We show how to derive (variants of) Michell truss theory in two and three dimensions rigorously as the vanishing weight limit of optimal design problems in linear elasticity in the sense of Γ-convergence. We improve our results from [Olb17] in that our treatment here includes the three dimensional case and that we allow for more general boundary conditions and applied forces.

中文翻译：

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米歇尔桁架类型理论作为线性弹性优化设计的 Γ 极限

我们展示了如何在 Γ-收敛的意义上严格推导出 Michell 桁架理论（的变体）作为线性弹性中最优设计问题的消失重量限制。我们改进了 [Olb17] 的结果，因为我们在这里的处理包括三维情况，并且我们允许更一般的边界条件和施加的力。