The Eshelby stress tensor, angular momentum tensor and dilatation flux in gradient elasticity
The Eshelby stress tensor, angular momentum tensor and dilatation flux in gradient elasticity
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DOI：
10.1016/j.ijsolstr.2006.07.018
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发表时间：
2007-04
影响因子：
3.6
通讯作者：
M. Lazar;H. Kirchner
中科院分区：
文献类型：
--
作者：
M. Lazar;H. Kirchner
针对非均质材料中的各向异性线性梯度弹性导出了 Eshelby（静态能量动量）应力张量、角动量张量和膨胀通量。这些张量的散度给出了梯度弹性中的构型力、力矩和功项。有几种类型的构型力，作用于位错密度及其梯度、作用于与畸变成比例的不均匀性、畸变梯度的线性和二次以及体力。
The Eshelby (static energy momentum) stress tensor, the angular momentum tensor and the dilatation flux are derived for anisotropic linear gradient elasticity in non-homogeneous materials. The divergence of these tensors gives the configurational forces, moments and work terms in gradient elasticity. There are several types of configurational forces, acting on the dislocation density and its gradient, on the inhomogeneities, proportional to the distortion, and linear and quadratic in the distortion gradient, and on the body force.