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	1. Nonlinear analysis for a rectangular plate subjected to low velocity impact considering the effect of the structural deformation
	HU Yaqing,DAI Hongliang,LIN Zhongyan
	Mechanics 23 March 2018
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	Abstract:In this paper, by applying the Hertz contact law and considering the effect of the structural deformation, the dynamic contact coefficient is proposed. On the base of the classical theory of thin plate, by using von Kaman equations the governing equations of the rectangular plate subjected to low velocity is built. Considering the effect of the structural deformation, the governing equations of contact force is coupled with that of the plate, thus the finite difference method is used and the displacement functions is discrete in space domains. Also, the Newmark method is used and the whole problem is solved by applying iterative method. The results shows the influence of boundary condition, material of the plate, impact speeds and other factors on the displacement, normal stress and contact force while considering the effect of the structural deformation.
	TO cite this article:HU Yaqing,DAI Hongliang,LIN Zhongyan. Nonlinear analysis for a rectangular plate subjected to low velocity impact considering the effect of the structural deformation[OL].[23 March 2018] http://en.paper.edu.cn/en_releasepaper/content/4744096


	2. Application of multiscale asymptotic expansion method to three dimensional periodical composite structures
	GAO Yahe,XING Yufeng,LI Min
	Mechanics 04 May 2017
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	Abstract:The decoupled Multiscale Asymptotic Expansion Method (MsAEM) is applied to the static analyses of three-dimensional (3D) periodical composite structures. The effects of perturbation orders, boundary conditions of unit cell problems and the derivatives of homogenized displacements on the accuracy are studied, the physical interpretation of the petrubation terms is revealed. By comprehensive results and comparisons, it is concluded that, 1) MsAEM can be viewed as the superposition method of different orders of admissible deformation modes represented by influence functions; 2) the second expansion term is leading in theoretical sense; 3) super unit cell approach and highly accurate differential quadrature method can improve the computational accuracy of influence functions and macro displacement derivatives; 4) the total potential energy functional is an effective method to evaluate the computational accuracy of displacements.
	TO cite this article:GAO Yahe,XING Yufeng,LI Min. Application of multiscale asymptotic expansion method to three dimensional periodical composite structures[OL].[ 4 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4732461

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	3. Vibration analysis of axially functionally graded beams with the composite element model
	LIU Jike,LV Zhongrong
	Mechanics 29 December 2016
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	Abstract:This paper presents a simple yet accurate approach to analyze the free and forced vibrations of axially functionally graded (AFG) beams. The governing equations of the beam is derived by Lagrange's equations and then discretized by the composite element method. Numerical simulations are presented to show the effects of Young's modulus variation, mass density variation, and slenderness ratios, on the dynamic characteristics of the AFG beams. The natural frequencies obtained from the proposed method are found to be in close agreement with those from finite element and other methods. The forced vibration responses of the AFG beam are also calculated from the proposed method and compared with those obtained from the finite element method (FEM). Time histories from both methods are found to match very well. This further indicates the correctness of the present method for forced vibration analysis of the AFG beam.
	TO cite this article:LIU Jike,LV Zhongrong. Vibration analysis of axially functionally graded beams with the composite element model[OL].[29 December 2016] http://en.paper.edu.cn/en_releasepaper/content/4715329


	4. The Interfacial Interactions and Size Effect of Carbon Nanotube Reinforced Composites
	YUAN Ding,XIONG Huifang,XIAO Tan
	Mechanics 09 November 2016
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	Abstract:Based on the Gurtin-Murdoch's elastic surface theory and the elastic energy principle, the issue of infinite carbon nanotube (CNT) reinforced composite under uniform external load was studied. The elastic equilibrium equations of interfacial interactions and the boundary conditions for the CNT reinforced composite were established. The analytic solutions of displacement and stress were given, and as a simple example, the stress concentration factors of an aluminum matrix with a cylindrical void were computed. The results show that the interfacial interactions do have an effect on the stress distribution of the matrix. The size effect is obvious when the void diameter is rather small, whereas the effect diminishes with the increase of the diameter and the stress concentration factors reduce to the classical solutions. CNT reinforced composites have great promise in becoming high performance structural composites. The work in this paper may shed light on the further studies on interfacial debonding of nanocomposites.
	TO cite this article:YUAN Ding,XIONG Huifang,XIAO Tan. The Interfacial Interactions and Size Effect of Carbon Nanotube Reinforced Composites[OL].[ 9 November 2016] http://en.paper.edu.cn/en_releasepaper/content/4709449


	5. Nucleation of detachment from the edge of an adhered thin elastic film
	HE Linghui
	Mechanics 28 November 2015
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	Abstract:Detachment of a thin elastic film adhered onto a rigid substrate via van der Waals force is studied in the two-dimensional setting. The film is assumed semi-infite ling and undergoes a peeling force transverse to its edge. By using the modified iteration method, the critical peeling force which gives rise to detachment nucleation from the edge of the film is derived in an analytical form.
	TO cite this article:HE Linghui. Nucleation of detachment from the edge of an adhered thin elastic film[OL].[28 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4666707


	6. Magnetoelectric effect and frequency multiplying behavior of layered composites in large ac magnetic fields
	Longfei Niu,Hong Yao,Yang Shi,Yuanwen Gao
	Mechanics 20 November 2015
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	Abstract:ME frequency multiplying behavior has wide applications in frequency multipliers, which can tune to a harmonic of the input frequency. It is necessary not only to widen frequency range of applications, but also to achieve more harmonics of output signals. We report a new way for adjusting the output signals frequencies by altering the applied dc magnetic fields and structures under a large ac magnetic field (100Oe). Without the dc magnetic field, some comparisons were made to study the differences of ME frequency multiplying behaviors among the different samples and as a result basic frequencies of output signals can be adjusted by changing the structures. Then, a dc magnetic field is applied to obtain more basic frequencies and distortions of output signals. At the same time, the dependences of ME effect on ac and dc magnetic fields are investigated, respectively. Our results show that structures have a significant influence on ME frequency multiplying behaviors: bilayers present more basic frequency than trilayer. Meanwhile, when a dc magnetic field was applied, odd harmonics generate and the numbers of basic frequencies increase. As the dc magnetic field continue to increase, ME frequency multiplying behaviors disappear gradually. For different samples, ME effects show different variations with the applied magnetic fields.
	TO cite this article:Longfei Niu,Hong Yao,Yang Shi, et al. Magnetoelectric effect and frequency multiplying behavior of layered composites in large ac magnetic fields[OL].[20 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4662851


	7. Fundamental elastic singular solutions for a layer perfectly bonded to a dissimilar substrate
	Ma Lifeng,Zhao Jing,Alexander M. Korsunsky
	Mechanics 03 March 2014
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	Abstract:A generic fundamental solution for an elastically dissimilar layer-substrate system with a generalized singularity embedded within the layer is derived in this study. The singularity can be a point force, an edge dislocation, a point moment, a point nucleus of strain, etc. The solutions can be used as Green's functions for integral equation formulations of layer problems in layer-substrate systems. The application of the solutions is demonstrated with two simple examples.
	TO cite this article:Ma Lifeng,Zhao Jing,Alexander M. Korsunsky. Fundamental elastic singular solutions for a layer perfectly bonded to a dissimilar substrate[OL].[ 3 March 2014] http://en.paper.edu.cn/en_releasepaper/content/4588628


	8. Phase-field approach to the electrostatic interaction of inhomogeneous dielectrics
	Y. Ni
	Mechanics 13 February 2014
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	Abstract:A phase-field method is proposed to solve the electrostatic field of materials with arbitrary dielectric inhomogeneities under applied electric field. This method is based on Eshelby's approach, in which the inhomogeneities are characterized by a prescribed effective polarization field, and on the phase-field theory for attaining the effective polarization. Through the variational principle, the method shows that the electrostatic field of the heterogeneous dielectrics can be evaluated by establishing an equivalent system having a homogeneous dielectric phase and a prescribed polarization field determined by a time-dependent Ginzburg-Landau equation. Possible applications of this method in heterogeneous dielectrics are discussed.
	TO cite this article:Y. Ni. Phase-field approach to the electrostatic interaction of inhomogeneous dielectrics[OL].[13 February 2014] http://en.paper.edu.cn/en_releasepaper/content/4584682


	9. Fractrue ananysis of functionally graded materials with arbitrary mechanical properties and two colinear cracks
	WANG Zhihai,ZHANG Li,HUANG Kai,BAI Xiaoming,GUO Licheng
	Mechanics 17 January 2014
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	Abstract:A new mechanical model is proposed for crack problem of FGMs with two colinear cracks and arbitrary mechanical properties in this paper. The stress and displacement fields of each crack embedded in the FGMs can be obtained by using integral transform methods. By use of boundary conditions, continuous conditions, stress and displacement fields of each crack, the crack problem is reduced to a group of singular integral equations. Moreover, stress intensity factors (SIFs) can be obtained by solving these singular integral equations. Finally, the influences of the nonhomogeneous and geometric parameters on the SIFs are discussed.
	TO cite this article:WANG Zhihai,ZHANG Li,HUANG Kai, et al. Fractrue ananysis of functionally graded materials with arbitrary mechanical properties and two colinear cracks[OL].[17 January 2014] http://en.paper.edu.cn/en_releasepaper/content/4582795


	10. Experimental Investigation of concrete under Moderate Dynamic Loading
	DONG Lixin,XU Shilang
	Mechanics 26 December 2013
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	Abstract:This paper presents the recent results of experimental investigations under dynamic loading aimed at disclosing the loading rate effect (mainly related to seismic loading range) on crack propagation in quasi-brittle fracture. Twenty four wedge-splitting tests were conducted using a servo-hydraulic machine under loading rates ranged from 0.001 mm/s to 10 mm/s. Strain gauges were mounted along the ligament of the specimen to measure the crack velocity and the crack propagation. Several important results were gained through the experimental investigations in this paper
	TO cite this article:DONG Lixin,XU Shilang. Experimental Investigation of concrete under Moderate Dynamic Loading[OL].[26 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4577394

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