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Optimization of composite structures subject to local stress constraints

机译：受局部应力约束的复合结构优化

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摘要

An extension of current methodologies is introduced for optimization of graded microstructure subject to local stress criteria. The method is based on new multiscale stress criteria given by macrostress modulation functions. The modulation functions quantify the intensity of local stress fluctuations at the scale of the microstructure due to the imposed macroscopic stress. The methodology is illustrated for long cylindrical shafts reinforced with stiff cylindrical elastic fibers with generators parallel to the shaft. Examples are presented for shaft cross sections that possess reentrant corners typically seen in lap joints and junctions of struts. It is shown that the computational methodology delivers graded fiber microgeometries that provide overall structural rigidity while at the same time tempering the influence of stress concentrations near reentrant corners.
机译：引入了当前方法的扩展，以根据局部应力标准优化分级组织。该方法基于宏应力调制函数给出的新的多尺度应力准则。调制功能可以量化由于施加的宏观应力而在微观结构尺度上引起的局部应力波动的强度。图示了长圆柱轴的方法，长轴用刚性圆柱状弹性纤维增强，发电机平行于轴。给出了具有通常在搭接接头和支柱连接处见到的凹角的轴截面的示例。结果表明，该计算方法可提供渐变的纤维微观几何形状，这些几何形状可提供整体结构刚度，同时缓和凹角附近应力集中的影响。

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