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Can Damage Mechanics Explain Temporal Scaling Laws in Brittle Fracture and Seismicity?

机译:损伤力学可以解释脆性断裂和地震的时间尺度定律吗?

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Time delays associated with processes leading to a failure or stress relaxation in materials and earthquakes are studied in terms of continuum damage mechanics. Damage mechanics is a quasi-empirical approach that describes inelastic irreversible phenomena in the deformation of solids. When a rock sample is loaded, there is generally a time delay before the rock fails. This period is characterized by the occurrence and coalescence of microcracks which radiate acoustic signals of broad amplitudes. These acoustic emission events have been shown to exhibit power-law scaling as they increase in intensity prior to a rupture. In case of seismogenic processes in the Earth's brittle crust, all earthquakes are followed by an aftershock sequence. A universal feature of aftershocks is that their rate decays in time according to the modified Omori's law, a power-law decay. In this paper a model of continuum damage mechanics in which damage (microcracking) starts to develop when the applied stress exceeds a prescribed yield stress (a material parameter) is introduced to explain both laboratory experiments and systematic temporal variations in seismicity.
机译:从连续破坏机理的角度研究了与导致材料或地震中的失效或应力松弛的过程相关的时间延迟。损伤力学是一种准经验方法,用于描述固体变形中的非弹性不可逆现象。装载岩石样品时,通常会在岩石破裂之前有一段时间的延迟。这个时期的特征是微裂纹的出现和合并,这些微裂纹会辐射出宽振幅的声信号。这些声发射事件已显示出幂律定标,因为它们在破裂前强度增加。如果在地球脆性地壳中发生地震,所有地震之后都会发生余震序列。余震的一个普遍特征是,它们的速率会根据修改的大森定律随时间衰减,即幂律衰减。本文介绍了一种连续破坏力学模型,其中当施加的应力超过规定的屈服应力(材料参数)时,破坏(微裂纹)开始发展,以解释实验室实验和地震活动性的系统性时变。

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