Based on our 2D BEM software THBEM2 which can be applied to thesimulation of an elastic body with randomly distributed identicalcircular holes, a scheme of BEM for the simulation of elastic bodieswith randomly distrib...Based on our 2D BEM software THBEM2 which can be applied to thesimulation of an elastic body with randomly distributed identicalcircular holes, a scheme of BEM for the simulation of elastic bodieswith randomly distributed circular inclusions is proposed. Thenumerical examples given show that the bound- ary element method ismore accurate and more effective than the finite element method forsuch a problem. The scheme presented van also be successfully used toestimate the effective elastic properties of composite Materials.展开更多
The heat dipole consists of a heat source and a heat sink. The problem of an interracial crack of a composite containing a circular inclusion under a heat dipole is investigated by using the analytical extension techn...The heat dipole consists of a heat source and a heat sink. The problem of an interracial crack of a composite containing a circular inclusion under a heat dipole is investigated by using the analytical extension technique, the generalized Liouville theorem, and the Muskhelishvili boundary value theory. Temperature and stress fields are formulated. The effects of the temperature field and the inhomogeneity on the interracial fracture axe analyzed. As a numerical illustration, the thermal stress intensity factors of the interfacial crack are presented for various material combinations and different positions of the heat dipole. The characteristics of the interfacial crack depend on the elasticity, the thermal property of the composite, and the condition of the dipole.展开更多
The plane elastic problem of circular-arc rigid line inclusions is considered. The model is subjected to remote general loads and concentrated force which is applied at an arbitrary point inside either the matrix or t...The plane elastic problem of circular-arc rigid line inclusions is considered. The model is subjected to remote general loads and concentrated force which is applied at an arbitrary point inside either the matrix or the circular inclusion. Based on complex variable method, the general solutions of the problem were derived. The closed form expressions of the sectionally holomorphic complex potentials and the stress fields were derived for the case of the interface with a single rigid line. The exact expressions of the singular stress fields at the rigid line tips were calculated which show that they possess a pronounced oscillatory character similar to that for the corresponding crack problem under plane loads. The influence of the rigid line geometry, loading conditions and material mismatch on the stress singularity coefficients is evaluated and discussed for the case of remote uniform load.展开更多
Interaction between multiple curved rigid line and circular inclusion in antiplane loading condition was considered. Two kinds of elementary solutions corresponding to a concentrated force applying at inclusion and ma...Interaction between multiple curved rigid line and circular inclusion in antiplane loading condition was considered. Two kinds of elementary solutions corresponding to a concentrated force applying at inclusion and matrix material respectively were presented. Utilizing the elementary solutions and taking density function of traction difference along curved rigid line, a group of weakly singular integral equations with log kernels can be obtained. After the numerical solution of the integral equations, the discrete values of density functions of traction difference are obtainable. So stress singularity coefficients at rigid line tips can be calculated, and several numerical examples are given.展开更多
The weakly singular integral equation sued to solve the problem ofthe curved crack crossing the boundary of the antiplane circularinclusion is presented. Using the principal part analysis method ofthe Cauchy type inte...The weakly singular integral equation sued to solve the problem ofthe curved crack crossing the boundary of the antiplane circularinclusion is presented. Using the principal part analysis method ofthe Cauchy type integral equation, the singular stress index at theintersection and the singular stress of angular Regions near theintersection are obtained. By using the singular stress obtained, thestress intensity factor at The intersection is defined. After thenumerical solution of the integral equation, the stress intensityfactors at The end points of the crack and intersection areobtainable.展开更多
Antiplane multiple curved crack problem in circular inclusion and matrix material is considered. In order to solve the proposed problem, two kinds of elementary solutions corresponding to a point screw dislocation in ...Antiplane multiple curved crack problem in circular inclusion and matrix material is considered. In order to solve the proposed problem, two kinds of elementary solutions corresponding to a point screw dislocation in inclusion and matrix material respectively are presented. Utilizing the elementary solutions and taking the density of dislocation along cracks surfaces as unknown functions, by the principle of superposition, a group of weakly singular integral equations with log kernels can be obtained. After the numerical solution of the integral equations, the discrete values of dislocation density are obtainable. So stress intensity factors at the cracks tips can be calculated, and several numerical examples are given.展开更多
The interaction between multiple curved rigid line and circular inclusion in antiplane loading condition is considered in this paper. By utilizing the point force elementary solutions and taking density function of tr...The interaction between multiple curved rigid line and circular inclusion in antiplane loading condition is considered in this paper. By utilizing the point force elementary solutions and taking density function of traction difference along curved rigid lines, a group of weakly singular integral equations with logarithmic kernels can be obtained. After the numerical solution of the integral equations, the discrete values of density functions of traction difference are obtainable. So the stress singularity coefficient at rigid line tips can be calculated, and two numerical examples are given.展开更多
基金the National Natural Science Foundation of China(No.19772025)
文摘Based on our 2D BEM software THBEM2 which can be applied to thesimulation of an elastic body with randomly distributed identicalcircular holes, a scheme of BEM for the simulation of elastic bodieswith randomly distributed circular inclusions is proposed. Thenumerical examples given show that the bound- ary element method ismore accurate and more effective than the finite element method forsuch a problem. The scheme presented van also be successfully used toestimate the effective elastic properties of composite Materials.
基金support of the Natural Science Foundation of Hunan Province of China(No. 05JJ30140) is gratefully acknowledged
文摘The heat dipole consists of a heat source and a heat sink. The problem of an interracial crack of a composite containing a circular inclusion under a heat dipole is investigated by using the analytical extension technique, the generalized Liouville theorem, and the Muskhelishvili boundary value theory. Temperature and stress fields are formulated. The effects of the temperature field and the inhomogeneity on the interracial fracture axe analyzed. As a numerical illustration, the thermal stress intensity factors of the interfacial crack are presented for various material combinations and different positions of the heat dipole. The characteristics of the interfacial crack depend on the elasticity, the thermal property of the composite, and the condition of the dipole.
基金Project supported by the National Natural Science Foundation of China (No.10472030)
文摘The plane elastic problem of circular-arc rigid line inclusions is considered. The model is subjected to remote general loads and concentrated force which is applied at an arbitrary point inside either the matrix or the circular inclusion. Based on complex variable method, the general solutions of the problem were derived. The closed form expressions of the sectionally holomorphic complex potentials and the stress fields were derived for the case of the interface with a single rigid line. The exact expressions of the singular stress fields at the rigid line tips were calculated which show that they possess a pronounced oscillatory character similar to that for the corresponding crack problem under plane loads. The influence of the rigid line geometry, loading conditions and material mismatch on the stress singularity coefficients is evaluated and discussed for the case of remote uniform load.
文摘Interaction between multiple curved rigid line and circular inclusion in antiplane loading condition was considered. Two kinds of elementary solutions corresponding to a concentrated force applying at inclusion and matrix material respectively were presented. Utilizing the elementary solutions and taking density function of traction difference along curved rigid line, a group of weakly singular integral equations with log kernels can be obtained. After the numerical solution of the integral equations, the discrete values of density functions of traction difference are obtainable. So stress singularity coefficients at rigid line tips can be calculated, and several numerical examples are given.
基金National Natural Science Foundation of China(No.59879012)the project of Chinese Foundation of State Education Commission(No.98024832)
文摘The weakly singular integral equation sued to solve the problem ofthe curved crack crossing the boundary of the antiplane circularinclusion is presented. Using the principal part analysis method ofthe Cauchy type integral equation, the singular stress index at theintersection and the singular stress of angular Regions near theintersection are obtained. By using the singular stress obtained, thestress intensity factor at The intersection is defined. After thenumerical solution of the integral equation, the stress intensityfactors at The end points of the crack and intersection areobtainable.
文摘Antiplane multiple curved crack problem in circular inclusion and matrix material is considered. In order to solve the proposed problem, two kinds of elementary solutions corresponding to a point screw dislocation in inclusion and matrix material respectively are presented. Utilizing the elementary solutions and taking the density of dislocation along cracks surfaces as unknown functions, by the principle of superposition, a group of weakly singular integral equations with log kernels can be obtained. After the numerical solution of the integral equations, the discrete values of dislocation density are obtainable. So stress intensity factors at the cracks tips can be calculated, and several numerical examples are given.
文摘The interaction between multiple curved rigid line and circular inclusion in antiplane loading condition is considered in this paper. By utilizing the point force elementary solutions and taking density function of traction difference along curved rigid lines, a group of weakly singular integral equations with logarithmic kernels can be obtained. After the numerical solution of the integral equations, the discrete values of density functions of traction difference are obtainable. So the stress singularity coefficient at rigid line tips can be calculated, and two numerical examples are given.
