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	1. 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


	2. 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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	3. Description of structure shape implicitly using KS function
	Zhou Ying,Zhang Weihong
	Mechanics 23 December 2013
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	Abstract:Complex structure can be constructed of primitive geometries (such as cube, sphere, cylinder, and so on) by Boolean operations. However, Boolean operation is not analytic. In this paper, through the analysis of corresponding between Boolean operation and functional calculation, we propose a new shape description method based on a mathematical function―KS function. Using this method, complex engineering structures can be described by a single implicit function. We show applications of this method to 2D and 3D engineering parts.
	TO cite this article:Zhou Ying,Zhang Weihong. Description of structure shape implicitly using KS function[OL].[23 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4577742


	4. An evaluation of convergence criteria on digital image correlation
	Pan Bing
	Mechanics 15 December 2013
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	Abstract:A fast, robust and accurate digital image correlation (DIC) method, which uses an efficient inverse compositional matching Gauss-Newton (IC-GN) algorithm, was recently proposed for full-field deformation measurement. As an iterative local optimization algorithm, IC-GN algorithm iteratively solves for the incremental warp assumed on the reference subset until the preset convergence criteria are satisfied. In the literature, different convergence criteria have been set for iterative optimization algorithms. However, on the one hand, stringent convergence criteria lead to increased number of iterations and lessen the computational efficiency. On the other hand, too loose convergence conditions enhance the computational efficiency but may decrease the registration accuracy. Understanding the impact of prescribed convergence criteria on DIC measurement and how to choose proper convergence criteria are therefore fundamental problems in realizing high-efficiency yet high-accuracy DIC analysis. In this paper, the convergence characteristics of IC-GN algorithm are investigated using real experimental images. The effect of various convergence criteria on the efficiency and accuracy of IC-GN algorithm are carefully examined. Recommendations are given to select proper convergence criteria for more efficient implement of IC-GN algorithm.
	TO cite this article:Pan Bing. An evaluation of convergence criteria on digital image correlation[OL].[15 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4575332


	5. Theoretic Life Solutions of Cylindrical Sample Under Shear Strain
	XIAO Jianhua,WANG Jingjing
	Mechanics 13 December 2013
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	Abstract:For given boundary condition and motion equations, the theoretic solutions of displacement and stresses for simple one directional macro rheology deformation of cylindrical sample under long time loading condition are the topic for this work. The material features are defined by elastic constants and viscosity constants as a general elastic-flow material. The time-evolution solutions are obtained to answer the intrinsic features of rheology deformation under the condition that in macro scale, the deformation is one directional. These new results are used to explain the fatigue and cracking development phenomenon in typical engineering environments. The research shows that: 1) The fatigue and cracking are originated from the self-evolution of deformation as a rheology deformation; 2) The fatigue and cracking have different mechanism. The compressive cracking is similar with fatigue, while the extension cracking is not; 3) The fatigue or cracking feature of material is described by viscosity parameter. A natural life scale of material can be defined as the ratio of viscosity over elasticity. 4) The viscosity parameter measurements can be used to estimate life of material or to estimate the potential instability.
	TO cite this article:XIAO Jianhua,WANG Jingjing. Theoretic Life Solutions of Cylindrical Sample Under Shear Strain[OL].[13 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4574815


	6. Vibration and instability of fluid-conveying single-walled carbon nanotubes based on the modified couple stress theory
	KE Liaoliang
	Mechanics 23 August 2013
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	Abstract: This paper presents an analytical solution to the vibration and instability of fluid-conveying single-walled carbon nanotubes (SWCNTs) based on the modified couple stress theory and Timoshenko beam theory. This non-classical Timoshenko beam model, which incorporates the Poisson's ratio effect, contains a material length scale parameter and can capture the size effect. The higher-order governing equations and boundary conditions are derived by using the Hamilton's principle. A detailed parametric study is conducted to study the influences of length scale parameter, Poisson's ratio, aspect ratio of the SWCNTs, velocity of the fluid and end supports on the vibration and flow-induced instability of SWCNTs. Results show that increasing the length scale parameter increases the real component of the frequency and the critical flow velocity of the fluid-conveying SWCNTs.
	TO cite this article:KE Liaoliang. Vibration and instability of fluid-conveying single-walled carbon nanotubes based on the modified couple stress theory[OL].[23 August 2013] http://en.paper.edu.cn/en_releasepaper/content/4556546


	7. Zanaboni Theory and Saint-Venant's Principle
	ZHAO Jianzhong
	Mechanics 04 June 2013
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	Abstract:Zanaboni Theory is mathematically analyzed in this paper. The conclusion is that Zanaboni Theorem is invalid and not a proof of Saint-Venant's Principle; Discrete Zanaboni Theorem and Zanaboni's energy decay are inconsistent with Saint-Venant's decay; the inconsistency, discussed here, between Zanaboni Theory and Saint-Venant's Principle provides more proofs that Saint-Venant's Principle is not generally true.
	TO cite this article:ZHAO Jianzhong. Zanaboni Theory and Saint-Venant's Principle[OL].[ 4 June 2013] http://en.paper.edu.cn/en_releasepaper/content/4546803


	8. Free vibration of functionally graded sinusoidal microbeams based on the strain gradient elasticity theory
	LEI Jian,HE Yuming,ZHANG Bo,GAN Zhipeng,ZENG Pengcheng
	Mechanics 28 May 2013
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	Abstract:In this paper, a novel size-dependent beam model made of functionally graded materials (FGMs) is developed based on the strain gradient elasticity theory and sinusoidal shear deformation theory. The material properties of the functionally graded (FG) microbeams are assumed to vary in the thickness direction and are estimated through the Mori-Tanaka homogenization technique. Governing equations and boundary conditions are derived simultaneously by using Hamilton's principle. The new model contains three material length scale parameters and can consequently capture the size effect. In addition, the newly developed model degenerates to the modified couple stress sinusoidal beam model or the classical sinusoidal beam model by setting two or all material length scale parameters to zero. The Navier-type solution is developed for simply-supported boundary conditions. Numerical results are presented to investigate the influences the material length scale parameter, different material compositions, and shear deformation on free vibration behavior of FG microbeams. Some of the present results are compared with the previously published results to establish the validity of the present formulation. It is established that the present FG microbeams exhibit significant size-dependence when the thickness of the microbeam approaches to the material length scale parameter.
	TO cite this article:LEI Jian,HE Yuming,ZHANG Bo, et al. Free vibration of functionally graded sinusoidal microbeams based on the strain gradient elasticity theory[OL].[28 May 2013] http://en.paper.edu.cn/en_releasepaper/content/4545693


	9. Crack tip deformation measurement using single-element extended digital image correlation
	Chen Jinlong,Zhang Xiaochuan,Zhan Nan
	Mechanics 18 December 2012
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	Abstract:Since the crack tip displacement field influences the crack paths under both fatigue and fracture conditions strongly, it is very important to develop a test method with high accuracy to measure this deformation parameter. Single-element extended digital image correlation (X-DIC) using the enrichment function to describe the crack tip singularity, which could measure the discontinuous deformation directly. Simulated images are used to verify the performance of single-element X-DIC, the measured crack tip displacement field is in accordance with the given value. Displacement fields of the compact tension specimen under pure mode I loading condition was measured. The influence to the measurement accuracy caused by the crack width，subset size and subset location was discussed. All results in this paper show that single-element X-DIC could be used to measure the crack tip displacement field with high accuracy.
	TO cite this article:Chen Jinlong,Zhang Xiaochuan,Zhan Nan. Crack tip deformation measurement using single-element extended digital image correlation[OL].[18 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4505660


	10. Critical Buckling Analysis of Complex Structures with Uncertain Initial Geometric Imperfection via Convex Methods
	Wang Xiaojun ,Xiao Chen,Zhiping Qiu
	Mechanics 10 December 2012
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	Abstract:Critical buckling problem of complex structures with uncertain initial geometric imperfection was studied based on the non-probabilistic convex methods. By virtue of the Taylor series expansion, interval analysis and convex models were proposed to predict the worst critical buckling load and the weakest shape of the initial geometric imperfection for complex structures, which may overcome the limitation of the analytical or series solutions of critical buckling load that is viable only for simple structures. The non-probabilistic convex methods and probabilistic method were compared critically. Composite stiffened plate and cylindrical shell were used to illustrate the feasibility and validity of the proposed methods.
	TO cite this article:Wang Xiaojun ,Xiao Chen,Zhiping Qiu. Critical Buckling Analysis of Complex Structures with Uncertain Initial Geometric Imperfection via Convex Methods[OL].[10 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4502287

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