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Stress-constrained continuum topology optimization: a new approach based on elasto-plasticity

机译:应力约束的连续体拓扑优化:基于新方法   关于弹塑性

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摘要

A new approach for generating stress-constrained topological designs incontinua is presented. The main novelty is in the use of elasto-plasticmodeling and in optimizing the design such that it will exhibit alinear-elastic response. This is achieved by imposing a single globalconstraint on the total sum of equivalent plastic strains, providing accuratecontrol over all local stress violations. The single constraint essentiallyreplaces a large number of local stress constraints or an approximateaggregation of them--two common approaches in the literature. A classicalrate-independent plasticity model is utilized, for which analytical adjointsensitivity analysis is derived and verified. Several examples demonstrate thecapability of the computational procedure to generate designs that challengeresults from the literature, in terms of the obtained stiffness-strength-weighttrade-offs. A full elasto-plastic analysis of the optimized designs shows thatprior to the initial yielding, these designs can sustain significantly higherloads than minimum compliance topological layouts, with only a minor compromiseon stiffness.
机译:提出了一种生成应力约束拓扑设计连续体的新方法。主要的新颖之处在于使用了弹塑性模型并优化了设计,使其表现出线性弹性响应。这是通过在等效塑性应变的总和上施加单个全局约束来实现的,从而可以精确控制所有违反局部应力的行为。单一约束实质上替代了大量局部应力约束或它们的近似集合-这是文献中的两种常见方法。利用一个与速率无关的经典可塑性模型,针对该模型导出并验证了分析伴随灵敏度分析。几个例子证明了计算程序能够根据获得的刚度-强度-权衡折衷来生成对文献结果提出质疑的设计。对优化设计的完整弹塑性分析表明,在初始屈服之前,这些设计可以承受比最小顺应性拓扑布局高得多的载荷,而对刚度的折衷也很小。

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    Amir, Oded;

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  • 年度 2016
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