半无限介质受线性载荷作用的非局部理论解

Nonlocal Theory Solution to Half-infinite Medium Subjected to Line Force

用非局部线弹性理论研究半无限介质承受线性分布载荷作用的问题,并计算出应力场的非局部理论解。结果表明,当考虑微结构的相互作用时,非局部应力的解答在集中力作用处的奇异性不存在;当内部特征尺度趋于零时,应力场的非局部解答即为经典解答。

In this paper, the problem of the half-infinite medium subjected to line force is studied by using nonlocal linear elasticity theory.The nonlocal stresses and nonsocial concentrated force are calculated. Force is not present in nonlocal stresses when the interaction of the microstructures is considered, and the nonlocal stresses revert to the classical solutions as the internal characteristic length tends to zero.