Abstract

Mode I fracture behavior of edge- and centrally-cracked nanobeams is analyzed by employing both stress-driven non-local theory of elasticity and Bernoulli–Euler beam theory. The present formulation implements the size-dependency experimentally observed at material micro- and nano-scale, by assuming a non-local constitutive law, that relates the strain to the stress in each material point of the body, through an integral convolution and a kernel. It is observed that the energy release rate decreases by increasing the nonlocality, showing the superior fracture performance of nanobeams with respect to large-scale beams.

中文翻译：

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基于应力驱动的非局部弹性理论的纳米梁断裂分析

摘要

通过采用应力驱动的非局部弹性理论和伯努利-欧拉梁理论来分析边缘和中心裂纹纳米梁的 I 型断裂行为。本公式实现了在材料微米和纳米尺度上实验观察到的尺寸依赖性，通过假设一个非局部本构定律，该定律通过积分卷积和内核将应变与身体每个材料点的应力联系起来. 观察到能量释放率随着非定域性的增加而降低，表明纳米束相对于大尺寸束具有优异的断裂性能。