This paper contains an asymptotic.finite-deformation analysis about theelastostatic field near the,crack-tip in an incompress rubber-like material. The eracktip .field is divided into two narrowing sectors and one exp...This paper contains an asymptotic.finite-deformation analysis about theelastostatic field near the,crack-tip in an incompress rubber-like material. The eracktip .field is divided into two narrowing sectors and one expanding seclor. By the newstyain energy funcion and deformation pattern,we derive and solve the asymptoticequations .for each sector of the tip.field. The singularity of the crack-tip field isdiscussed. The curves of stress-strain of foe crack-tip .field.for an incompress rubber- like material are given and the dominant behaviors of stress and strain near the,cracktip are revealed.展开更多
In this paper, on the basis of the incremental Reissner variational principle.a nonlinear finite element analysis has been accomplished and a formulation of hybrid stress element has been presented for incompressible ...In this paper, on the basis of the incremental Reissner variational principle.a nonlinear finite element analysis has been accomplished and a formulation of hybrid stress element has been presented for incompressible Mooney rubber-like materials. The corrected terms of the non-equilibrium force and the incompressibility deviation are considered in the formulation. The computed values of numerical example agree very closely with the exact solution.展开更多
Using Gao’s constitutive relation, the stress fieid has been analyzed near the notch tip and the crack tip of an incompressible rubber-like specimen under the condition of plane strain. The asymptotic equation of the...Using Gao’s constitutive relation, the stress fieid has been analyzed near the notch tip and the crack tip of an incompressible rubber-like specimen under the condition of plane strain. The asymptotic equation of the notch tip field is solved numerically; the stress and strain singularities are calculated for various notch angles and different material constant values; the stress variation with the angle coordinate is also analyzed.展开更多
This paper presents the characteristics of the crack growth at the interface of rubber-rubber and rubber-steel bimaterials undertensile deformation using the non-linear finite element method. By using the commercial f...This paper presents the characteristics of the crack growth at the interface of rubber-rubber and rubber-steel bimaterials undertensile deformation using the non-linear finite element method. By using the commercial finite element software ABAQUS,the J integral calculations are carried out for the initial interface crack in the interfaces in-between two Neo-Hookean materials,two Mooney-Rivlin materials, Neo-Hookean and Mooney-Rivlin rubbers, Neo-Hookean and Polynomial, Mooney-Rivlin andPolynomial, and the Mooney-Rivlin and steel bi-materials. The computational results of the maximum J integral directionaround the crack tip illustrate the possible direction of crack growth initiation. Furthermore, it is found that the crack bends tothe softer rubber material at a certain angle with the initial crack direction if the crack depth is relatively small. For the crackwith a larger depth, the crack propagates to grow along the interface in-between the bimaterials.展开更多
A molecular network constitutive model is proposed in this study.Based on the concept of molecular network decomposition,the molecular network was decomposed into a James-Guth 3-chain network model and an Arruda-Boyce...A molecular network constitutive model is proposed in this study.Based on the concept of molecular network decomposition,the molecular network was decomposed into a James-Guth 3-chain network model and an Arruda-Boyce 8-chain network model.Considering that the single molecular chain of rubber is constrained by the surrounding molecular networks, the 3-chain model and the 8-chain model were consequently modified using the tube theory.The proposed model contains four material parameters that were determined by fitting the uniaxial tensile test data from rubber-like materials,and the values of these parameters were utilized to determine the pure shear and the biaxial extension.The proposed model agrees well with the experimental data and can predict the test results of experiments performed under the conditions of pure shear and equi-biaxial deformation with acceptable accuracy.展开更多
文摘This paper contains an asymptotic.finite-deformation analysis about theelastostatic field near the,crack-tip in an incompress rubber-like material. The eracktip .field is divided into two narrowing sectors and one expanding seclor. By the newstyain energy funcion and deformation pattern,we derive and solve the asymptoticequations .for each sector of the tip.field. The singularity of the crack-tip field isdiscussed. The curves of stress-strain of foe crack-tip .field.for an incompress rubber- like material are given and the dominant behaviors of stress and strain near the,cracktip are revealed.
文摘In this paper, on the basis of the incremental Reissner variational principle.a nonlinear finite element analysis has been accomplished and a formulation of hybrid stress element has been presented for incompressible Mooney rubber-like materials. The corrected terms of the non-equilibrium force and the incompressibility deviation are considered in the formulation. The computed values of numerical example agree very closely with the exact solution.
基金the Doctoral Training Foundation of the Education Committee of China
文摘Using Gao’s constitutive relation, the stress fieid has been analyzed near the notch tip and the crack tip of an incompressible rubber-like specimen under the condition of plane strain. The asymptotic equation of the notch tip field is solved numerically; the stress and strain singularities are calculated for various notch angles and different material constant values; the stress variation with the angle coordinate is also analyzed.
基金supported by the Hong Kong Polytechnic University (Grant No. G-YH32)
文摘This paper presents the characteristics of the crack growth at the interface of rubber-rubber and rubber-steel bimaterials undertensile deformation using the non-linear finite element method. By using the commercial finite element software ABAQUS,the J integral calculations are carried out for the initial interface crack in the interfaces in-between two Neo-Hookean materials,two Mooney-Rivlin materials, Neo-Hookean and Mooney-Rivlin rubbers, Neo-Hookean and Polynomial, Mooney-Rivlin andPolynomial, and the Mooney-Rivlin and steel bi-materials. The computational results of the maximum J integral directionaround the crack tip illustrate the possible direction of crack growth initiation. Furthermore, it is found that the crack bends tothe softer rubber material at a certain angle with the initial crack direction if the crack depth is relatively small. For the crackwith a larger depth, the crack propagates to grow along the interface in-between the bimaterials.
基金National Natural Science Foundation of China under Grant No. 11372074.
文摘A molecular network constitutive model is proposed in this study.Based on the concept of molecular network decomposition,the molecular network was decomposed into a James-Guth 3-chain network model and an Arruda-Boyce 8-chain network model.Considering that the single molecular chain of rubber is constrained by the surrounding molecular networks, the 3-chain model and the 8-chain model were consequently modified using the tube theory.The proposed model contains four material parameters that were determined by fitting the uniaxial tensile test data from rubber-like materials,and the values of these parameters were utilized to determine the pure shear and the biaxial extension.The proposed model agrees well with the experimental data and can predict the test results of experiments performed under the conditions of pure shear and equi-biaxial deformation with acceptable accuracy.
