In this paper, we derive analytical time-dependent Green's functions in a two-dimensional, anisotropic elastic, and infinite solid. It is based on the Stroh formalism combined with application of the Cauchy's residue theorem. Final expressions of the Green's function are in terms of simple finite line integral from 0 to 2π. The time-dependence of the line forces can be impulsive, Heaviside, or within a given time duration. The space-dependence of the line force is very general, including concentrated or uniformly distributed sources within a given line interval. Green's functions of both displacements and stresses are derived in analytical forms, and are verified against existing results. Numerical examples are presented to demonstrate the effect of source types and material anisotropy on the Green's functions.

在本文中，我们在二维各向异性弹性无限固体中推导了与时间相关的格林函数。它基于Stroh形式主义和柯西残差定理的应用。Green函数的最终表达式是从0到2π的简单有限线积分。线力的时间依赖性可以是冲动的，沉重的或在给定的持续时间内。线力的空间依赖性非常笼统，包括在给定线间隔内集中或均匀分布的源。格林的位移和应力函数均以分析形式导出，并针对现有结果进行了验证。数值例子表明了源类型和材料各向异性对格林函数的影响。