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Cavitation for Incompressible Anisotropic Hyper-Elastic Materials 被引量:4
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作者 任九生 程昌钧 《Journal of Shanghai University(English Edition)》 CAS 2002年第3期185-190,共6页
The cavitation problem in a solid sphere composed of an incompressible anisotropic hyper elastic material under a uniform radial tensile dead load was examined. A new analytical solution was obtained. The stress cont... The cavitation problem in a solid sphere composed of an incompressible anisotropic hyper elastic material under a uniform radial tensile dead load was examined. A new analytical solution was obtained. The stress contributions were given and the jumping and concentration of stresses were discussed. The stability of solutions and the effect of the degree of anisotropy of the material were analyzed. 展开更多
关键词 anisotropic incompressible hyper elastic material cavitated bifurcation jumping and concentration of stress energy comparison.
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On stability of elastic domain during isothermal solid-solid phase transformationin a tube configuration 被引量:1
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作者 Liang Dong Qing-Ping Sun 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第3期683-694,共12页
Under isothermal quasi-static stretching the phase transition of a superelastic NiTi tube involves the formation (during loading) and vanishing (in unloading) of a high strain (martensite) domain. The two events... Under isothermal quasi-static stretching the phase transition of a superelastic NiTi tube involves the formation (during loading) and vanishing (in unloading) of a high strain (martensite) domain. The two events are accompanied by a rapid stress drop/rise due to the formation/vanishing of do- main fronts. From a thermodynamic point of view, both are instability phenomena that occur once the system reaches its critical state. This paper investigates the stability of a shrink- ing cylindrical domain in a tube configuration during unload- ing. The energetics and thermodynamic driving force of the cylindrical domain are quantified by using an elastic inclu- sion model. It is demonstrated that the two domain fronts ex- hibit strong interaction when they come close to each other, which brings a peak in the total energy and a sign change in the thermodynamic driving force. It is proved that such domain front interaction plays an important role in control- ling the stability of the domain and in the occurrence of stress jumps during domain vanishing. It is also shown that the pro- cess is governed by two nondimensional length scales (the normalized tube length and normalized wall-thickness) and that the length scale dependence of the critical domain length and stress jump for the domain vanishing can be quantified by the elastic inclusion model. 展开更多
关键词 Cylindrical elastic domain Stability of domain Domain front Critical domain length stress jump ~ Ther-modynamic driving force
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Steady rotation of a composite sphere in a concentric spherical cavity 被引量:1
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作者 D.Srinivasacharya M.Krishna Prasad 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第3期653-658,共6页
The problem of steady rotation of a composite sphere located at the centre of a spherical container has been investigated. A composite particle referred to in this paper is a spherical solid core covered with a permea... The problem of steady rotation of a composite sphere located at the centre of a spherical container has been investigated. A composite particle referred to in this paper is a spherical solid core covered with a permeable spherical shell. The Brinkman's model for the flow inside the compos- ite sphere and the Stokes equation for the flow in the spheri- cal container were used to study the motion. The torque ex- perienced by the porous spherical particle in the presence of cavity is obtained. The wall correction factor is calculated. In the limiting cases, the analytical solution describing the torque for a porous sphere and for a solid sphere in an un- bounded medium are obtained from the present analysis. 展开更多
关键词 Rotation Porous sphere Solid core Stokesflow Brinkman equation stress jump coefficient. Torque Wall correction factor
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A Simple Model for Earthquake Instability
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作者 Li Ping'en Yin Youquan 《Earthquake Research in China》 2010年第2期179-189,共11页
Based on the heterogeneity of fault plane strength,the macro rupture process of a fault plane can be treated as the rupture accumulation process of local micro-elements in the fault surface.Assuming that the strength ... Based on the heterogeneity of fault plane strength,the macro rupture process of a fault plane can be treated as the rupture accumulation process of local micro-elements in the fault surface.Assuming that the strength of the local micro-elements follows the Weibull probability distribution,the macro-fault constitutive relationship of the complete load-deformation process is derived from a statistical mechanics viewpoint.Applying a one-dimensional earthquake mechanics model and using far-field displacement a as the control variable,the problem of earthquake instability is investigated by employing the stability theory.The results show that the system stiffness ratio(stiffness ratio of fault to surroun-ding rock) β is the important parameter that affects the occurrence of earthquakes.Earthquake instability occurs only when β < 1,and the sudden stress jump appears at the displacement turning point of the equilibrium path curve.The expression of three important parameters for earthquakes(fault half-dislocation distance after earthquake,earthquake stress drop and elastic energy release) is also given.When β≥1,the earthquake does not occur and the fault only slips slowly without an earthquake. 展开更多
关键词 Earthquake instability Fault rupture Weibuil probability distribution Fault constitutive relation Equilibrium path curve stress sudden jump
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Analysis of 2D Flow and Heat Transfer Modeling in Fracture of Porous Media 被引量:9
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作者 GUO Chunsheng NIAN Xianbo +3 位作者 LIU Yong QI Chao SONG Jinsheng YU Wenhe 《Journal of Thermal Science》 SCIE EI CAS CSCD 2017年第4期331-338,共8页
Heat and mass transfer between porous media and fluid is a complex coupling process, which is widely used in various fields of engineering applications, especially for natural and artificial fractures in oil and gas e... Heat and mass transfer between porous media and fluid is a complex coupling process, which is widely used in various fields of engineering applications, especially for natural and artificial fractures in oil and gas extraction. In this study, a new method is proposed to deal with the flow and heat transfer problem of steady flow in a fracture. The fluid flow in a fracture was described using the same method as Mohais, who considered a fracture as a channel with porous wall, and the perturbation method was used to solve the mathematical model. Unlike previous studies, the shear jump boundary condition proposed by Ochoa-Tapia and Whitaker was used at the interface between the fluid and porous media. The main methods were perturbation analysis and the application of shear jump boundary conditions. The influence of permeability, channel width, shear jump degree and effective dynamic viscosity on the flow and heat transfer in the channel was studied by analysing the analytical solution. The distribution of axial velocity in the channel with the change of the typical parameters and the sensitivity of the heat transfer was obtained. 展开更多
关键词 Heat and Mass Transfer FRACTURE Porous Media stress Jump Boundary Condition Analytical Solution
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