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Material stiffness optimization for contact stress distribution in frictional elastic contact problems with multiple load cases

机译:多重载荷箱摩擦弹性接触问题接触应力分布的材料刚度优化

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摘要

This paper concerns the heuristic-based material stiffness optimization of frictional linear elastic contact problems for having control over the contact stress distribution, aiming to extend the material stiffness optimization to multiple loading conditions, in which each of the loadings acts solely on the structures. A decrease level of the variance of the contact stress is introduced and a weighted sum of the decrease levels under all load cases is constructed as the objective function. The individual criterion for contact problems with multiple contact regions is addressed. The worst case design is adopted for multiple load cases, and an extreme reference stress, which is the highest stress level of the subdomain under all load cases, is defined to control the Young's modulus modification process in a finite element framework. Through three numerical examples, it is demonstrated how an even distribution of the contact stress can be obtained for contact problems subjected to multiple load cases with single or multiple contact regions. Some new features of the material stiffness optimization with multiple loading conditions are also illustrated.
机译:本文涉及基于启发式的基于摩擦线性弹性接触问题的材料刚度,用于控制接触应力分布,旨在将材料刚度优化延伸到多个负载条件,其中每个负载量仅在结构上起作用。引入接触应力方差的降低程度,并且在所有负载箱下的减小水平的加权之和被构造为目标函数。解决了多个接触区域的接触问题的单个标准。最坏的情况设计是用于多重负载案例,并且是最重要的参考应力,即在所有负载情况下的子域内的最高应力水平,被定义为控制有限元框架中的杨氏模数修改过程。通过三个数值示例,证明了如何在具有单个或多个接触区域的多个载荷盒经受多重载荷盒的接触问题的均匀分布。还示出了具有多重装载条件的材料刚度优化的一些新特征。

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