仲政
新型材料的力学行为、智能材料与结构、计算力学与仿真、机械结构的振动、噪声与控制
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 姓名：仲政
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学术头衔：
博士生导师
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学科领域：
固体力学
 研究兴趣：新型材料的力学行为、智能材料与结构、计算力学与仿真、机械结构的振动、噪声与控制
1964年生,福建漳州人。获清华大学学士(1985)、硕士(1987)和博士(1991)学位。现任同济大学教授、博士生导师，同济大学航空航天与力学学院副院长(主持工作)兼空天技术研究中心主任，中国力学学会力学史与方法论专业委员会委员、固体力学专业委员会委员、断裂与损伤专业组副组长，上海市力学学会理事，上海市宇航学会理事，《力学进展》、《固体力学学报》、《应用力学学报》、《力学季刊》、《同济大学学报》和International Journal of Mechanics and Materials in Design编委。国家杰出青年科学基金获得者（2001）、首届全国高校青年教师奖获得者（2000）、上海市曙光计划入选者（1998）和优秀曙光学者（2005）。获国家教委科技进步奖一等奖（1995）和上海市科技进步奖三等奖（2003）。主持的主要科研项目有：国家自然科学基金重点项目“功能梯度材料与结构的关键力学问题研究”、国家自然科学基金项目“梯度功能压电材料设计中的力学问题研究”、“复合材料弱界面问题的细观力学研究”和“考虑晶界滑动的多晶体本构关系的研究”，上海市“曙光计划”项目“弱界面型复合材料非弹性响应的细观力学研究”，上海市重点学科项目“复合材料应用于基础设施工程的若干关键力学问题研究”、美国联合技术公司国际合作项目“电梯材料数据库”、“奥的斯电梯的振动分析与控制”和“电梯导轨和导靴相互作用引起的高频噪声与振动的模拟”、航天科技集团合作项目“纳米陶瓷材料的力学性能测试方法研究”等。在国内外发表论文100余篇，其中被SCI收录40多篇，被他人引用100多次。主要研究方向是新型材料的力学行为、智能材料与结构、计算力学与仿真、机械结构的振动、噪声与控制。

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仲政， K.Q. Hu a， Z. Zhong b， B. Jin b
International Journal of Mechanical Sciences 47(2005)8293，0001，（）：
1年11月30日
In this paper, the problem of a cracklocated in a functionally gradient piezoelectric interlayer between two dissimilar homogeneous piezoelectric halfplanes being subjected to an antiplane mechanical loading and an inplane electric loading is considered. The material properties of the interlayer, such as the elastic stiffness, piezoelectric constant and dielectric constant, are assumed to vary continuously along the thickness of the interlayer, and the crack surface condition is assumed to be impermeable or permeable. By using the Fourier transform, the problem is ﬁrst reduced to two pairs of dual integral equations and then into a Fredholm integral equation of the second kind. Numerical calculations are carried out, and the effects of crackgeomet ric parameters on the stress intensity factor and the energy release rate are shown graphically.
Functionally gradient piezoelectric interlayer， Crack， Impermeable， Permeable， Stress intensity factor

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【期刊论文】Vibration analysis of TbDyFe magnetostriction actuator and transducer
仲政， Y. P. WAN and Z. ZHONG *
International Journal of Mechanics and Materials in Design 1: 95107, 2004.，0001，（）：
1年11月30日
In this paper, theoretical analysis of longitudinal free vibration was carried out for TbDyFe series magnetostrictive actuator and transducer. The formulations considered two constitutive laws; in one we employ the standard square nonlinear constitutive equation of magnetostriction and in the other we employ the linear piezomagnetic equation. The results obtained from the nonlinear equation can be reduced to the linear piezomagnetic equation when the amplitude of the excitation magnetic ﬁeld provided by the coil is very small compared to the bias magnetic ﬁeld and its frequency does not induce resonance of the system. For the case of a relatively large excitation magnetic ﬁeld, which usually exists for an actuator, the nonlinear constitutive equation should be adopted in order to provide an accurate prediction for the design and analysis of actuator and transducer. Another important aspect is the resonance of the TbDyFe series transducers that was revealed in the analysis using the nonlinear constitutive equation. The resonance not only appears at the natural frequencies of the system, but also arises when the frequency of excitation current in the coil happens to be half of one of the natural frequencies of the system. This conclusion cannot be reached using the linear piezomagnetic formulation.
nonlinear constitutive equation,， the TbDyFe series giant magnetostrictive materials,， actuator,， transducer

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【期刊论文】Permeability dependence of the effective magnetostriction of magnetostrictive composites
仲政， Y. P. Wan a) and Z. Zhong， D. N. Fang
JOURNAL OF APPLIED PHYSICS VOLUME 95, NUMBER 6 15 MARCH 2004，0001，（）：
1年11月30日
A model is presented in this article to investigate the dependence of effective magnetostriction of the magnetostrictive composites on the parameters of components including the elastic modulus, permeability, and volume fraction, etc. Concentrating on the twocomponent magnetostrictive composites and choosing the two components to be general magnetostrictive materials, this model yields, analytically, the effective magnetostriction of composites by means of the method of complex potential. In terms of the analysis of this model, the magnetostrictive composites can be roughly divided into two kinds. One kind is that the matrix material is nonmagnetic or a material with very low magnetostriction, in which the effective magnetostriction is independent of the permeability of components. Another kind is the case in which the two components have close magnetostriction, and the effective magnetostriction of the composites generally depends on the elastic and the magnetic parameters of both components and the volume fraction. Unlike the first kind of composite, in a certain range, effective magnetostriction of this kind of composite can be improved by increasing the permeability of matrix. In addition, dependence of the effective magnetostriction on the other parameters of the components has also been discussed systematically. To evaluate the accuracy of this model, comparisons are made between the theoretical values and the experimental results published in the literature, which indicate that predictions of this model agree qualitatively with the experimental data.

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【期刊论文】3D Micromechanical Modeling of Particulate Composite Materials with Imperfect Interface
仲政， Z. Zhong， X. B. Yu， S. A. Meguid*
International Journal for Multiscale Computational Engineering, 2 (1): 85100 (2004)，0001，（）：
1年11月30日
In this article, we study the effective elastic and plastic properties of particlereinforced composite mterials with imperfect interface. The imperfect interface is described by a springtype model assuming that the traction conitnuity remains intact, while the displacement experiences a jump proportional to the interfactial traction. Both the tangential and normal displacement discontinuities at the interfaces are considered and the effective elastic moduli are obtained using a generalized version of dilute model, selfconsitent model, MoriTanaka model, and efferential model. A comparison between the effective elastic moduli obtained by these different models is made and the determination of an effective plastic behavior of particulate composite materials, by means of the MoriTanaka model and secant moduli method, is also discussed. Finally, we examine the influence of interfacial compliance on the macrossopic averaged mechanical properties of composite materials.
imperfect interface,， inbomogenity,， composite material,， effective properties

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仲政， Z. Zhong， Shanghai， Q. P. Sun and X. B. Yu
Acta Mechanica 166, 169183(2003)，0001，（）：
1年11月30日
In this paper, we give the elastic solution for a special type of microstructurea circular cylindrical rod containing periodically distributed inclusions along its axial direction. Each inclusion has the same uniform axisymmetric transformation strain (eigenstrain). Analytical elastic solutions are obtained for the displacements, stresses and elastic strain energy of the rod. The eﬀects of microstructure and its evolution (growth of inclusions) on the elastic stress and strain ﬁelds as well as the strain energy of the rod are quantitatively demonstrated. As a result of such microstructure evolution nominal stressstrain relation with strain softening is derived for a rod under uniaxial tension.

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仲政， Z. Zhong *， E.T. Shang
International Journal of Solids and Structures 40(2003)53355352，0001，（）：
1年11月30日
An exact threedimensional analysis is presented for a functionally gradient piezoelectric material rectangular plate that is simply supported and grounded along its four edges. The state equations of the functionally gradient piezoelectric material are developed based on the state space approach. Assuming that the mechanical and electric properties of the material have the same exponentlaw dependence on the thicknesscoordinate, we obtain an exact threedimensional solution of the coupling electroelastic ﬁelds in the plate under mechanical, and electric loading on the upper and lower surfaces of the plate. The inﬂuences of the diﬀerent functionally gradient material properties on the structural response of the plate to the mechanical and electric stimuli are then studied through examples.
Functionally gradient piezoelectric material， Electroelastic coupling， Rectangular plate， State space approach， Exact solution

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仲政， X. Wang， Z. Zhong *
International Journal of Engineering Science 41(2003)24292445，0001，（）：
1年11月30日
The problem of a ﬁnitely long circular cylindrical shell of cylindrically orthotropic piezoelectric/piezomagnetic composite under pressuring loading and a uniform temperature change is analytically investigated in detail. The analytical solution is obtained through the power series expansion method and the Fourier series expansion method. Numerical results are presented and compared for twolayered piezoelectric/piezomagnetic composite circular cylindrical shells with diﬀerent stacking sequences under inner pressuring loading.
Piezoelectric/， piezomagnetic composite， Finitely long circular cylindrical shell， Power series expansion， Fourier series expansion

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仲政， X. Wang， Z. Zhong *
International Journal of Engineering Science 41(2003)21432159，0001，（）：
1年11月30日
A cylindrically anisotropic magnetoelectroelastic material is a special inhomogeneous anisotropic magnetoelectroelastic material. The constitutive law for any material point is the same when it is referred to a cylindrical coordinate system. An example of cylindrically anisotropic magnetoelectroelastic material is composite made of cylindrically anisotropic piezoelectric/piezomagnetic materials. In this paper an exact solution is derived for the twodimensional problem of a circular tube or bar of cylindrically anisotropic magnetoelectroelastic material under pressuring loading by applying the Stroh formalism for a cylindrical coordinate system. The explicit expressions for the extended displacement vector and the extended traction vectors are presented. As encountered in the cases of elastic material and piezoelectric material, the stresses, electric ﬁelds, and magnetic ﬁelds at the axis of a circular rod may be inﬁnite when the rod is subjected to a radial pressure. The existence of the singular stresses is also veriﬁed by our calculations for some magnetoelectroelastic materials.
Magnetoelectroelastic material， Cylindrically anisotropic， Circular tube

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仲政， X. Wang *， Z. Zhong
International Journal of Solids and Structures 40(2003)59015921，0001，（）：
1年11月30日
This paper presents an exact solution for a simplysupported and laminated anisotropic cylindrical shell strip with imperfect bonding at the oﬀaxis elastic layer interfaces and with attached anisotropic piezoelectric actuator and sensor subjected to transverse loading. In this research, the imperfect interface conditions are described in terms of linear relations between the interface tractions in the normal and tangential directions, and the respective discontinuities in displacements. The solution for an elastic (or piezoelectric) layer of the smart laminated cylindrical shell strip is obtained in terms of the sixdimensional (or eightdimensional) pseudoStroh formalism, solution for multilayered system is then derived based on the transfer matrix method. Finally, a numerical example is presented to demonstrate the eﬀect of imperfect interface on the static response of the smart laminated cylindrical shell. The derived solutions can serve as benchmark results to assess various approximate shell theories and numerical methods.
Composites， Anisotropic， Piezoelectric， Cylindrical shell， Layer， Imperfect interface， PseudoStroh formalism， Transfer

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【期刊论文】Analysis of a Mode Ⅲ Crack in a Functionally Gradient Piezoelectric Material
仲政， Z. Zhong ， D. W. Shu and B. Jin
Materials Science Forum Vols. 423425，0001，（）：
1年11月30日
In this paper we studied a finite crack in an infinite medium made of a functionally gradient piezoelectric material subjected to antiplane shear and inplane electric field. The material properties, including the elastic shear modulus, the piezoelectric modulus and the dielectric modulus are assumed to vary exponentially with spatial position. By means of Fourier transformation, the governing equations of the problem are firstly reduced to two pairs of dual integral equations and then to a Fredholm integral equation of second kind. The electroelastic fields are completely determined and the field intensity factors can be defined. It is found that the stress and the electric displacement have the inverse squareroot singularity at the crack tip as that of homogeneous piezoelectric materials, and the stress intensity factor and the electric displacement intensity factor increase with the increase of the material gradient constant of functionally gradient piezoelectric materials.
piezoelectricity， crack， stress intensity factor

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