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.

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	1. 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


	2. Theoretic Solutions for Vortex Street behind a Cylinder
	XIAO Jianhua
	Mechanics 03 December 2013
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	Abstract:Using the inertial velocity field, in commoving dragging coordinator formulation, the instant deformation (deformation in unit time duration) of fluid is formulated. By linear momentum conservation and angular momentum conservation, the generally motion equations are established. They show that: along the streamline, if the instant local rotation angular is invariants, the flow velocity tends decrease. So, the curvature of streamline is increased gradually and finally ended in a center where flow velocity is zero. Through introducing a parameter function defined roughly along streamline, taking the velocity are known quantities, the theoretic solutions for the fluid instant deformation (flow behind circular cylinder) are obtained. Therefore, a set of form solution for digital calculations are established. These theoretic results are valuable for understanding the vortex flow. As a natural expectation, it is valuable for exposing the mechanism of turbulence phenomenon.
	TO cite this article:XIAO Jianhua. Theoretic Solutions for Vortex Street behind a Cylinder[OL].[ 3 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4572902

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	3. Dynamic behavior of fluid-conveying single-walled carbon nanotube with initial stress based on nonlocal Euler-Bernoulli beam theory
	WANG Bo,DENG Zichen
	Mechanics 11 October 2013
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	Abstract:In this study, the force vibration analysis of fluid-conveying single-walled carbon nanotube (SWCNT) with an axial initial stress under harmonic load is performed. Firstly, the governing partial differential equation for the fluid filled SWCNT is derived by the nonlocal Euler-Bernoulli beam model. Secondly, the Galerkin method is applied to discretize the partial differential equation of motion to a second-order linear differential equation. Then, an analytical expression for the problem is obtained, and the improved precise integrator method (IPIM) is carried out to solve the linear differential equation. Finally, the results of this paper verify the IPIM, and the results also show the influence of flow velocity on the dynamic behaviour of fluid-conveying SWCNT with initial stress. This study may be useful for further study of the dynamic properties of fluid-conveying SWCNT and design of nano-devices.
	TO cite this article:WANG Bo,DENG Zichen. Dynamic behavior of fluid-conveying single-walled carbon nanotube with initial stress based on nonlocal Euler-Bernoulli beam theory[OL].[11 October 2013] http://en.paper.edu.cn/en_releasepaper/content/4563526


	4. Reliability of MDOF nonlinear oscillators with fractional derivative damping driven by real noise excitation
	CHEN Lincong
	Mechanics 08 October 2013
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	Abstract:In this paper, the reliability of multi-degree-of-freedom (MDOF) nonlinear oscillators with fractional derivative damping under real noise excitation is considered. First, the original system is reduced to a set of averaged It? equations by using the stochastic averaging method. Then, the conditional reliability function and the conditional mean of the first passage time are obtained by formulating and solving the backward Kolmogorov equation. Finally, an example is worked out for illustration. .
	TO cite this article:CHEN Lincong. Reliability of MDOF nonlinear oscillators with fractional derivative damping driven by real noise excitation[OL].[ 8 October 2013] http://en.paper.edu.cn/en_releasepaper/content/4562833


	5. Solitonic shape restoring and soliton complex fora variant Boussinesq system with variable coefficients in fluiddynamics
	Wang Lei
	Mechanics 29 September 2013
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	Abstract:For the nonlinear and dispersive long gravity waves traveling in twohorizontal directions with varying depth of the water, we consider avariant Boussinesq with variable coefficients (vcvB) system withsymbolic computation. Using the Darboux transformationof the vcAKNS system, we present the double Wronskian-type solutionfor the vcvB system. Two sorts of inelastic interactions for thevcvB system are graphically discussed.
	TO cite this article:Wang Lei. Solitonic shape restoring and soliton complex fora variant Boussinesq system with variable coefficients in fluiddynamics[OL].[29 September 2013] http://en.paper.edu.cn/en_releasepaper/content/4561906


	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. The effect of wettability on the dynamical behaviors of single-walled carbon nanotube
	YAN Yan,WANG Wenquan
	Mechanics 28 March 2013
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	Abstract:The dynamical behaviors of single-walled carbon nanotube (SWCNT) with the internal and external wettability are studied based on a multiple flexible shell model in the paper. The SWCNT-water system comprises five constituent parts, i.e., the SWCNT, the absorbed inner and outer layers of water molecules, the water in the center of the SWCNT and the water surrounding the absorbed outer water layer. Here we consider the absorbed water layers as infinitesimally thin shells, which interact with the nanotube via a continuum Lennard-Jones potential and find that the interactions of SWCNT and the water layer are responsible for an upshift in the frequency of the SWCNT and the total upshift is approximately the sum of the two corresponding upshifts. The vdW interactions also cause the increase of the frequency of internal and external water shells. As we all know, the wettability is highly relevant with the use of CNTs in nanofluidics devices, so the effects of local environment on the dynamical behaviors of CNTs should be lucubrated. We hope that the paper can offer a new modeling approach to determine whether carbon nanotubes have adsorbed fluids inside their pores and could be used for detecting changes in their filling state.
	TO cite this article:YAN Yan,WANG Wenquan. The effect of wettability on the dynamical behaviors of single-walled carbon nanotube[OL].[28 March 2013] http://en.paper.edu.cn/en_releasepaper/content/4534206


	10. Stability analysis of double-walled carbon nanotubes with initial stress
	YAN Yan,WANG Wenquan
	Mechanics 28 March 2013
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	Abstract:In the paper, the stability of the double-walled carbon nanotubes (DWCNTs) under the initial axial stress are studied. Galerkin and harmonic balance method are used to analyze the relation between the amplitudes and the frequencies of the tubes. The results show that the critical initial stress plays a significant control role in the amplitude-frequency curves. When the initial axial stress is less than the critical initial stress, DWCNTs have twice dynamical mode transitions corresponding to twice noncoaxial vibrations, however, when the initial axial stress is larger than the critical initial stress, the topological forms of the amplitude-frequency curve are changeable, which are corresponding to coaxial vibration or three possible noncoaxial vibration type. Since noncoaxial vibration will distort otherwise concentric geometry of multiwall carbon nanotubes, it could crucially affect their physical (such as electronicl) properties.
	TO cite this article:YAN Yan,WANG Wenquan. Stability analysis of double-walled carbon nanotubes with initial stress[OL].[28 March 2013] http://en.paper.edu.cn/en_releasepaper/content/4534203

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