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工程力学  2015 

双重网格的动态应力差分法及其应用

DOI: 10.6052/j.issn.1000-4750.2013.07.0678, PP. 104-110

Keywords: 双重网格,差分法,动态模拟,应力波,四边形单元

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Abstract:

针对任意四边形网格模型,提出了双重网格动态应力差分法,结合Green公式,导出了在双重网格下基于应力为基本量的差分公式。然后考虑积分沙漏、静态阻尼的情况,使用VB.NET语言编写了动态应力差分法的底层函数,最后编写了相应的应力有限差分法DMFD程序。利用DMFD程序模拟了有限长岩柱中纵波的传播规律,得到了和理论解十分相符的结果,证明了该算法及DMFD程序的有效性。最后使用DMFD程序模拟了牛头山水电站的现场爆破实验,其结果与现场爆破实验结果相吻合,比UDEC的模拟结果更接近现场测试结果。

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