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摘要: 为了反映软岩蠕变全过程，进行红层泥岩蠕变力学试验，试验发现弹性模量随时间的增长而逐渐衰减，黏滞系数在应力恒定且并未达到屈服应力的情况下，随时间的增长而逐渐增大。因此认为传统理论流变力学中的蠕变损伤处理方法不适用于将黏滞系数进行损伤演化，故引入分数阶微积分来描述软岩蠕变的黏弹性和黏塑性应变。通过构建一个考虑蠕变时效损伤的弹性体，并将其与基于分数阶微积分的黏滞和黏塑性体进行串联，从而建立一个新的非线性蠕变损伤模型。依据红层泥岩和相关文献中冻结软岩及红砂岩的蠕变试验数据，通过该软岩蠕变损伤模型对其进行辨识，充分显示出所建模型的合理性和适用性。Abstract: In order to reflect the whole process of soft rock creep, the red mudstone creep experiment is carried out. The experimental results show that the elastic modulus gradually decreases with the increasing time and the viscosity coefficient gradually increases with the increasing time under the constant stress before yield. Therefore, this paper argues that the processing method of creep damage in the traditional theoretical rheology is not applicable to the damage evolution of the viscous coefficient, and the fractional calculus is used to describe the viscoelastic and viscoplastic strain of soft rock creep. By constructing an elastic body based on time-dependent damage, which is in series with a viscous body and a viscoplastic body based on fractional calculus, a new nonlinear creep damage model is established. The creep test data of red mudstone, frozen soft rock and red sandstone are identified with the creep damage model of soft rock, and the rationality and applicability of the proposed model is shown.
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Key words:
- creep /
- elastic modulus /
- viscosity coefficient /
- creep damage model /
- fractional calculus
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