论文标题
通过悬臂刚度正确确定裂纹长度的分析解决方案
An analytical solution for the correct determination of crack lengths via cantilever stiffness
论文作者
论文摘要
目前的工作为基于经典梁理论和通过虚拟旋转弹簧元件取代裂纹的显微镜悬臂形裂缝标本中的刚度长度关系的刚度提供了分析解决方案。由此产生的紧凑关系允许对实际的束缚测定法进行计算，并与随附的有限元模拟非常吻合。与文献中唯一存在的其他模型相比，提出的关系将模型和数据之间的偏差降低到前面的最小值15％的最大1.6％。因此，新颖的解决方案将有助于减少单个模拟的必要性，并旨在提高未来弹性塑形微型抗体骨折实验的可比性。
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.
