申胜平
从事无网格法、纳米力学及先进材料力学行为的研究
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 姓名：申胜平
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博士生导师
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学科领域：
固体力学
 研究兴趣：从事无网格法、纳米力学及先进材料力学行为的研究
申胜平1987年考入西北工业大学，先后获结构强度专业学士和固体力学专业硕士学位。1996年在西安交通大学获固体力学专业博士学位，1997年3月至1999年1月在上海交通大学力学博士后流动站从事博士后研究；1999年4月至2001年4月获日本学术振兴会资助，在日本神户大学任JSPS特别研究员（JSPS Fellow），主要从事界面断裂力学方面研究；2001年6月至2005年7月在美国加州大学（UCLA & UCI）从事无网格法、断裂力学及多尺度模拟等方面研究；2005年7月被聘为西安交通大学“腾飞人才”特聘教授。现为西安交通大学航天航空学院教授，博士生导师，SCI期刊CMC: Computers, Materials, & Continuua编委。合作出版了国际上首部无网格法专著。在J. Mech. Phys. Solids等国际学术期刊发表论文35篇，至06年7月共被SCI他引300多次。参与组织多个国际研讨会。2005年入选教育部新世纪优秀人才支持计划。目前主要从事无网格法、纳米力学及先进材料力学行为的研究。

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【期刊论文】A Tangent Stiffness MLPG Method for Atom/Continuum Multiscale Simulation
申胜平， Shengping Shen， and S. N. Atluri
CMES, vol. 7, no.1, pp. 4967, 2005，0001，（）：
1年11月30日
The main objective of this paper is to develop a multiscale method for the static analysis of a nanosystem, based on a combination of molecular mechanics and MLPG methods. The tangentstiffness formulations are given for this multiscale method, as well as a pure molecular mechanics method. This method is also shown to naturally link the continuum local balance equation with molecular mechanics, directly, based on the stress or force. Numerical results show that this multiscale method quite accurate. The tangentstiffness MLPG method is very effective and stable in multiscale simulations. This multiscale method dramatically reduces the computational cost, but it still can provide reasonable accuracy in some regions of the model.
Molecular mechanics， Multiscale method， continuum mechanics， MLPG.，

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【期刊论文】Atomiclevel Stress Calculation and ContinuumMolecular System Equivalence
申胜平， Shengping Shen， and S. N. Atluri
cmes, vol. 6, no.1, pp. 91104, 2004，0001，（）：
1年11月30日
An atomistic level stress tensor is defined with physical clarity, based on the SPH method. This stress tensor rigorously satisfies the conservation of linear momentum, and is appropriate for both homogeneous and inhomogeneous deformations. The formulation is easier to implement than other stress tensors that have been widely used in atomistic analysis, and is validated by numerical examples. The present formulation is very robust and accurate, and will play an important role in the multiscale simulation, and in molecular dynamics. An equivalent continuum is also defined for the molecular dynamics system, based on the developed definition of atomistic stress and in conjunction with the SPH technique. The process is simple and easy to implement, and the fields are with highorder continuity. This equivalent continuum maintains the physical attributes of the atomistic system. This development provides a systematic approach to the continuum analysis of the discrete atomic systems.
Atomistic analysis， stress， SPH， continuum.，

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【期刊论文】Multiscale Simulation Based on The Meshless Local PetrovGalerkin (MLPG) Method
申胜平， Shengping Shen， and S. N. Atluri
CMES, vol. 5, no.3, pp. 235255, 2004，0001，（）：
1年11月30日
A multiscale simulation technique based on the MLPG methods, and finite deformation mechanics, is developed, implemented, and tested. Several alternate timedependent interfacial conditions, between the atomistic and continuum regions, are systematically studied, for the seamless multiscale simulation, by decomposing the displacement of atoms in the equivalentcontinuum region into long and short wavelength components. All of these methods for enforcing the interface conditions can ensure the passage of information accurately between the atomistic and continuum regions, while they lead to different performances at short wavelengths. The presently proposed Solution Method 2 reduces the phonon reflections at the interface, without increasing the computational burden. Multiple length scale, multiple time step, and meshless local PetrovGalerkin (MLPG) methods are used in the numerical examples.

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申胜平， Shengping Shen， Toshihisa Nishioka*
Engineering Fracture Mechanics 70(2003)643655，0001，（）：
1年11月30日
In this paper, a theory of caustics for an intersonically propagating interfacial crack is developed. Using the first invariant of stress singular field in the vicinity of the intersonically propagating tip of an interface crack, mapping equations are derived for the caustic curve on the reference plane as well as the initial curve on the specimen plane. The effect of the crack velocity on the caustic pattern is investigated. Two practically measurable characteristic dimensions are proposed. Using these characteristic dimensions, a simple procedure is also proposed for the evaluation of the stress singularity factor for the intersonically propagating interfacial crack.
Caustics， Interfac e crack， Intersonic propagation， Dynamic fracture

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申胜平， Satya N. Atluri， & Shengping Shen
CMES, vol. 3, no.1, pp. 1151, 2002，0001，（）：
1年11月30日
A comparison study of the efficiency and accuracy of a variety of meshless trial and test functions is presented in this paper, based on the general concept of the meshless local PetrovGalerkin (MLPG) method. 5 types of trial functions, and 6 types of test functions are explored. Different test functions result in different MLPG methods, and six such MLPG methods are presented in this paper. In all these six MLPG methods, absolutely no meshes are needed either for the interpolation of the trial and test functions, or for the integration of the weakform; while other meshless methods require background cells. Because complicated shape functions for the trial function are inevitable at the present stage, in order to develop a fast and robust meshless method, we explore ways to avoid the use of a domain integral in the weakform, by choosing an appropriate test function. The MLPG5 method (wherein the local, nodalbased test function, over a local subdomain Ωs (or Ωte) centered at a node, is the Heaviside step function) avoids the need for both a domain integral in the attendant symmetric weakform as well as a singular integral. Convergence studies in the numerical examples show that all of the MLPG methods possess excellent rates of convergence, for both the unknown variables and their derivatives. An analysis of computational costs shows that the MLPG5 method is less expensive, both in computational costs as well as definitely in humanlabor costs, than the FEM, or BEM. Thus, due to its speed, accuracy and robustness, the MLPG5 method may be expected to replace the FEM, in the near future.
MLPG， test function， trial function， MLS， RBF

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【期刊论文】Crack propagation along the interface of piezoelectric bimaterial
申胜平， S. Shena， *， T. Nishiokab， S.L. Hua
Theoretical and Applied Fracture Mechanics 34(2000)185203，0001，（）：
1年11月30日
This paper is concerned with the propagation of a crack along the interface of a piezoelectric bimaterial, which can travel at subsonic or intersonic speed. The inertial effects are taken into account while the static approximation is applied to the electric fields. The effect of piezoelectricity on the asymptotic cracktip field is discussed for an interface crack propagating subsonically and intersonically. An alternative method is used to avoid solving for the eigenvectors. This paper provides a unified method to analyze the cracktip field of a crack propagating along a piezoelectric bimaterial interface.
Dynamics fracture， Bimaterial interface， Intersonic crack growth， Subsonic crack growth， Piezoelectric material

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申胜平， Shengping Shen*， Toshihisa Nishioka
Journal of the Mechanics and Physics of Solids 48(2000)22572282，0001，（）：
1年11月30日
This paper provides a unified method to solve the problem of an interfacial crack propagating subsonically and intersonically along a general anisotropic bimaterial interface. The asymptotic structure of the interfacial cracktip field propagating subsonically and intersonically in a general anisotropic bimaterial system is investigated. Using the extended version of the Eshelby–Stroh formulation and the method of analytic continuation, the problem is recast into a Riemann–Hilbert problem of vector form. Upon solving the RiemannHilbert equation, the neartip asymptotic fields are obtained, which reveals characteristics of the intersonic crack growth in an anisotropic bimaterial system. Some important cases are listed. The procedure presented in this paper will provide a theoretical tool for studying intersonic crack growth in a broader range of materials systems. The range of the powers of the cracktip singularity is reported for four different material combinations.
A.， Dynamics fracture， Bimaterial interface， Intersonic crack growth， B.， Anisotropic material

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【期刊论文】Wave scattering from an interface crack in multilayered piezoelectric plate
申胜平， Shengping Shena;*， ZhenBang Kuanga， Toshihisa Nishiokab
Solids 19(2000)547559，0001，（）：
1年11月30日
This paper focuses on the theoretical basis for the study of wave scattering from an interface crack in multilayered piezoelectric media. The materials are taken to be anisotropic with arbitrary symmetry. Based on the Fourier transform technique together with the aid of the stiffness matrix approach, the boundary value problem of wave scattering is reduced to solving a system of Cauchytype singular equations. The intensity factors and crack opening displacements are defined in terms of the solutions of the corresponding integral equations for any incident frequencies and incident angles. Numerical results are presented. The effects of incident frequencies and crack location on both the major and coupling intensity factors are illustrated. The influence of the piezoelectricity is also shown.
interface crack， piezoelectric， wave scattering

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【期刊论文】Fracture of piezoelectric materials: energy density criterion
申胜平， S. Shen*， T. Nishioka
Theoretical and Applied Fracture Mechanics 33(2000)5765，0001，（）：
1年11月30日
In this paper, the concept of energy density factor S for piezoelectric materials is presented. In addition to the mechanical energy the electrical energy is included as well. The direction of crack initiation is assumed to occur when Smin reaches a critical value Scr that can be used as an intrinsic materials parameter and is independent of the crack geometry and loading. The result agrees with empirical evidence qualitatively and explains rationally the effect of applied electric field on fracture strength: positive electric fields decrease the apparent fracture toughness of piezoelectric materials while negative electric fields increase it.

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【期刊论文】Nonlinear electromechanical interfacial fracture for piezoelectric materials
申胜平， Shengping Shena， *， Toshihisa Nishiokaa， ZhenBang Kuangb， Zhengxing Liub
Mechanics of Materials 32(2000)5764，0001，（）：
1年11月30日
This work is concerned with the analytical characterization of the electromechanical nonlinear effects on the fields surrounding the tip of an interface crack between ferroelectricplastic bimaterials. A strip electric saturation and mechanical yielding model is developed for a mode III interfacial crack with electrical polarization reaching a saturation limit and shear stress reaching a yield stress along a line segment in front of the crack. The electrical saturation zone and mechanical yielding zone may have dierent length scales depending on loading conditions. This model may be considered as a generalization of the classical Dugdale model for plastic yielding near cracks in homogenous materials. The results reveal insight into the structure of stress and electric displacement fields for different load conditions. The energy release rate and COD dIII are also obtained, which indicates the possibility of fracture criterion based on the COD dIII.
Piezoelectric， Dugdale model， Interface fracture， Electric saturation， Plastic， COD

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