通过悬臂梁刚度正确确定裂纹长度的解析解
An analytical solution for the correct determination of crack lengths via cantilever stiffness
摘要：
基于经典梁理论，用虚拟旋转弹簧单元代替裂纹，给出了悬臂梁型断裂试样刚度与裂纹长度关系的解析解。由此产生的紧凑的关系允许会计的实际梁的几何形状，并同意与伴随的有限元模拟非常好。与文献中唯一的其他模型相比，所提出的关系将模型与数据之间的偏差从以前的最小值15%降低到最大值1.6%.因此，新的解决方案将有助于减少个人模拟的必要性，并旨在增加未来的弹塑性微悬臂梁断裂实验的可比性。
英文摘要：
The present work provides an analytic solution for the stiffness to crack length relation in microscopic cantilever shaped fracture specimens based on classical beam theory and substitution of the crack by a virtual rotational spring element. The resulting compact relationship allows for accounting of the actual beamgeometry and agrees very well with accompanying finite element simulations. Compared with the only other model present in literature the proposed relationship reduces the deviation between model and data to a maximum of 1.6% fromthe previous minimumof 15%. Thus, the novel solution will help to reduce the necessity for individual simulations and aim to increase the comparability of elastic-plastic microcantilever fracture experiments in the future.
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