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	1. 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


	2. 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

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	3. 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


	4. The size-dependent natural frequency of a circular nanoplate including different surface effects
	ZHOU Shasha,ZHOU Shenjie,LI Anqing,WANG Binglei
	Mechanics 13 May 2014
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	Abstract:In this paper, an analytical model of a circular nanoplate including different surface effects on the top and bottom layers is developed, which can be provided to discuss the size-dependent natural frequency of the nanoplate. The governing equation of the circular nanoplate is derived based on the plate theory and the continuum surface elasticity theory. Numerical results are obtained and compared with the previous literature. The results shown that the different surface properties of the top and bottom layers result in the different size-dependence of the natural frequency from the same surface properties of the nanoplate. This study might be helpful for the design of nanoplate-based resonant micro-biochemical sensors and some related researches.
	TO cite this article:ZHOU Shasha,ZHOU Shenjie,LI Anqing, et al. The size-dependent natural frequency of a circular nanoplate including different surface effects[OL].[13 May 2014] http://en.paper.edu.cn/en_releasepaper/content/4596536


	5. FE analysis of creep deformation of single crystal under temperature gradient
	YU Qingmin
	Mechanics 17 January 2012
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	Abstract:In this study, thin-walled cylindrical specimen was used to model air-cooled gas turbine blade. The deformation characteristic during creep under temperature gradient was investigated by finite element method. The creep parameters along [001] and elastic constants were taken from the experiment results of nickel-based single crystal superalloy DD3. The results show that the temperature gradient has notable influence on stress and strain distributions during creep. The stress of low temperature zone increases and that of high temperature zone decreases with the development of creep. The lower the temperature is, the higher the stress is. The increase of stress induces the increase of strain rate in low temperature zone. The strain rate in high temperature zone decreases due to the stress drop. The rapid changes of stress value and distribution result in the redistribution of strain in different temperature zone. The crack will appear firstly in low temperature zone for the higher stress and strain.
	TO cite this article:YU Qingmin. FE analysis of creep deformation of single crystal under temperature gradient[OL].[17 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4462846


	6. The mechanical mechanism of bolting based on elastic theory
	Ma Chao,Guo Xiaoqian
	Mechanics 21 January 2011
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	Abstract:Bolt support has been the main support form of the mine roadway in the underground endineering because of its obvious technical and economical superiority.Th theory of bloting is maturing with the practice of bolting technology continuously enriched.For this study,we built a mechanical modle for bolting,which represented the effect of a bolt on the surrounding rock in roadway. Simultaneously,we use the displacement method in elastical to deduce the elastic solution of forcing at point in the interioe of a semi-infinite solid. And we analyzed factors affecting the radical compression of the bolt on the surrounding rock. The results indicate that 1) the maximum radical compression stress declines first and then rises with the increase in depth from the surface of the anchorage surrounding rock and 2) the size of the radical compression area is mainly determined by the length of the bolt.
	TO cite this article:Ma Chao,Guo Xiaoqian. The mechanical mechanism of bolting based on elastic theory[OL].[21 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4408283


	7. Parametric investigation on thermally driven edge-cracking of a coating/substrate system
	Chen Xuejun,Liu Qi,Ma Qian
	Mechanics 10 January 2011
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	Abstract:In this paper, the thermally driven edge-cracking behavior of a coating-substrate system has been investigated. The transient thermal stress field has been derived in a closed form for the corresponding un-cracked counterpart medium. By applying the equal thermal stresses but with opposite sign on the crack surface to be the only external load, the thermal stress intensity factors (TSIFs) at the crack tip were then obtained. The finite element method was utilized to implement the calculation. Based on dimensional analysis, the main dimensionless parameters affecting TSIFs were identified and the dependence of TSIFs on these parameters was illustrated such as dimensionless time, crack depth, thermal constants as well as mechanical constants. These results may provide some useful references for designing coating-substrate system under rapidly changing thermal environments.
	TO cite this article:Chen Xuejun,Liu Qi,Ma Qian. Parametric investigation on thermally driven edge-cracking of a coating/substrate system[OL].[10 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4405692


	8. The L-integral description for a brittle elastic plane with two holes before, during, and after coalescence
	Hu Yifeng,Chen Yiheng
	Mechanics 27 January 2010
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	Abstract:This paper extends the L-integral concept [1-3] to study the degradation of a brittle elastic plan caused by irreversible evolution: the coalescence between two neighborly located holes under tensile loading. Attention is focused on the change of the L-integral before, during, and after coalescence of the two holes. By using Finite Element Analyses, different orientations of the two holes and different coalescence path curves connecting the rims of the two holes are studied in detail. It is found that variable tendencies of the L-integral before, during, and after coalescence of the different orientations of the two holes are quite different. Unlike the single defect, the L-integral for the two holes before coalescence could be either positive or negative representing energy release or energy absorbing induced from the two holes rotation, respectively. Whereas such feature disappears after coalescence of the two holes occurs and a single complicated defect forms. It is concluded that the L-integral does play an important role in description of the damage extent and damage evolution. Thus, besides the M-integral [4-9], the L-integral as another outside variable feature should also be adopted in description of damage evolution in brittle materials.
	TO cite this article:Hu Yifeng,Chen Yiheng. The L-integral description for a brittle elastic plane with two holes before, during, and after coalescence[OL].[27 January 2010] http://en.paper.edu.cn/en_releasepaper/content/39551


	9. Surface effect and size dependence on the energy release due to a nano InAs inclusion expansion in a GaAs matrix material
	Hui Tong,Chen Yiheng
	Mechanics 20 January 2010
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	Abstract:This paper deals with the surface effect and size dependence on the energy release due to a nano InAs inclusion expansion in an infinite plane GaAs matrix material under uni-axial or bi-axial loadings. By accounting for the surface tension and the surface Lamẻ constants, the variable tendencies of the M-integral representing the energy release due to the inclusion expansion against the loading or against the inclusion radius are plotted and discussed in detail. It is concluded that the surface effect inhibits the M-integral significantly and the M-integral may be either positive related to the energy release or negative related to the energy absorbing. This is because the mutual interaction between the external loading and the surface effect yields an additional contribution to the M-integral, which is always negative and proportional to the external loading.
	TO cite this article:Hui Tong,Chen Yiheng. Surface effect and size dependence on the energy release due to a nano InAs inclusion expansion in a GaAs matrix material[OL].[20 January 2010] http://en.paper.edu.cn/en_releasepaper/content/39220


	10. A new form of Strain Gradient Elasticity
	Zhao Bing,Zheng Yingren,Yan Xiaoqiang,Song Yi
	Mechanics 20 April 2009
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	Abstract:Following the definition of internal characteristic length vector, the strain energy density is postulated to depend on both the strain tensor and the strain gradient tensor. A new form of strain gradient elasticity constitutive was derived directly from the strain energy density expansion method at the initial state. When internal characteristic length vector equals to zero, the expressions can be degenerated to the classical elastic theory. Based on the principle of virtual power, the variational principle, boundary condition and Finite Element Formulation of the new form of strain gradient elasticity are given.
	TO cite this article:Zhao Bing,Zheng Yingren,Yan Xiaoqiang, et al. A new form of Strain Gradient Elasticity[OL].[20 April 2009] http://en.paper.edu.cn/en_releasepaper/content/31553

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