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Love wave propagation in one-dimensional piezoelectric quasicrystal multilayered nanoplates with surface effects
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作者 Xin FENG liaoliang ke Yang GAO 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2024年第4期619-632,共14页
The exact solutions for the propagation of Love waves in one-dimensional(1D)hexagonal piezoelectric quasicrystal(PQC)nanoplates with surface effects are derived.An electro-elastic model is developed to investigate the... The exact solutions for the propagation of Love waves in one-dimensional(1D)hexagonal piezoelectric quasicrystal(PQC)nanoplates with surface effects are derived.An electro-elastic model is developed to investigate the anti-plane strain problem of Love wave propagation.By introducing three shape functions,the wave equations and electric balance equations are decoupled into three uncorrelated problems.Satisfying the boundary conditions of the top surface on the covering layer,the interlayer interface,and the matrix,a dispersive equation with the influence of multi-physical field coupling is provided.A surface PQC model is developed to investigate the surface effects on the propagation behaviors of Love waves in quasicrystal(QC)multilayered structures with nanoscale thicknesses.A novel dispersion relation for the PQC structure is derived in an explicit closed form according to the non-classical mechanical and electric boundary conditions.Numerical examples are given to reveal the effects of the boundary conditions,stacking sequence,characteristic scale,and phason fluctuation characteristics on the dispersion curves of Love waves propagating in PQC nanoplates with surface effects. 展开更多
关键词 piezoelectric quasicrystal(PQC)material multilayered plate dispersion characteristic surface effect
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The size-dependent elastohydrodynamic lubrication contact of a coated half-plane with non-Newtonian fluid
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作者 Jie SU Hongxia SONG +1 位作者 liaoliang ke S.M.AIZIKOVICH 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2021年第7期915-930,共16页
Based on the couple-stress theory,the elastohydrodynamic lubrication(EHL)contact is analyzed with a consideration of the size effect.The lubricant between the contact surface of a homogeneous coated half-plane and a r... Based on the couple-stress theory,the elastohydrodynamic lubrication(EHL)contact is analyzed with a consideration of the size effect.The lubricant between the contact surface of a homogeneous coated half-plane and a rigid punch is supposed to be the non-Newtonian fluid.The density and viscosity of the lubricant are dependent on fluid pressure.Distributions of film thickness,in-plane stress,and fluid pressure are calculated by solving the nonlinear fluid-solid coupled equations with an iterative method.The effects of the punch radius,size parameter,coating thickness,slide/roll ratio,entraining velocity,resultant normal load,and stiffness ratio on lubricant film thickness,in-plane stress,and fluid pressure are investigated.The results demonstrate that fluid pressure and film thickness are obviously dependent on the size parameter,stiffness ratio,and coating thickness. 展开更多
关键词 elastohydrodynamic lubrication(EHL) non-Newtonian fluid size effect couple-stress theory coating
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Contact vibration analysis of the functionally graded material coated half-space under a rigid spherical punch
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作者 Xin LYU liaoliang ke +1 位作者 Jiayong TIAN Jie SU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2022年第8期1187-1202,共16页
This paper studies the contact vibration problem of an elastic half-space coated with functionally graded materials(FGMs)subject to a rigid spherical punch.A static force superimposing a dynamic time-harmonic force ac... This paper studies the contact vibration problem of an elastic half-space coated with functionally graded materials(FGMs)subject to a rigid spherical punch.A static force superimposing a dynamic time-harmonic force acts on the rigid spherical punch.Firstly,we give the static contact problem of FGMs by a least-square fitting approach.Next,the dynamic contact pressure is solved by employing the perturbation method.Lastly,the dynamic contact stiffness with different dynamic contact displacement conditions is derived for the FGM coated half-space.The effects of the gradient index,coating thickness,internal friction,and punch radius on the dynamic contact stiffness factor are discussed in detail. 展开更多
关键词 contact vibration functionally graded material(FGM) spherical punch perturbation method
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基于尺寸效应的FG-SMA微梁非线性自由振动特性研究 被引量:2
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作者 贾晓丽 计朝晖 +1 位作者 柯燎亮 刘志乾 《固体力学学报》 CAS CSCD 北大核心 2020年第3期193-205,共13页
形状记忆合金具有相变温度低、输出应力高、能耗小、驱动电压低、可恢复应变大、生物相容性好等特性.随着形状记忆合金制备技术的进一步发展,有学者提出将功能梯度形状记忆合金材料用于微机电系统等智能微结构,将使其具有更优良的特性.... 形状记忆合金具有相变温度低、输出应力高、能耗小、驱动电压低、可恢复应变大、生物相容性好等特性.随着形状记忆合金制备技术的进一步发展,有学者提出将功能梯度形状记忆合金材料用于微机电系统等智能微结构,将使其具有更优良的特性.因此开展机电多场耦合功能梯度形状记忆合金微结构的非线性自由振动特性研究具有重要研究价值.论文基于冯卡门几何非线性理论,综合考虑静电力和分子间作用力的影响,考虑尺寸效应,基于修正偶应力理论,建立两端固定的功能梯度形状记忆合金微梁模型,对功能梯度形状记忆合金微梁相变前后的机电耦合非线性自由振动问题进行深入研究,分析了尺寸效应参数、几何结构参数和相变参数等对功能梯度形状记忆合金微梁自由振动特性的影响. 展开更多
关键词 功能梯度材料 形状记忆合金 微梁 尺寸效应 非线性自由振动
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磁电弹复合材料和刚性导电导磁圆柱压头的二维微动接触分析 被引量:3
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作者 苏洁 柯燎亮 汪越胜 《固体力学学报》 CAS CSCD 北大核心 2020年第2期127-141,共15页
论文求解平面应变状态下磁电弹复合材料半平面和刚性导电导磁圆柱压头的二维微动接触问题.假设压头具有良好的导电导磁性,且表面电势和磁势是常数.微动接触依赖载荷的加载历史,所以首先求解单独的法向加载问题,然后在法向加载问题的基... 论文求解平面应变状态下磁电弹复合材料半平面和刚性导电导磁圆柱压头的二维微动接触问题.假设压头具有良好的导电导磁性,且表面电势和磁势是常数.微动接触依赖载荷的加载历史,所以首先求解单独的法向加载问题,然后在法向加载问题的基础上求解循环变化的切向加载问题.整个接触区可以分为内部的中心粘着区和两个外部的滑移区,其中滑移区满足Coulomb摩擦法则.利用Fourier积分变换,磁电弹半平面的微动接触问题将简化为耦合的Cauchy奇异积分方程组,然后数值离散为线性代数方程组,利用迭代法求解未知的粘着/滑移区尺寸、电荷分布、磁感应强度、法向接触压力和切向接触力.数值算例给出了摩擦系数、总电荷和总磁感应强度对各加载阶段的表面接触应力、电位移和磁感应强度的影响. 展开更多
关键词 微动接触 磁电弹复合材料 循环切向加载 导电导磁压头
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Dynamic Response of a Coated Half-Plane with Hysteretic Damping Under a Harmonic Hertz Load 被引量:1
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作者 Xiaomin Wang liaoliang ke Yuesheng Wang 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2020年第4期449-463,共15页
This paper investigates the dynamic response of a coated half-plane subjected to a harmonic Hertz load on the coating surface.The complex modulus is used to describe the hysteretic damping of the elastic homogeneous c... This paper investigates the dynamic response of a coated half-plane subjected to a harmonic Hertz load on the coating surface.The complex modulus is used to describe the hysteretic damping of the elastic homogeneous coating and half-plane.Using the Helmholtz decomposition and Fourier integral transform technique,we derive the stresses and displacements of the coating and half-plane from Navier5s elasticdynamic equations in the form of complex integrals.Then,the global adaptive quadrature algorithm is exploited to solve the complex integrals numerically.The effects of Young’s modulus ratio,density ratio,coating thickness,loss factor and external excitation frequency are discussed.It is found that the dynamic response of displacements and stresses becomes increasingly oscillatory with the increase in excitation frequency. 展开更多
关键词 Dynamic response COATING Hysteretic damping Harmonic Hertz load
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