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The size-dependent elastic state of inclusions in non-local elastic solids

机译:非局部弹性固体中夹杂物的尺寸依赖性弹性状态

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摘要

The elastic stress state of inclusions containing eigenstrains located in an infinite non-local media are discussed. Closed-form expressions are provided for the specific cases of spherical and cylindrical inclusions. The results indicate that non-locality reduces the stress jump across the inclusion interface when compared with the classical case (i.e. reduction in the so-called stress concentration). We also prove, using asymptotic analysis, the disappearance of stress singularities for polyhedral inclusions in non-local elastic solids. The obtained results are size dependent and asymptotically approach the classical size-independent solution for a 'large' inclusion size.
机译:讨论了包含无限大非局部介质中本征应变的夹杂物的弹性应力状态。针对球形和圆柱形夹杂物的特定情况提供了封闭形式的表达式。结果表明,与经典情况相比,非局部性减小了跨夹杂物界面的应力跃变(即,所谓的应力集中的减小)。我们还使用渐近分析证明了非局部弹性固体中多面体夹杂物的应力奇异性消失了。所获得的结果与尺寸有关,并且对于“大”夹杂物尺寸,渐近地接近经典的尺寸无关解决方案。

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