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| 1 | General solutions of plane problem in one-dimensional quasicrystal piezoelectric materials and its application on fracture mechanics显示文摘Based on the fundamental equations of piezoelasticity of quasicrystals(QCs),with the symmetry operations of point groups, the plane piezoelasticity theory of onedimensional(1D) QCs with all point groups is investigated systematically. The governing 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 operator 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 solutions 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. | Jing YU Junhong GUO Ernian PAN Yongming XING | 2015 | Applied Mathematics and Mechanics(English Edition)2015，36，6： | 10 |
| 2 | FREE VIBRATION OF FUNCTIONALLY GRADED, MAGNETO-ELECTRO-ELASTIC, AND MULTILAYERED PLATES显示文摘州空间的方法被采用评估形式的参数机能上地分级, magneto-electro-elastic,和 multilayered 盘子。基于机能上地分级的材料的性质是指数的假设,作为州的变量拿结构的排水量和压力的结构的颤动的州的方程被导出。自然频率和形式的形状基于在这篇论文给的州的方程和边界条件的一般答案被计算。有弹性的排水量上的机能上地分级的指数的因素的影响,电,并且结构的磁场被与不同的叠假定一个三明治板模型讨论序列。 | Chen Jiangyi Chen Hualing Pan Ernian | 2006 | Acta Mechanica Solida Sinica2006，19，2： | 6 |
| 3 | A Three-Dimensional Size-Dependent Layered Model for Simply-Supported and Functionally Graded Magnetoelectroelastic Plates显示文摘 | Junhong Guo Jiangyi Chen Ernian Pan | 2018 | Acta Mechanica Solida Sinica2018，31，5： | 3 |
| 4 | Displacements and stresses due to a uniform vertical circular load in an inhomogeneous cross-anisotropic half-space显示文摘 | Cheng-Der Wang Ernian Pan ChiShiang Tzeng | 2006 | International Journal of Geomechanics2006，6，1： | 1 |
| 5 | A general Boundary Element Analysis of 2-D Linear Elastic Fracture Mechanics显示文摘 | Ernian Pan | 1997 | International Journal of Fracture1997，，1： | 1 |
| 6 | Fracture mechanics analysis of cracked discs of anisotropic rock using the boundary element method 显示文摘 | Chen Chao-shi Pan ernian Amadei Bernard | 1998 | International Journal of Rock Mechanics and Mining Sciences1998，35，2： | 1 |
| 7 | TRANSIENT RESPONSE OF A BI-LAYERED MULTIFERROIC COMPOSITE PLATE显示文摘In this paper,a three-dimensional finite-element formulation for the multiferroic composite is developed and implemented into the commercial software ABAQUS for its transient analysis.First,a special three-dimensional eight-node solid element is designed to handle the multiferroic composite made of elastic,piezoelectric,and piezomagnetic materials.Second,a userdefined subroutine for this newly developed element is implemented into ABAQUS.Finally,the transient responses of a bi-layered multiferroic composite are calculated by using the direct time integration method.Two typical magnetic potential signals,Gauss and Ricker pulses,are applied to the composite with various time durations of excitation.The induced electric field shows that the transient response can be substantially influenced by the input signal,which could be tuned for the strongest electric output. | Ruifeng Wang Qingkai Han Ernian Pan | 2011 | Acta Mechanica Solida Sinica2011，24，1： | 1 |
| 8 | An exact solution for a multilayered two-dimensional decagonal quasicrystal plate显示文摘 | YANG L Z GAO Y ERNIAN P | 2014 | International Journal of Solids and Structures2014，51，9： | 1 |
| 9 | Interaction energy of interface dislocation loops in piezoelectric bi-crystals显示文摘Interface dislocations may dramatically change the electric properties,such as polarization,of the piezoelectric crystals.In this paper,we study the linear interactions of two interface dislocation loops with arbitrary shape in generally anisotropic piezoelectric bi-crystals.A simple formula for calculating the interaction energy of the interface dislocation loops is derived and given by a double line integral along two closed dislocation curves.Particularly,interactions between two straight segments of the interface dislocations are solved analytically,which can be applied to approximate any curved loop so that an analytical solution can be also achieved.Numerical results show the influence of the bi-crystal interface as well as the material orientation on the interaction of interface dislocation loops. | Jianghong Yuan Yin Huang Weiqiu Chen Ernian Pan | 2017 | Theoretical & Applied Mechanics Letters2017，7，2： | 0 |
| 10 | Three-dimensional general magneto-electro-elastic finite element model for multiphysics nonlinear analysis of layered composites显示文摘In this paper,by defining a general potential energy for the multiphase coupled multiferroics and applying the minimum energy principle,the coupled governing equations are derived.This system of equations is then discretized as a general three-dimensional(3D)finite element(FE)model based on the COMSOL software.After validating the formulation,it is then applied to the analysis and design of the common sandwich structure of multiferroics composites.Under the typical static loading,the effects of general lateral boundary conditions,material grading,nonlinearity,as well as polarization orientation on the composites are analyzed.For the magneto-electro-elastic(MEE)sandwich made of piezoelectric BaTiO_(3)and magnetostrictive CoFe_(2)O_(4)with different stacking sequences,various interesting features are observed which should be very helpful for the design of high-performance multiphase composites. | Zheng GONG Yinxiao ZHANG Ernian PAN Chao ZHANG | 2023 | Applied Mathematics and Mechanics(English Edition)2023，44，1： | 0 |
| 11 | A magnetically impermeable and electrically permeable interface crack with a contact zone in a magnetoelectroelastic bimaterial under concentrated magnetoelectromechanical loads on the crack faces显示文摘An interface crack with a frictionless contact zone at the right crack-tip between two dissimilar magnetoelectroelastic materials under the action of concentrated magnetoelectromechanical loads on the crack faces is considered. The open part of the crack is assumed to be magnetically impermeable and electrically permeable. The Dirichlet-Riemann boundary value problem is formulated and solved analytically. Stress, magnetic induction and electrical displacement intensity factors as well as energy release rate are thus found in analytical forms. Analytical expressions for the contact zone length have been derived. Some numerical results are presented and compared with those based on the other crack surface conditions. It is shown clearly that the location and magnitude of the applied loads could significantly affect the contact zone length, the stress intensity factor and the energy release rate. | FENG WenJie MA Peng PAN ErNian LIU JinXi | 2011 | Science China(Physics,Mechanics & Astronomy)2011，54，9： | 0 |
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