FINITE STRAIN ISOTHERM AND VELOCITIES FOR SINGLE-CRYSTAL AND POLYCRYSTALLINE NACL AT HIGH-PRESSURES AND 300-DEGREE-K
FINITE STRAIN ISOTHERM AND VELOCITIES FOR SINGLE-CRYSTAL AND POLYCRYSTALLINE NACL AT HIGH-PRESSURES AND 300-DEGREE-K
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DOI：
10.1029/jb083ib03p01257
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发表时间：
1978-01-01
影响因子：
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通讯作者：
BIRCH, F
中科院分区：
文献类型：
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作者：
BIRCH, F
超声波，压力-体积，冲击波测量的NaCl进行审查，与尽可能多的代表在一个单一的理论框架内的目的，大部分的数据是一致的，在合理的不确定性，与欧拉公式的有限应变，在theBE 2的形式。它包含三个参数，其中两个，K 0和K 0 ′，可以从单晶超声测量中获得，而第三个，K 0 ″，可以在冲击波数据的帮助下找到。将Spetzler等人（1972 a）的值与Fritz等人（1971）的等温线结合起来，得到了一个状态方程，该状态方程与300 kbar的压力-体积测量值一致，误差在1或2千巴之内。与低压线性变化的高精度测量仍然存在很小但可能显着的差异。各种双参数等温线也被检查，发现在低或高压缩下失败：虽然其他三参数形式可以拟合数据，但它们不能提供令人满意的波传播一般处理。应用有限应变理论将单晶NaCl的有效弹性系数投影到270 kbar。各向异性指数2B 44（B11-B12）福尔斯从P = 0时的0.7下降到270 kbar时的0.12，并且随着压力的增加，通常的求平均值以找到准各向同性聚集体的性质的方法逐渐偏离。Kröner和Peresada的方法给出了公平的协议与最近的测量速度在NaCl聚集体到270千巴。
Ultrasonic, pressure‐volume, and shock wave measurements of NaCl are reviewed, with the purpose of representing as much as possible within a single theoretical framework, A large portion of the data is consistent, to within reasonable uncertainties, with the Eulerian formulation of finite strain, in theBE2form. This contains three parameters, of which two,K0andK0′, are obtainable from single‐crystal ultrasonic measurements, while the third,K0″, may be found with the aid of shock wave data. The combination of the values of Spetzler et al. (1972a) with the isotherm of Fritz et al. (1971) gives an equation of state consistent with the pressure‐volume measurements to 300 kbar, to within a kilobar or two. There remain small but possibly significant discrepancies with the high‐precision measurements of linear change at low pressures. Various two‐parameter isotherms are also examined and found to fail either at low or at high compressions: While other three‐parameter forms may be fitted to the data, they do not afford a satisfactory general treatment of wave propagation. Finite strain theory is applied to project the effective elastic coefficients of single‐crystal NaCl to 270 kbar. The anisotropy index, 2B44(B11–B12), falls from 0.7 atP= 0 to 0.12 at 270 kbar, and the usual methods of averaging to find the properties of a quasi‐isotropic aggregate diverge increasingly as pressure increases. The methods of Kröner and of Peresada give fair agreement with recent measurements of velocities in NaCl aggregates to 270 kbar.