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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. A Hermite differential quadrature finite element method and its application to free vibration of thin plates | |||
XING Yufeng,WU Yang | |||
Mechanics 09 May 2017 | |||
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Abstract:A Hermitedifferential quadraturefinite element method (Hermite DQFEM) is proposed and elaborated in this paper.Hermite differential quadrature (HDQ) rules based on the Hermite interpolation on two end points and Lagrange interpolation at other nodes are formulated. The optimized sampling points for the HDQ rules that provide the best interpolation accuracy were shown to be roots Jacobi polynomials with weights(3, 3). The HDQ rules together with the Gauss-Lobatto-Legendre integration rules were used to discretize the potential functional of thin plates in curvilinear domainto obtained HermiteDQFEM or weak form HDQ matrices. In comparison with Lagrange DQFEM results or available exact andother numerical results, high accuracy and rapid convergence were achieved without numerical stability even with a large number of sampling points, which indicates that the Hermite DQFEM has attractive potential as a novel numerical technique. | |||
TO cite this article:XING Yufeng,WU Yang. A Hermite differential quadrature finite element method and its application to free vibration of thin plates[OL].[ 9 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4732449 |
3. 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 |
4. Fatigue physically short crack growth from a notch by plasticity-corrected stress intensity factor | |||
Li Meng,Menghao Yang,Zhonghua Li,Miaolin Feng | |||
Mechanics 02 May 2017 | |||
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Abstract:When a physically short crack propagates from a notch root, the crack growth rate shows a "V-shape" behavior, the rate firstly decreases and then increases with the crack growth. In this study, a plasticity-corrected stress intensity factor (PC-SIF) is applied to describe the effects of notch plastic zone and crack-tip plastic zone on the short crack growth in ductile materials under cyclic tensile load. Compact tension (CT) 1070 steel specimens with different notch sizes and loading ratios are examined. The "V-shape" curves of fatigue crack growth (FCG) data can be condensed into straight lines if the PC-SIF range was used due to the consideration of the influence of plastic zone near the notch root. The ratio between PC-SIF range and stress intensity factor (SIF) range can be fitted by exponential equations, and the expressions before and after the turning point of the "V-shape" curves are distinguish difference. | |||
TO cite this article:Li Meng,Menghao Yang,Zhonghua Li, et al. Fatigue physically short crack growth from a notch by plasticity-corrected stress intensity factor[OL].[ 2 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4729794 |
5. 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 |
6. A Two-step Approach for Damage Identification in Axially Functionally Graded Beams | |||
LIU Jike,LV Zhongrong | |||
Mechanics 29 December 2016 | |||
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Abstract:This study presents a two-stage approach based on residual force vector and response sensitivity analysis for structural damage identification in axially functionally graded (AFG) beams. The local damage is simulated by a reduction in the elemental Young's modulus of the beam. The residual force vector is used to find the possible damaged elements in the beam at first. Then, a hybrid objective function is established and a sensitivity-based model updating method is adopted to identify the perturbation of the stiffness parameter from the measured dynamic responses. Two numerical examples are investigated to illustrate the correctness and efficiency of the proposed method. Damage identification results from measured natural frequencies and the dynamic responses from different excitation forces are compared. The effects of measurement noise on the identification results are investigated. Studies in this paper indicate that the proposed method is efficient and robust for identifying damages in the axially functionally graded beams. Good identified results can be obtained from the short time histories of a few number of measurement points and the first several natural frequencies. | |||
TO cite this article:LIU Jike,LV Zhongrong. A Two-step Approach for Damage Identification in Axially Functionally Graded Beams[OL].[29 December 2016] http://en.paper.edu.cn/en_releasepaper/content/4715444 |
7. 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 |
8. The Ultimate load-carrying capacity of a thin-walled shuttle cylinder structure with cracks under eccentric compressive force | |||
CAO Caiqin,LIU Kan,DONG Junzhe | |||
Mechanics 13 July 2016 | |||
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Abstract:The eccentric compression thin-walled shuttle cylinders structure is introduced, and elastic eigenvalue buckling of this kind of column with circumferential cracks is numerically simulated by the finite element method (FEM). Besides, based on the numerical results, ultimate load-carrying capacity analysis of eccentric compression thin-walled shuttle cylinders structure with cracks was studied in which geometric nonlinearity is included. The influences of some parameters, including the crack length, eccentricity, slenderness ratio and tapering ratio of thin-walled shuttle cylinders structure, have been taken into consideration. The results show that the ultimate load carrying capacity and the stability behavior can be improved by increasing the tapering ratio or decreasing slenderness ratio, eccentricity and crack length. And they also show that the eccentricity has a relationship with the influence of the crack length on stability behavior, that is, the ultimate load-carrying capacity is improved by decreasing the crack length only when the eccentricity is less than a certain value. Otherwise, when an eccentricity is larger than a certain value the crack length will have no effect on the ultimate load -carrying capacity of structure. | |||
TO cite this article:CAO Caiqin,LIU Kan,DONG Junzhe. The Ultimate load-carrying capacity of a thin-walled shuttle cylinder structure with cracks under eccentric compressive force[OL].[13 July 2016] http://en.paper.edu.cn/en_releasepaper/content/4699851 |
9. A semi-permeable crack in an infinite piezoelectric plane subjected to coupling loads | |||
Xie Chao,Ma Tingfeng | |||
Mechanics 11 May 2016 | |||
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Abstract:Based on complex potential method, this paper studies the multi-field coupling effects on a semi-permeable crack in an infinite electro-thermo-elastic material subjected to combined mechanical, thermal and electric loads. The explicit expressions of temperature field and electroelastic field are given in closed form and the expressions of electric displacement intensity factor and stress intensity factors are also presented. Numerical curves are shown to discuss the effects of combined loads, material stiffness, thermoelectric coupling and dielectric permeabilities on the induced electric field inside the crack and intensity factors of stresses and electric displacement. | |||
TO cite this article:Xie Chao,Ma Tingfeng. A semi-permeable crack in an infinite piezoelectric plane subjected to coupling loads[OL].[11 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4689222 |
10. Surface Morphology of an Elastic Solid Induced by van der Waals Force from a Rigid Particle | |||
HE Linghui | |||
Mechanics 07 December 2015 | |||
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Abstract:Molecular interaction between a rigid spherical particle and a semi-infinite incompressible elastic substrate is studied by invoking the Lennard-Jones potential. It is inferred that the particle exerts a distributed normal force to the substrate surface. Then the surface deformation of the substrate is obtained analytically by using the Green function technique. The effects of particle size and position on the surface morphology of the deformed substrate are discussed, and the results may be helpful to the understanding of some phenomena such as particle adsorption on elastic surfaces as well as tip-surface interaction in atomic force microscope measurements. | |||
TO cite this article:HE Linghui. Surface Morphology of an Elastic Solid Induced by van der Waals Force from a Rigid Particle[OL].[ 7 December 2015] http://en.paper.edu.cn/en_releasepaper/content/4666764 |
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