In this paper, a nonlocal theory of fracture for brittle materials has beenproposed. It contains the nonlocal elastic stress fields of mode-I, II, III Griffith cracks, the asymptotic forms of the stress fields at the neighborhood of the crack tips, and the maximum tensile stress criterion of brittle fracture.

New Points of View on the Nonlocal Field Theory and Their Applications to the Fracture Mechanics(Ⅲ)——Re_Discuss the Linear Theory of Nonlocal Elasticity

The reported research on carbon nanotubes(CNTs) is introduced, and then statics, buckling and dynamics of CNTs are studied on the basis of micropolar and nonlocal elasticity appropriate to microscopic mechanics,respectively.

In this paper, it is proven that the balance equation of energy is the first integral of the balance equation of momentum in the linear theory of nonlocal elasticity. In other words, the balance equation of energy is not an independent one. It is also proven that the residual of nonlocal body force identically equals zero.

New Points of View on the Nonlocal Field Theory and Their Applications to the Fracture Mechanics(Ⅲ)——Re_Discuss the Linear Theory of Nonlocal Elasticity

The reported research on carbon nanotubes(CNTs) is introduced, and then statics, buckling and dynamics of CNTs are studied on the basis of micropolar and nonlocal elasticity appropriate to microscopic mechanics,respectively.

In this paper, it is proven that the balance equation of energy is the first integral of the balance equation of momentum in the linear theory of nonlocal elasticity. In other words, the balance equation of energy is not an independent one. It is also proven that the residual of nonlocal body force identically equals zero.

In the linear nonlocal elasticity theory, the solution to the boundary-value problem of the crack with a constant stress boundary condition does not exist.

The contents studied contain of examining objectivity of the energy balance, deducing the constitutive equations of nonlocal thermoelastic bodies, and determining nonlocal force and the linear nonlocal elasticity theory.

In this paper, it is proven that the balance equation of energy is the first integral of the balance equation of momentum in the linear theory of nonlocal elasticity.

When time approaches infinite, the strain of bar is equal to the one of nonlocal elasticity.

The image force on a dislocation near an elliptic hole in nonlocal elasticity

In the linear nonlocal elasticity theory, the solution to the boundary-value problem of the crack with a constant stress boundary condition does not exist.

The contents studied contain of examining objectivity of the energy balance, deducing the constitutive equations of nonlocal thermoelastic bodies, and determining nonlocal force and the linear nonlocal elasticity theory.

In this paper, it is proven that the balance equation of energy is the first integral of the balance equation of momentum in the linear theory of nonlocal elasticity.

When time approaches infinite, the strain of bar is equal to the one of nonlocal elasticity.

The image force on a dislocation near an elliptic hole in nonlocal elasticity

Field equations of the non-local elasticity are solved to determine the state of stress in a plate with a Griffith crack subject to uniform tension.

The analysis of crack problems with non-local elasticity

In this paper, the displacement discontinuity fundamental solutions (DDFS) corresponding to the unit concentrated displacement discontinuity for plane problems of non-local elasticity are obtained.

Based on the displacement discontinuity boundary integral equation (DDBIE) and boundary element method (BEM), a method of analysis of crack problems in non-local elasticity with generalized purpose is proposed.

The method of analysis of crack problem in three-dimensional non-local elasticity

In this paper, a nonlocal theory of fracture for brittle materials has beenproposed. It contains the nonlocal elastic stress fields of mode-I, II, III Griffith cracks, the asymptotic forms of the stress fields at the neighborhood of the crack tips, and the maximum tensile stress criterion of brittle fracture. As an application of the theory, the fracture criteria of cracks of mode-I, II, III and mixed mode I-II, I-III are given in detail and compared with some experimental data and the theoretical results of...

In this paper, a nonlocal theory of fracture for brittle materials has beenproposed. It contains the nonlocal elastic stress fields of mode-I, II, III Griffith cracks, the asymptotic forms of the stress fields at the neighborhood of the crack tips, and the maximum tensile stress criterion of brittle fracture. As an application of the theory, the fracture criteria of cracks of mode-I, II, III and mixed mode I-II, I-III are given in detail and compared with some experimental data and the theoretical results of minimum factor of strain energy density.

A three-dimensional problem of disk crack of type I is studied according to the theory of nonlocal elasticity in this paper.The influence function of the axisymmetrical problem is given,and dual integral equations of the problem are derived.An effective method is devised to deal with the nitegral equation of unbounded kernels by changing the unbounded kernel into bounded ones.The nUmerical solution of stress field at the adge of disk crack is presented,it is found that no stress singularity is present at the...

A three-dimensional problem of disk crack of type I is studied according to the theory of nonlocal elasticity in this paper.The influence function of the axisymmetrical problem is given,and dual integral equations of the problem are derived.An effective method is devised to deal with the nitegral equation of unbounded kernels by changing the unbounded kernel into bounded ones.The nUmerical solution of stress field at the adge of disk crack is presented,it is found that no stress singularity is present at the acrck tip.The.;value and distribution of stresses at.the crack tip are also studied in the paper.

In this paper, the linear nonlocal elasticity is modified by considering the influence of nonlocal residual force. A stress boundary condition which contains the effect of the long-distance force of micro structure of matter is given in the modified theory. This result not only answers the problem that the solution of the linear nonlocal elasticity under the