非局部弹性体中的反平面线力问题
ANTIPLANE LINE FORCE IN NONLOCAL ELASTICITY
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摘要: 本文把经典弹性体中的线力问题推广到非局部弹性体中,得到非局部介质中反平面线力和它的应力场的解析表达式,应力场无经典的奇异性,非局部线力是高斯型分布不再是经典的δ函数,给出非局部线力满足的推广的线力定义。Abstract: The classical line force problem is generalized to the case of nonlocal elasticity. The analytical expressions of both the antiplane line fprce and its stress field, have been obtained. None of the classical singularities exist in the stresses. Because of the nonlocal effect, the antiplane nonlocal line force has a Gaussian distribution quile different from the distribution of the classical line force and it satisfies the generalized line force definition.