In this paper, the following conclusions are reached: The influence of damage on the stress and strain feilds can be neglected in an asymptotic sense for the solutions of damage field in a plastic solid containing sma...In this paper, the following conclusions are reached: The influence of damage on the stress and strain feilds can be neglected in an asymptotic sense for the solutions of damage field in a plastic solid containing small damage. The formulation of the problem is simplified with an uncoupled approach. Based on experimental results of plastic damage, most of the damage in the material are con- sidered as small damage with the critacal damage variable ω_c<<1. Using this approach, closed form ex- pressions of the near tip damage fields for mode Ⅲ, mode I and the temperature distribution induced by plastic dissipation in a hardening material containing damage are deduced. We point out that the temperature distribution in the process zone is strongly dependent on the damage of materials even for the small damage case. The results of the predicted value of the temperature rise near the tip region ignoring the damage effect is appreciably higher than the observed data. The main reason of this discrepancy is the presence of damage dissipation and the fact that its influence on the calculation of plas- tic dissipation have not been appropriately taken account of. The calculation is improved by taking in- to account the damage effect on the temperature rise, then the T_(max) value is in better accord with the experimental value.展开更多
In this paper,a simplified brittle damage model is proposed according to the Mazars-Lemaitre damage model for concrete.A closed-form solution for a mode Ⅲ crack is obtained based on the simplified model under small s...In this paper,a simplified brittle damage model is proposed according to the Mazars-Lemaitre damage model for concrete.A closed-form solution for a mode Ⅲ crack is obtained based on the simplified model under small scale damage conditions,which allows for discontinuities of displacement-gradient and tangential stress on the damage boundary.It is pointed out that the discontinuities of field variables near the tip region exist for the brittle damaged material induced by the softening effect of the material.展开更多
This paper deals with an infinite slab with a semi-infinite crack,which is subjected to the anti-plane shear k_Ⅲ field at infinity.The slab is made of an elasto-damaged material.Analytical solution is obtained by use...This paper deals with an infinite slab with a semi-infinite crack,which is subjected to the anti-plane shear k_Ⅲ field at infinity.The slab is made of an elasto-damaged material.Analytical solution is obtained by use of conformal mapping.The shape of damaged-zone,the dissipative energy,the shear open- ing displacement on the crack surface and several stress distribution curves are given.The far field condition is checked,The asymptotic behavior near the crack-tip is given.展开更多
基金The project supported by the National Natural Science Foundation of China.
文摘In this paper, the following conclusions are reached: The influence of damage on the stress and strain feilds can be neglected in an asymptotic sense for the solutions of damage field in a plastic solid containing small damage. The formulation of the problem is simplified with an uncoupled approach. Based on experimental results of plastic damage, most of the damage in the material are con- sidered as small damage with the critacal damage variable ω_c<<1. Using this approach, closed form ex- pressions of the near tip damage fields for mode Ⅲ, mode I and the temperature distribution induced by plastic dissipation in a hardening material containing damage are deduced. We point out that the temperature distribution in the process zone is strongly dependent on the damage of materials even for the small damage case. The results of the predicted value of the temperature rise near the tip region ignoring the damage effect is appreciably higher than the observed data. The main reason of this discrepancy is the presence of damage dissipation and the fact that its influence on the calculation of plas- tic dissipation have not been appropriately taken account of. The calculation is improved by taking in- to account the damage effect on the temperature rise, then the T_(max) value is in better accord with the experimental value.
基金The preoject supported by the National Natural Science Foundation of China.
文摘In this paper,a simplified brittle damage model is proposed according to the Mazars-Lemaitre damage model for concrete.A closed-form solution for a mode Ⅲ crack is obtained based on the simplified model under small scale damage conditions,which allows for discontinuities of displacement-gradient and tangential stress on the damage boundary.It is pointed out that the discontinuities of field variables near the tip region exist for the brittle damaged material induced by the softening effect of the material.
基金The project supported by National Natural Science Foundation of China
文摘This paper deals with an infinite slab with a semi-infinite crack,which is subjected to the anti-plane shear k_Ⅲ field at infinity.The slab is made of an elasto-damaged material.Analytical solution is obtained by use of conformal mapping.The shape of damaged-zone,the dissipative energy,the shear open- ing displacement on the crack surface and several stress distribution curves are given.The far field condition is checked,The asymptotic behavior near the crack-tip is given.
