A Probabilistic Treatment of Creep Rupture Behavior for Polymers and Other Materials
A Probabilistic Treatment of Creep Rupture Behavior for Polymers and Other Materials
复制标题
聚合物和其他材料蠕变断裂行为的概率处理
DOI：
10.1023/b:mtdm.0000027685.91467.98
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发表时间：
2004
影响因子：
2.5
通讯作者：
R. Christensen
中科院分区：
文献类型：
--
作者：
R. Christensen
聚合物蠕变断裂行为的一个最近的确定性推导作为本工作的基础。该公式用于黏弹性材料在恒载荷作用下的寿命预测，基于初始缺陷的动态裂纹扩展。统计泛化涉及使用威布尔型分布的瞬时静态强度。然后得出寿命作为压力水平函数的全统计特征。寿命分布比静强度分布要宽得多。推导过程中出现了一个不寻常的统计特征。当在对数应力和对数寿命尺度上回顾寿命时，发现各种故障概率水平的包络具有共同的形状，就像在单个主曲线中一样，但它们沿着对数应力轴相对移动。这种转换特性在减少获得完整的统计数据库所需的测试次数方面具有相当大的效用。最后，考虑了疲劳表征的类似含义。
A recent deterministic derivation for the creep rupture behavior ofpolymers is taken as the basis for the present work. The formulation isthat for the prediction of the lifetime of viscoelastic materials underconstant load, based upon kinetic crack growth from initial flaws. Thestatistical generalization involves using a Weibull type distributionfor the instantaneous static strengths. Then the resulting fullstatistical character for the lifetimes as a function of stress level isfound. The lifetime distributions are determined to be much broader thanare the static strength distributions. An unusual statisticalcharacteristic emerges from the derivation. When the lifetimes areviewed on log stress versus log lifetime scales the envelopes for thevarious probability levels of failure are found to have a common shape,as in a single master curve, but they are shifted relative to each otheralong the log stress axis. This shifting property could haveconsiderable utility in reducing the number of tests required to obtaina complete, statistical database. Finally, similar implications forfatigue characterization are considered.