Under the condition that all the perfectly plastic stress components at a crack tip are the functions of ? only, making use of equilibrium equations and Von-Mises yield condition containing Poisson ratio, in this pape...Under the condition that all the perfectly plastic stress components at a crack tip are the functions of ? only, making use of equilibrium equations and Von-Mises yield condition containing Poisson ratio, in this paper, we derive the generally analytical expressions of perfectly plastic stress field at a stationary plane-strain crack tip. Applying these generally analytical expressions to the concrete cracks, the analytical expressions of perfectly plastic stress fields at the stationary tips of Mode I, Mode II and Mixed-Mode I-II plane-strain cracks are obtained. These analytical expressions contain Poisson ratio.展开更多
Plane-strain forming limit strain (also known as FLD0) is an important data point on a forming limit diagram (FLD). The effects of friction coefficients and material parameters on the specimen width associated wit...Plane-strain forming limit strain (also known as FLD0) is an important data point on a forming limit diagram (FLD). The effects of friction coefficients and material parameters on the specimen width associated with the FLDo (W FLD0) in Marciniak test were studied by finite element simulation. WFLD0 was expressed as a function of the Lankford coefficients, n-value, k-value and sheet thickness and validated with various sheet materials. The determination of W FLD0 is of significance not only to reduce iterative attempts to accurately obtain FLDo, but also to obtain a full valid FLD with the least number of test specimens, which largely increases the efficiency and reduces cost to experimentally measure valid FLDs.展开更多
通过平面应变压缩试验获得2219铝合金在变形温度320~480℃、应变速率0.1~10 s^(-1)、最大真应变1.2条件下的压缩变形行为;基于试验得到的真应力-真应变数据和Arrhenius双曲正弦模型,分别建立峰值应力本构方程和应变补偿本构方程,获得合...通过平面应变压缩试验获得2219铝合金在变形温度320~480℃、应变速率0.1~10 s^(-1)、最大真应变1.2条件下的压缩变形行为;基于试验得到的真应力-真应变数据和Arrhenius双曲正弦模型,分别建立峰值应力本构方程和应变补偿本构方程,获得合金的热变形激活能和应力指数,分析合金的变形机制。结果表明:在平面应变压缩过程中,合金的流变应力先迅速升高,达到峰值应力后稍有下降,最后趋于稳定;流变应力随变形温度的升高或应变速率的降低而降低。峰值应力本构方程预测的真应力与试验值的最大相对误差为4.57%;应变补偿的本构方程预测得到的真应力与试验值的平均绝对相对误差为2.62%,线性相关系数为0.9953。建立的本构方程都能够准确预测2219铝合金在平面应变压缩变形过程中的流变应力。在整个变形过程中热变形激活能范围为135.138~145.410 k J·mol^(-1),应力指数范围为5.920~6.930,表明变形时合金主要的扩散机制为晶格扩散,主要的变形机制为位错攀移。展开更多
文摘Under the condition that all the perfectly plastic stress components at a crack tip are the functions of ? only, making use of equilibrium equations and Von-Mises yield condition containing Poisson ratio, in this paper, we derive the generally analytical expressions of perfectly plastic stress field at a stationary plane-strain crack tip. Applying these generally analytical expressions to the concrete cracks, the analytical expressions of perfectly plastic stress fields at the stationary tips of Mode I, Mode II and Mixed-Mode I-II plane-strain cracks are obtained. These analytical expressions contain Poisson ratio.
文摘Plane-strain forming limit strain (also known as FLD0) is an important data point on a forming limit diagram (FLD). The effects of friction coefficients and material parameters on the specimen width associated with the FLDo (W FLD0) in Marciniak test were studied by finite element simulation. WFLD0 was expressed as a function of the Lankford coefficients, n-value, k-value and sheet thickness and validated with various sheet materials. The determination of W FLD0 is of significance not only to reduce iterative attempts to accurately obtain FLDo, but also to obtain a full valid FLD with the least number of test specimens, which largely increases the efficiency and reduces cost to experimentally measure valid FLDs.
文摘通过平面应变压缩试验获得2219铝合金在变形温度320~480℃、应变速率0.1~10 s^(-1)、最大真应变1.2条件下的压缩变形行为;基于试验得到的真应力-真应变数据和Arrhenius双曲正弦模型,分别建立峰值应力本构方程和应变补偿本构方程,获得合金的热变形激活能和应力指数,分析合金的变形机制。结果表明:在平面应变压缩过程中,合金的流变应力先迅速升高,达到峰值应力后稍有下降,最后趋于稳定;流变应力随变形温度的升高或应变速率的降低而降低。峰值应力本构方程预测的真应力与试验值的最大相对误差为4.57%;应变补偿的本构方程预测得到的真应力与试验值的平均绝对相对误差为2.62%,线性相关系数为0.9953。建立的本构方程都能够准确预测2219铝合金在平面应变压缩变形过程中的流变应力。在整个变形过程中热变形激活能范围为135.138~145.410 k J·mol^(-1),应力指数范围为5.920~6.930,表明变形时合金主要的扩散机制为晶格扩散,主要的变形机制为位错攀移。