deWit Roland
Institute for Materials Research, National Bureau of Standards, Washington, D.C. 20234.
J Res Natl Bur Stand A Phys Chem. 1973 Sep-Oct;77A(5):607-658. doi: 10.6028/jres.077A.036.
The general theory of disclinations developed earlier is applied to the special case of a straight disclination line. First the geometrical fields are found, such as the defect loop densities which correspond to Mura's new concepts of "plastic distortion" and "plastic rotation," the basic plastic fields (strain and bend-twist), the defect densities (dislocation and disclination), the characteristic vectors (Burgers and Frank), and the incompatibility. Then the static fields are found for the isotropic case, such as the displacement, total distortion, basic elastic fields, and the stress. It is shown that the disclination axis is moved by adding a dislocation to the disclination line. All these special results for the straight disclination line are shown to satisfy the general equations of the theory. As corollaries the following topics are also treated: 1. The finite and infinitesimal straight disclination dipole, which can be biaxial or uniaxial. It resembles the straight dislocation line. 2. The dislocation models of the straight disclination line and of the finite disclination dipole. They are terminating dislocation walls (tilt and twist). 3. The compensated disclination line and the bent dislocation wall. 4. Finally we show analytically a special case of a dislocation ending on a disclination.
先前发展的位错线一般理论被应用于直线位错线的特殊情况。首先求出几何场，例如与村田的“塑性畸变”和“塑性转动”新概念相对应的缺陷环密度、基本塑性场（应变和弯曲扭转）、缺陷密度（位错和位错线）、特征向量（伯格斯向量和弗兰克向量）以及不相容性。然后求出各向同性情况下的静场，例如位移、总畸变、基本弹性场和应力。结果表明，通过在位错线上添加一个位错，位错轴会发生移动。直线位错线的所有这些特殊结果都被证明满足该理论的一般方程。作为推论，还讨论了以下主题：1. 有限和无限小的直线位错偶极子，它可以是双轴的或单轴的。它类似于直线位错线。2. 直线位错线和有限位错偶极子的位错模型。它们是终止位错壁（倾斜和扭转）。3. 补偿位错线和弯曲位错壁。4. 最后，我们通过解析方法展示了一个位错终止在位错线上的特殊情况。
