Stress-based shape and topology optimization with the level set method

By Renato Picelli, S. Townsend, Christopher J. Brampton, Julian A. Norato, Hyunsun Alicia Kim. 2018

209 citations recorded by the source corpus.

Abstract This paper proposes a level set method to solve minimum stress and stress-constrained shape and topology optimization problems. The method solves a sub-optimization problem every iteration to obtain optimal boundary velocities. A p -norm stress functional is used to aggregate stresses in a single constraint. The shape sensitivity function is derived and a computational procedure based on a least squares interpolation approach is devised in order to compute sensitivities at the boundaries. Adaptive constraint scaling is used to enforce exact control of stress limits. Numerical results show that the method is able to solve the problem efficiently for single and multiple load cases obtaining solutions with smooth boundaries.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/2e23707dce22f42e249442c81776b46bfb677902

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Alicia Kim
2. Justin S. Gray
3. H. A. Kim
4. Sandilya Kambampati

In Computational Mechanics

1. Alicia Kim
2. Justin S. Gray
3. H. A. Kim
4. Sandilya Kambampati

In Mechanics of Materials

1. H. A. Kim
2. Sandilya Kambampati

Citations in the corpus

• Level set topology optimization of structures under stress and temperature constraints (2020, background): “The first example is an L-bracket design, which is a classic benchmark problem for stress based topology optimization [25, 26, 27].”