Study on the effective elastic performance of composites containing decagonal symmetric two-dimensional quasicrystal coatings

On account of the Mori-Tanaka approach,the effective elastic performance of composites containing decagonal symmetric two-dimensional(2D)quasicrystal(QC)coatings is studied.Explicit expressions for the effective elastic constants of rare-earth QC reinforced magnesium-based composites are provided.Detailed discussion is presented on the effects of the volume fraction of the inclusions,the aspect ratio of the inclusions,the coating thickness,and the coating material parameters on the effective elastic constants of the composites.The results indicate that considering the coating increases the effective elastic constants of the composites to some extent.

A coupled Legendre-Laguerre polynomial method with analytical integration for the Rayleigh waves in a quasicrystal layered half-space with an imperfect interface

The Laguerre polynomial method has been successfully used to investigate the dynamic responses of a half-space.However,it fails to obtain the correct stress at the interfaces in a layered half-space,especially when there are significant differences in material properties.Therefore,a coupled Legendre-Laguerre polynomial method with analytical integration is proposed.The Rayleigh waves in a one-dimensional(1D)hexagonal quasicrystal(QC)layered half-space with an imperfect interface are investigated.The correctness is validated by comparison with available results.Its computation efficiency is analyzed.The dispersion curves of the phase velocity,displacement distributions,and stress distributions are illustrated.The effects of the phonon-phason coupling and imperfect interface coefficients on the wave characteristics are investigated.Some novel findings reveal that the proposed method is highly efficient for addressing the Rayleigh waves in a QC layered half-space.It can save over 99%of the computation time.This method can be expanded to investigate waves in various layered half-spaces,including earth-layered media and surface acoustic wave(SAW)devices.

Three-dimensional interfacial fracture analysis of a one-dimensional hexagonal quasicrystal coating

In this paper, the three-dimensional(3D) interfacial fracture is analyzed in a one-dimensional(1D) hexagonal quasicrystal(QC) coating structure under mechanical loading. A planar interface crack with arbitrary shape is studied by a displacement discontinuity method. Fundamental solutions of interfacial concentrated displacement discontinuities are obtained by the Hankel transform technique, and the corresponding boundary integral-differential equations are constructed with the superposition principle.Green’s functions of constant interfacial displacement discontinuities within a rectangular element are derived, and a boundary element method is proposed for numerical simulation.The singularity of stresses near the crack front is investigated, and the stress intensity factors(SIFs) as well as energy release rates(ERRs) are determined. Finally, relevant influencing factors on the fracture behavior are discussed.

Development and Oxidation Behavior of Al-Cu-Fe Quasicrystalline Coating on Ti Alloy

An oxidation resistant Al-Cu-Fe quasicrystalline coating was fabricated on substrate of Ti alloy by low pressure plasma spraying (LPPS) method. As-sprayed Al-Cu-Fe coating has a rapidly solidified lamellar microstructure consisting of quasicrystalline phase and crystalline phase. The formation of quasicrystalline coating is related to the annealing. The results from the ox!dat!on experiments showed that Al-Cu-Fe quasicrystalline coating improved the oxidation resistance of Ti-base alloys. During the oxidation period there is no evident spallation of the coating from the substrate. Oxide formed on the surface of Al-Cu-Fe quasicrystalline coating after oxidation consisted of Al2O3. Oxidation occurs Ieading to a change of concentration and phase transformation in the coating surface. Selective oxidation of AI transforms the quasicrystalline phase into the phase.

Analytic solution of quasicrystal microsphere considering the thermoelectric effect and surface effect in the elastic matrix

The incorporation of the quasicrystalline phase into the metal matrix offers a wide range of potential applications in particle-reinforced metal-matrix composites.The analytic solution of the piezoelectric quasicrystal(QC)microsphere considering the thermoelectric effect and surface effect contained in the elastic matrix is presented in this study.The governing equations for the QC microsphere in the matrix subject to the external electric loading are derived based on the nonlocal elastic theory,electro-elastic interface theory,and eigenvalue method.A comparison between the existing results and the finite-element simulation validates the present approach.Numerical examples reveal the effects of temperature variation,nonlocal parameters,surface properties,elastic coefficients,and phason coefficients on the phonon,phason,and electric fields.The results indicate that the QC microsphere enhances the mechanical properties of the matrix.The results are useful for the design and understanding of the characterization of QCs in micro-structures.

A Dugdale-Barenblatt model for elliptical orifice problem with asymmetric cracks in one-dimensional orthorhombic quasicrystals

By means of Muskhelishvili’s method and the technique of generalized conformal mapping,the physical plane problems are transformed into regular mathematical problems in quasicrystals(QCs).The analytical solution to an elliptical orifice problem with asymmetric cracks in one-dimensional(1D)orthorhombic QCs is obtained.By using the Dugdale-Barenblatt model,the plastic simulation at the crack tip of the elliptical orifice with asymmetric cracks in 1D orthorhombic QCs is performed.Finally,the size of the atomic cohesive force zone is determined precisely,and the size of the atomic cohesive force zone around the crack tip of an elliptical orifice with a single crack or two symmetric cracks is obtained.

Thermal-induced interfacial behavior of a thin one-dimensional hexagonal quasicrystal film

In this paper,we investigate the interfacial behavior of a thin one-dimensional(1D)hexagonal quasicrystal(QC)film bonded on an elastic substrate subjected to a mismatch strain due to thermal variation.The contact interface is assumed to be nonslipping,with both perfectly bonded and debonded boundary conditions.The Fourier transform technique is adopted to establish the integral equations in terms of interfacial shear stress,which are solved as a linear algebraic system by approximating the unknown phonon interfacial shear stress via the series expansion of the Chebyshev polynomials.The expressions are explicitly obtained for the phonon interfacial shear stress,internal normal stress,and stress intensity factors(SIFs).Finally,based on numerical calculations,we briefly discuss the effects of the material mismatch,the geometry of the QC film,and the debonded length and location on stresses and SIFs.

爆炸喷涂AlCuFeSc准晶涂层的摩擦学性能研究

采用爆炸喷涂制备了AlCuFeSc准晶涂层,借助扫描电镜、X射线衍射对准晶涂层的微观及物相结构进行了表征,通过显微硬度计测试了准晶涂层的表面硬度,结果表明涂层与基体间结合良好,其中涂层主要由准晶相和β-AlFe组成,室温下涂层的表面硬度为569.4HV0.3,经退火处理后涂层硬度最高可达到658.33HV0.3。同时开展了在室温和700℃高温环境中,5、15、25 N不同载荷下AlCuFeSc准晶涂层的摩擦磨损性能研究,利用白光干涉仪对磨痕进行三维形貌观测并计算磨损的磨痕宽度、磨痕深度、体积损失,得出磨损率;采用SEM分析了不同实验条件下磨痕形貌的特征。结果表明,AlCuFeSc准晶涂层在不同温度及不同载荷下的耐磨系数在0.500~0.656之间(均低于基体),室温环境下准晶涂层的磨损机制随载荷增加从磨粒磨损为主转变为粘着磨损为主;高温环境下磨损机制则都以粘着磨损为主,准晶涂层对2A12基体具有良好的减摩耐磨功能。

爆炸喷涂工艺对AlCuFe准晶涂层力学性能的影响

准晶材料是一种晶体结构介于晶体与非晶体之间的固体有序相,其中AlCuFe准晶合金因其独特的结构是当前极具应用前景的耐磨、耐蚀、隔热涂层材料,但是受限于涂层制备工艺技术无法制备高质量的准晶涂层。为了提升AlCuFe准晶涂层基本性能,利用爆炸喷涂技术在铝合金基体表面制备准晶涂层,采用L9(3^(3))正交试验方法,以涂层表面硬度和结合强度性能为主要判定指标分析了氧燃充枪比、喷涂距离和喷涂频率3个主要喷涂参数的影响主次关系。结果表明:氧燃充枪比是影响涂层性能的主要因素,最终确定的最佳工艺参数为氧燃充枪比56%,喷涂距离150mm,喷涂频率4枪/s,制备的准晶涂层致密,且与基体结合良好,喷涂粒子熔融充分,涂层的结合强度可达到31.5MPa,表面维氏硬度492HV0.3,孔隙率1.63%,准晶相含量50%。本文的研究结果可为准晶涂层的制备及广泛应用提供基础。

General solutions of plane problem in one-dimensional quasicrystal piezoelectric materials and its application on fracture mechanics

Based on the fundamental equations of piezoelasticity of quasicrystals （QCs）, with the symmetry operations of point groups, the plane piezoelasticity theory of one- dimensional （1D） QCs with all point groups is investigated systematically. The gov- erning equations of the piezoelasticity problem for 1D QCs including monoclinic QCs, orthorhombic QCs, tetragonal QCs, and hexagonal QCs are deduced rigorously. The general solutions of the piezoelasticity problem for these QCs are derived by the opera- tor method and the complex variable function method. As an application, an antiplane crack problem is further considered by the semi-inverse method, and the closed-form so- lutions of the phonon, phason, and electric fields near the crack tip are obtained. The path-independent integral derived from the conservation integral equals the energy release rate.

Static deformation of a multilayered one-dimensional hexagonal quasicrystal plate with piezoelectric effect

Quasicrystals （QCs） are sensitive to the piezoelectric （PE） effect. This paper studies static deformation of a multilayered one-dimensional （1D） hexagonal QC plate with the PE effect. The exact closed-form solutions of the extended displacement and traction for a homogeneous piezoelectric quasicrystal （PQC）plate are derived from an eigensystem. The general solutions for multilayered PQC plates are then obtained using the propagator matrix method when mechanical and electrical loads are applied on the top surface of the plate. Numerical examples for several sandwich plates made up of PQC, PE, and QC materials are provided to show the effect of stacking sequence on phonon, phason, and electric fields under mechanical and electrical loads, which is useful in designing new composites for engineering structures.

Nonlocal vibration and buckling of two-dimensional layered quasicrystal nanoplates embedded in an elastic medium

A mathematical model for nonlocal vibration and buckling of embedded two-dimensional(2 D) decagonal quasicrystal(QC) layered nanoplates is proposed. The Pasternak-type foundation is used to simulate the interaction between the nanoplates and the elastic medium. The exact solutions of the nonlocal vibration frequency and buckling critical load of the 2 D decagonal QC layered nanoplates are obtained by solving the eigensystem and using the propagator matrix method. The present three-dimensional(3 D) exact solution can predict correctly the nature frequencies and critical loads of the nanoplates as compared with previous thin-plate and medium-thick-plate theories.Numerical examples are provided to display the effects of the quasiperiodic direction,length-to-width ratio, thickness of the nanoplates, nonlocal parameter, stacking sequence,and medium elasticity on the vibration frequency and critical buckling load of the 2 D decagonal QC nanoplates. The results show that the effects of the quasiperiodic direction on the vibration frequency and critical buckling load depend on the length-to-width ratio of the nanoplates. The thickness of the nanoplate and the elasticity of the surrounding medium can be adjusted for optimal frequency and critical buckling load of the nanoplate.This feature is useful since the frequency and critical buckling load of the 2 D decagonal QCs as coating materials of plate structures can now be tuned as one desire.

基于QC方法提高某箱体表面涂层附着力

为解决某箱体耐腐蚀环境试验后表面涂层附着力差的问题，文章依据质量管理理论，通过运用QC方法，遵循PDCA循环程序，开展QC活动，提高了该箱体表面涂层附着力。表面涂层附着力从Qc活动前的4级提高到了QC活动后的。级，满足使用单位对箱体耐腐蚀环境试验后表面涂层附着力≤1级的要求。

Bending and vibration of two-dimensional decagonal quasicrystal nanoplates via modified couple-stress theory

Based on the modified couple-stress theory,the three-dimensional(3D)bending deformation and vibration responses of simply-supported and multilayered twodimensional(2D)decagonal quasicrystal(QC)nanoplates are investigated.The surface loading is assumed to be applied on the top surface in the bending analysis,the tractionfree boundary conditions on both the top and bottom surfaces of the nanoplates are used in the free vibration analysis,and a harmonic concentrated point loading is applied on the top surfaces of the nanoplates in the harmonic response analysis.The general solutions of the extended displacement and traction vectors for the homogeneous QC nanoplates are derived by solving the eigenvalue problem reduced from the final governing equations of motion with the modified couple-stress effect.By utilizing the propagator matrix method,the analytical solutions of the displacements of bending deformation for the phonon and phason fields,the natural frequency of free vibration,and the displacements of the harmonic responses of the phonon and phason fields are obtained.Numerical examples are illustrated to show the effects of the quasiperiodic direction,the material length scale parameter,and the the stacking sequence of the nanoplates on the bending deformation and vibration responses of two sandwich nanoplates made of QC and crystal materials.

Fundamental solutions of critical wedge angles for one-dimensional piezoelectric quasicrystal wedge

Two problems of a one-dimensional(1D)piezoelectric quasicrystal(QC)wedge are investigated,i.e.,the two sides of the wedge subject to uniform tractions and the wedge apex subject to the concentrated force.By virtue of the Stroh formalism and Barnett-Lothe matrices,the analytical expressions of the displacements and stresses are derived,and the generalized solutions for the critical wedge angles are discussed.Numerical examples are given to present the mechanical behaviors of the wedge in each field.The results indicate that the effects of the uniform tractions and the concentrated force on the phonon field displacement are larger than those on the phason field.

Interfacial fracture analysis for a two-dimensional decagonal quasi-crystal coating layer structure

The interface crack problems in the two-dimensional(2D)decagonal quasicrystal(QC)coating are theoretically and numerically investigated with a displacement discontinuity method.The 2D general solution is obtained based on the potential theory.An analogy method is proposed based on the relationship between the general solutions for 2D decagonal and one-dimensional(1D)hexagonal QCs.According to the analogy method,the fundamental solutions of concentrated point phonon displacement discontinuities are obtained on the interface.By using the superposition principle,the hypersingular boundary integral-differential equations in terms of displacement discontinuities are determined for a line interface crack.Further,Green’s functions are found for uniform displacement discontinuities on a line element.The oscillatory singularity near a crack tip is eliminated by adopting the Gaussian distribution to approximate the delta function.The stress intensity factors(SIFs)with ordinary singularity and the energy release rate(ERR)are derived.Finally,a boundary element method is put forward to investigate the effects of different factors on the fracture.

爆炸喷涂Al-Cu-Fe准晶涂层性能分析

目的提高准晶涂层内部准晶相含量,进而研究Al-Cu-Fe准晶涂层的各项性能。方法采用爆炸喷涂的方式在2A12铝合金基底上制备了Al-Cu-Fe准晶涂层。借助SEM、XRD等手段对Al-Cu-Fe准晶粉体的组织形貌、物相形成进行研究。采用显微硬度计、拉力试验机测试涂层的力学性能。采用比热容测试仪、激光热导仪检测涂层的热性能。使用摩擦磨损试验仪研究了涂层的摩擦磨损性能。结果水雾化法制成的Al-Cu-Fe准晶粉体主要包含准晶相和少量的β-Al_(42.54)Cu_(34.65)Fe_(22.81)相,准晶含量为73%。882℃为准晶相的熔点,粉体在800℃的退火温度下准晶含量能达到98.7%。涂层在700℃下比热容为0.749 J/(g·K),热导率为5.913W/(m·K)。涂层的显微硬度为569.4HV0.3,经退火处理最高硬度可达658.33HV0.3。涂层的结合强度为33.25 MPa,退火处理后结合强度为58.75 MPa。涂层在不同载荷和温度下,摩擦因数为0.768~0.512(均低于基体),在15 N和20 N的载荷下磨损率较基体提升明显(磨损率仅为基体的7.31%),高温环境下同载荷较室温环境下涂层的磨损率提升明显(高温磨损率为低温的3.00%)。结论准晶涂层可以对基体起到良好的热防护,对基体的减摩耐磨具有积极的作用。对涂层进行退火处理后,能有效提高涂层的硬度、结合强度等性能。

Static response of functionally graded multilayered two-dimensional quasicrystal plates with mixed boundary conditions

The unusual properties of quasicrystals(QCs)have attracted tremendous attention from researchers.In this paper,a semi-analytical solution is presented for the static response of a functionally graded(FG)multilayered two-dimensional(2 D)decagonal QC rectangular plate with mixed boundary conditions.Based on the elastic theory of FG 2 D QCs,the state-space method is used to derive the state equations composed of partial differential along the thickness direction.Besides,the Fourier series expansion and the differential quadrature technique are utilized to simulate the simply supported boundary conditions and the mixed boundary conditions,respectively.Then,the propagator matrix which connects the field variables at the upper interface to those at the lower interface of any homogeneous layer can be derived based on the state equations.Combined with the interface continuity condition,the static response can be obtained by imposing the sinusoidal load on the top surfaces of laminates.Finally,the numerical examples are presented to verify the effectiveness of this method,and the results are very useful for the design and understanding of the characterization of FG QC materials in their applications to multilayered systems.

准晶Al_(72)Ni_(12)Co_(16)合金在特殊涂层中的深过冷及其凝固组织

研究了Si Zr B模壳涂层对准晶Al72Ni12Co16合金过冷度与凝固组织的影响规律。通过使用Si Zr B涂层模壳,在Al72Ni12Co16合金中获得了不同大小的过冷度,其最大值达到195K。根据经典形核理论,计算了熔体与涂层内壁间的润湿角。研究结果表明:Si Zr B涂层对过冷准晶Al72Ni12Co16合金熔体具有较强的抑制形核作用,因而可使大体积合金熔体获得深过冷。

冷喷涂制备锡青铜/准晶复合涂层的微观结构及其摩擦学行为

利用冷喷涂技术制备锡青铜以及锡青铜/准晶复合涂层,采用光学显微镜、扫描电子显微镜以及硬度计等分析涂层的微观组织与微观硬度,对所制备的涂层进行干摩擦实验,并依据磨痕形貌分析主要磨损机理。研究准晶颗粒作为强化相粒子对于涂层的微观结构及摩擦行为的影响。结果表明:冷喷涂混合粉末所制备复合涂层表现出较高的致密度与微观硬度,硬质准晶颗粒表现出相对较低的沉积效率,复合涂层相对于纯青铜涂层具有稍低的摩擦因数与较高的磨损率,颗粒磨损对复合涂层的摩擦行为起主要作用。