An investigation into the material stiffness design for enhancing the uniformity of the contact stress is conducted in this paper. A bidirectional evolutionary optimization design approach for interface material stiffness is developed, in which the standard deviation of the contact stress is defined as the objective function and the Young's modulus is treated as the design variable. A design case of a single bolted joint verifies that the proposed bidirectional material stiffness optimization approach can effectively improve the uniformity of the contact stress. A region-averaging treatment is proposed as the post-processing of the optimized Young's modulus distribution to make the optimized structure more manufacturable. The capabilities for homogenizing the contact stress distribution with various geometry sizes are addressed. A comparison study with the interface shape optimization indicates that with nearly the same improvement of the standard deviation of the contact stress, the material stiffness design around the contact region is more effective on enlarging the effective contact area and is much more computationally efficient than the interface shape optimization.

本文对用于提高接触应力均匀性的材料刚度设计进行了研究。提出了一种界面材料刚度的双向演化优化设计方法，其中将接触应力的标准偏差定义为目标函数，将杨氏模量视为设计变量。单螺栓连接的设计案例验证了所提出的双向材料刚度优化方法可以有效地提高接触应力的均匀性。提出了区域平均处理作为优化杨氏模量分布的后处理，以使优化结构更易于制造。解决了用于使各种几何尺寸的接触应力分布均匀化的功能。与界面形状优化的比较研究表明，与接触应力标准偏差的改善几乎相同，接触区域周围的材料刚度设计在扩大有效接触面积方面比界面更有效，并且计算效率比界面高得多。形状优化。