Analytical Consideration of Constitutive Equation of Variable Compliance Type.
Analytical Consideration of Constitutive Equation of Variable Compliance Type.
复制标题
变柔顺型本构方程的解析考虑。
DOI：
10.2473/shigentosozai.108.601
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
S. Okubo
中科院分区：
文献类型：
--
作者：
S. Okubo
早期的工作者提出了一些着重于岩石的时间依赖性的本构方程。然而，它们中的大多数可以应用于限制加载条件，即，本构方程可以应用于仅蠕变或仅恒定应变速率试验。而且，其中很少有可以通过分析来解决的。这也是为什么不同加载条件下的时间相关性或流变现象之间的关系仍有待讨论的原因之一。本文讨论了作者提出的一个非常简单的变柔型本构方程。该本构方程可以在蠕变、松弛、恒应变率、恒应力率等多种加载条件下解析求解，并可以考察这些加载条件下的时间相关性。众所周知，在恒应变率下，强度随加载速率增加而增加。此外，已知蠕变寿命随着蠕变应力的增加而减少。通过对所提出的本构方程的解析解，表明这两种现象是密切相关的，蠕变寿命可以由恒应变率试验结果来估算。讨论了恒应变速率试验和恒应力速率试验的强度、蠕变试验和松弛试验的寿命、蠕变应变与应力-应变曲线宽度的关系等。
Some constitutive equations focusing on time-dependent behaviour of rock have been proposed by early workers. However, most of them can be applied to restricted loading condition, that is, a constitutive equation can be applied to only creep or only constant strain rate test. Moreover, few of them can be solved analytically. This is one of the reasons why the relation of time-dependent behaviour or rheological phenomena between different loading conditions still remains open to discussion.In this study, a very simple constitutive equation of variable compliance type is discussed, which has been proposed by the author. The constitutive equation can be solved analytically for several loading conditions such as creep, relaxation, constant strain rate, constant stress rate and allows to examine the relations of time-dependent behaviour among these loading conditions.It is well known that strength increase with loading rate in constant strain rate. Also, it is known that life time in creep decreases with increase of creep stress. By means of analytical solution of the proposed constitutive equation, it is shown that these two phenomena are closely related and life time in creep can be estimated by the result of constant strain rate test. Also, strength obtained by constant strain rate test and constant stress rate, life time of creep test and relaxation test, relation between creep strain and width of stress-strain curve, etc are discussed.