Elastoplastic topology optimization of cyclically loaded structures via direct methods for shakedown

• Published in: Structural and multidisciplinary optimization Vol. 64; no. 1; pp. 189 - 217
• Main Authors: Boissier, Mathilde, Deaton, Joshua D., Beran, Philip A., Vermaak, Natasha
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2021; Springer Nature B.V; Springer Verlag
• Subjects: Computational Mathematics and Numerical Analysis; Design; Elastic deformation; Elastic limit; Elastic recovery; Elasticity; Elastoplasticity; Engineering; Engineering Design; Lower bounds; Mathematics; Mechanics; Numerical Analysis; Optimization; Optimization and Control; Partial differential equations; Physics; Plastic deformation; Research Paper; Strain; Theoretical and Applied Mechanics; Topology optimization; Weight reduction; Direct method; Elastoplastic; Shakedown; Level set method; Shape optimization

For the first time, the lower bound shakedown theorem is integrated into a level set–based topology optimization framework to identify lightweight elastoplastic designs. Shakedown is a cyclic elastoplastic behavior in which, upon cycling beyond the elastic limit, the accumulation of plastic strain a...