in the design of a prosthetic foot where it provides the mobility and comfort of the body part like natural tissue.The analytical study is done by designing an ANSYS model and simulating the results of equivalent stress and directional deformation.The Finite Element(FE)approach is used to optimize the output results of stress⁃strain analysis,different weight percentages of nano⁃filler are taken for performance enhancement.A comparative analysis is done with the previously established results taking carbon fiber⁃reinforced composites that offer a successful validation of the present results obtained.Furthermore,this study also provides a clear understanding of the justification of the composition considered for the effective application in the field of prosthetics field.展开更多
The three-phase-lag(TPL)heat conduction model is an accurate representation of the actual heat transfer process.It would be interesting to investigate how the TPL model affects the thermal fracture behavior when there...The three-phase-lag(TPL)heat conduction model is an accurate representation of the actual heat transfer process.It would be interesting to investigate how the TPL model affects the thermal fracture behavior when there are defects existing in the medium.This paper aims to analyze the thermoelastic responses of two collinear cracks within a functionally graded half-space under thermal loadings by means of the TPL model.The thermoelastic problem is transformed into a series of singular integral equations using the integral transformation methods.The transient temperature and stress intensity factors(SIFs)are obtained through the application of Chebyshev polynomials.The effects of crack spacing and non-homogeneous parameters on the transient thermoelastic responses are presented,and the results of the TPL model are compared with those of the Fourier model,Cattaneo and Vernotte(CV)model,and dual-phase-lag(DPL)model.It is shown that crack spacing and non-homogeneous parameters have important effects on the thermoelastic responses,and the fluctuation phenomenon under the TPL model is the most pronounced due to the existence of the thermal displacement lag term.展开更多
In this study,the thermodynamic behaviors of the intrinsic frequency and buckling temperature of rectangular plates of functionally graded materials(FGMs)are explored based on the modified couple stress theory(MCST)an...In this study,the thermodynamic behaviors of the intrinsic frequency and buckling temperature of rectangular plates of functionally graded materials(FGMs)are explored based on the modified couple stress theory(MCST)and the novel dual powerlaw scale distribution theory.The effects of linear,homogeneous,and non-homogeneous temperature fields on the frequency and buckling temperature of FGM microplates are evaluated in detail.The results show that the porosity greatly affects the mechanical properties of FGM plates,reducing their frequency and flexural temperature compared with non-porous plates.Different temperature profiles alter plate frequencies and buckling temperatures.The presence and pattern of scale effect parameters are also shown to be crucial for the mechanical response of FGM plates.The present research aims to provide precise guidelines for the micro-electro-mechanical system(MEMS)fabrication by elucidating the complex interplay between thermal,material,and structural factors that affect the performance of FGM plates in advanced applications.展开更多
文摘W/ Cu functionally gradient materials （FGMs） containing 1% La2O3 and 1% TiC were prepared using graded sintering under tdtra-high pressure （GSUHP）. The specimens have been found to exhibit low porosity （11.57% and 11.35%, respectively）. Shearing strength of the specimens between layers is good. Moreover, the specimens have still demonstrated good performance in testing thermal-shock resistance. When power density of laser is 200MWm^-2, the specimens have been tested for thermal-shock resistance （1000 times）; the specimens that contained 1%La2O3 were not subjected to damage, whereas those that contained 1%TiC began to crack. Finally, effect of additives on thermal-shock resistance was also preliminarily discussed.
文摘An improved meshfree moving-Kriging(MK)formulation for free vibration analysis of functionally graded material-functionally graded carbon nanotube-reinforced composite(FGM-FGCNTRC)sandwich shells is first proposed in this article.The proposed sandwich structure consists of skins of FGM layers and an FGCNTRC core.This structure possesses all the advantages of FGM and FGCNTRC,including high electrical or thermal insulating properties,high fatigue resistance,good corrosion resistance,high stiffness,low density,high strength,and high aspect ratios.Such sandwich structures can be used to replace conventional FGM structures.The present formulation has been established by using an improved meshfree MK method and the first-order shear deformation shell theory(FSDT).The effective material characteristics of the FGM-skin layers and the FGCNTRC core were calculated using the rule of mixture.Key parameters and factors such as the thickness-to-radius ratio,the length-to-radius ratio,layer-thickness ratios,CNT distributions,the volume fraction of CNTs,the power-law index,and various boundary conditions were rigorously investigated.A nonlinear CNT distribution that we term FG-nX is first proposed in this work,and many new results of FGM-FGCNTRC sandwich shells have been provided.
基金Project supported by the National Natural Science Foundation of China (Nos. 12372025 and 12072311)。
文摘This paper proposes a novel three-directional functionally graded(3D FG)vibration energy harvesting model based on a bimorph pipe structure.A rectangular pipe has material properties that vary continuously along the axial,width,and height directions,and a steady fluid flows inside the pipe.Two piezoelectric layers are attached to the upper and lower surfaces of the pipe,and are connected in series with a load resistance.The output electricity is predicted theoretically and validated by finite element(FE) simulation.The complex mechanisms regulating the energy harvesting performance are investigated,focusing particularly on the effects of 3D FG material(FGM) parameters,load resistance,fluid-structure interaction(FSI),and geometry.Numerical results indicate that among several material gradient parameters,the axial gradient index has the most significant impact.Increasing the axial and height gradient indices can markedly enhance the energy harvesting performance.The optimal resistances differ between the first two modes.Overall,the maximum power is generated at lower resistances.The FSI effect can also improve the energy harvesting performance;however,higher flow velocities may destabilize the system,causing failure of harvesting energy.This research is capable of providing new insights into the design of a pipe energy harvester in engineering applications.
文摘This study examines the nonlinear behaviors of a clamped-clamped porous pipe made of a functionally graded material(FGM)that conveys fluids and is equipped with a retaining clip,focusing on primary resonance and subcritical dynamics.The nonlinear governing equations for the FGM pipe are derived by the extended Hamilton's principle,and subsequently discretized through the application of the Galerkin method.The direct method of multi-scales is then used to solve the derived equations.A thorough analysis of various parameters,including the clip stiffness,the power-law index,the porosity,and the clip location,is conducted to gain a comprehensive understanding of the system's nonlinear dynamics.Through the analysis of the first natural frequency,the study highlights the influence of the flow velocity and the clip stiffness,while the comparisons with metallic pipes emphasize the role of FGM composition.The examination of the forced response curves reveals saddle-node bifurcations and their dependence on parameters such as the detuning parameter and the power-law index,offering valuable insights into the system's nonlinear resonant behavior.Furthermore,the frequency-response curves illustrate the hardening nonlinearities influenced by factors such as the porosity and the clip stiffness,revealing nuanced effects on the system response and resonance characteristics.This comprehensive analysis enhances the understanding of nonlinear behaviors in FGM porous pipes with a retaining clip,providing key insights for practical engineering applications in system design and optimization.
文摘本文主要研究了FGM Copula相依下随机变量二阶顺序统计量的随机比较,给出了二阶顺序统计量之间普通随机序、增凸序与增凹序关系成立的充分条件,并通过数值例子说明了主要结论。This paper investigates the stochastic comparison of second-order statistics from dependent random samples with FGM Copula. Sufficient conditions are established on the usual stochastic order, the increasing convex order and the increasing concave order for the second-order statistic. And some numerical examples are provided to illustrate the theoretical results.
基金Sponsored by the Science and Technology Department,Government of Ddisha(Grant No.3724/ST,Bhubaneswar,dt.14.09.2022).
文摘Functionally Graded Materials(FGMs)are innovative advanced quality materials in the field of composites concerning their strength,mechanical,and thermal properties.Nowadays,the modern requirement of the industry in the fields of health care,aerospace,and power sectors needs the rapid evolution of new components,which allows researchers to invent new materials to satisfy the functional requirements of modern technology.Tissue engineering is one of the most concerned areas of the application of FGM in the healthcare sector,where the tailored properties of FGM play a significant role in building and growing an artificial structure that heals the damaged tissue of the body parts and meets the desired application that the part needs to perform.This paper highlights the suitability of the combination of a nano⁃structure enhanced epoxy functionally graded material,its properties,and applicability in the design of a prosthetic foot where it provides the mobility and comfort of the body part like natural tissue.The analytical study is done by designing an ANSYS model and simulating the results of equivalent stress and directional deformation.The Finite Element(FE)approach is used to optimize the output results of stress⁃strain analysis,different weight percentages of nano⁃filler are taken for performance enhancement.A comparative analysis is done with the previously established results taking carbon fiber⁃reinforced composites that offer a successful validation of the present results obtained.Furthermore,this study also provides a clear understanding of the justification of the composition considered for the effective application in the field of prosthetics field.
基金Project supported by the Natural Science Foundation of Shandong Province of China(No.ZR2024MA085)the Science and Technology Plan Project of Zhejiang Province of China(No.2023C03143)the Fundamental Research Funds for the Central Universities of China。
文摘The three-phase-lag(TPL)heat conduction model is an accurate representation of the actual heat transfer process.It would be interesting to investigate how the TPL model affects the thermal fracture behavior when there are defects existing in the medium.This paper aims to analyze the thermoelastic responses of two collinear cracks within a functionally graded half-space under thermal loadings by means of the TPL model.The thermoelastic problem is transformed into a series of singular integral equations using the integral transformation methods.The transient temperature and stress intensity factors(SIFs)are obtained through the application of Chebyshev polynomials.The effects of crack spacing and non-homogeneous parameters on the transient thermoelastic responses are presented,and the results of the TPL model are compared with those of the Fourier model,Cattaneo and Vernotte(CV)model,and dual-phase-lag(DPL)model.It is shown that crack spacing and non-homogeneous parameters have important effects on the thermoelastic responses,and the fluctuation phenomenon under the TPL model is the most pronounced due to the existence of the thermal displacement lag term.
基金Project supported by the National Key Research and Development Program of China(No.2022YFB3207100)Hubei Provincial Strategic Scientist Training Plan(No.2022EJD009)the Fundamental Research Funds for the Central Universities of China(No.2042023kf1041)。
文摘In this study,the thermodynamic behaviors of the intrinsic frequency and buckling temperature of rectangular plates of functionally graded materials(FGMs)are explored based on the modified couple stress theory(MCST)and the novel dual powerlaw scale distribution theory.The effects of linear,homogeneous,and non-homogeneous temperature fields on the frequency and buckling temperature of FGM microplates are evaluated in detail.The results show that the porosity greatly affects the mechanical properties of FGM plates,reducing their frequency and flexural temperature compared with non-porous plates.Different temperature profiles alter plate frequencies and buckling temperatures.The presence and pattern of scale effect parameters are also shown to be crucial for the mechanical response of FGM plates.The present research aims to provide precise guidelines for the micro-electro-mechanical system(MEMS)fabrication by elucidating the complex interplay between thermal,material,and structural factors that affect the performance of FGM plates in advanced applications.
