Concurrent Shape and Topology Optimization

Technical Report · 01 September 2021

DOI:https://doi.org/10.2172/1822279· OSTI ID:1822279

Robbins, Joshua ^[1]; Alberdi, Ryan ^[2]; Clark, Brett ^[1]

---

1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
2. Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)

The typical topology optimization workflow uses a design domain that does not change during the optimization process. Consequently, features of the design domain, such as the location of loads and constraints, must be determined in advance and are not optimizable. A method is proposed herein that allows the design domain to be optimized along with the topology. This approach uses topology and shape derivatives to guide nested optimizers to the optimal topology and design domain. The details of the method are discussed, and examples are provided that demonstrate the utility of this approach.

• Research Organization: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• DOE Contract Number: NA0003525
• OSTI ID: 1822279
• Report Number(s): SAND2021-11984; 700142
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
97 MATHEMATICS AND COMPUTING