Topology Optimization of Structures Accounting for Damage Uncertainties

本研究的目的是介绍一种新的设计范式，在结构工程，采用拓扑优化生成最佳的结构，是抵抗多种形式的损坏，从而导致强大的设计。以前的拓扑优化研究一般忽略了损伤的主题，并假设纯弹性行为，从而限制了这种技术的适用性相对狭窄的一类工程材料和结构。这一目标将通过以下方式实现：（i）创建一个新的计算框架，该框架同时结合拓扑优化和连续损伤力学，考虑各种材料损伤模型，如脆性损伤、蠕变损伤和冲击载荷损伤;（ii）将这些算法应用于现有的结构设计问题，以揭示传统设计中看不到的新设计概念;以及（iii）为学生和博士后研究员开发一个专注于损伤建模和结构优化的教育计划。这项研究将拓扑优化的适用范围扩展到广泛的学科，从而使结构更坚固，更不易因材料损伤而失效。教育活动和研究的传播将通过产生对工程设计的兴趣和促进下一代工程师的创造力和创新来影响工程界。

The objective of this research is to introduce a new design paradigm in structural engineering that employs topology optimization for generating optimal structures that are resistant to multiple forms of damage and thus lead to robust designs. Previous topology optimization research has generally ignored the topic of damage, and assumed purely elastic behavior, thereby limiting the applicability of this technique to a relatively narrow class of engineering materials and structures. This objective will be achieved through (i) creation of a novel computational framework that simultaneously combines topology optimization and continuum damage mechanics, considering a wide range of material damage models such as brittle damage, creep damage and damage due to impact loading, (ii) application of these algorithms to existing structural design problems to uncover novel design concepts not seen in conventional designs, and (iii) development of an educational program for students and postdoctoral fellows focused on damage modeling and structural optimization.This research will expand the range of applicability of topology optimization to a wide range of disciplines, leading to more robust structures that are less susceptible to failure due to material damage. Educational activities and dissemination of the research will impact the engineering community by generating interest in engineering design and promoting creativity and innovation in the next generation of engineers.