岩样失稳回跳与直剪试验机-岩样系统失稳回跳关系研究

ANALYSIS ON RELATION BETWEEN SNAP-BACK OF SPECIMEN AND SNAP-BACK OF SYSTEM COMPOSED OF DIRECT SHEAR TESTING MACHINE AND SPECIMEN

研究了岩样及直剪试验机-岩样系统的弹性回跳不稳定性。将试验机简化为具有一定高度和剪切模量的钢块,利用梯度塑性理论得到了直剪试验机-岩样系统的剪应力-剪应变的理论关系。当不考虑钢块的高度时,这一关系便蜕化为岩样的剪应力-平均剪应变的理论关系。如果试验机-岩样系统回跳,那么岩样可能失稳回跳,也可能不失稳回跳;当钢块高度及剪切模量比值越大,试验机-岩样系统越容易发生失稳回跳。当这一比值较大时,纵然岩样不回跳,系统也会回跳;当这一比值较小时,只有当岩样回跳,系统才会回跳;当系统不回跳时,试样必不回跳。试样回跳,必然导致系统回跳;如果试样不回跳,则系统可能回跳,也可能不回跳。理论结果可解释若干常见的实验现象。

Snap-back instability of rock specimen and testing machinespecimen system are investigated. The direct shear testing machine is simplified as a steel block with certain length and elastic shear modulus. Based on gradient-dependent plasticity,the localized shear band is initiated at peak shear stress and a closed-form analytical solution on shear stress-shear strain curve in strain-softening stage is proposed. If the length of block is zero,the simplified solution can be applied to rock specimen subjected to direct shear. If snap-back of the system occurs, the structural response of the specimen is uncertain (namely,both snap-back and snap-through are possible). When the ratio of length-to-shear elastic modulus increases,the system can lose its stability easily. For the larger ratio, though snap-back of the specimen does not occur,the system will be unstable certainly. But,for the lower ratio, only if the specimen exhibits snap-back,snap-back of the system is possible. Besides,the snap-back of a specimen must lead to snap-back instability of the system. If snap-back is impossible for the specimen,both snap-back instability and snap-through are possible for the system. Some experimental results on rock failure are explained based on the presented theoretical analysis,though the experimental results seem difficult in understanding.