Singh S, Pflug L, Stingl M (2021)
Publication Language: English
Publication Type: Journal article, Editorial
Publication year: 2021
URI: https://www.sciencedirect.com/science/article/pii/S0045782521002188
DOI: 10.1016/j.cma.2021.113881
Advances in the computational modeling of fracture of solids have opened up new possibilities for structural design optimization to enhance fracture properties. Here, we investigate material optimization and design to improve fracture behavior of composite structures under quasi-static conditions. The rate-independent structural problem considering cohesive fracture is ill-posed in its original form due to the non-unique nature of the solution. This renders the use of gradient-based optimization algorithms problematic. To overcome this issue, we introduce viscous regularization and a local approximation of the cohesive law into the governing state equations, and study the impact with the help of interfacial fracture of composite structures consisting of two or more materials. The fracture problem is then integrated into a material optimization framework. We study the effect of viscous regularization on the global landscape of the proposed objective function using a 2-dimensional delamination example with one design parameter and discuss difficulties resulting from the stabilization of inherently unstable crack states. In view of these issues, we finally propose considering multiple state problems, each limited to a single crack, with different predefined crack paths. In the end, we optimize the orientations of orthotropic inclusions embedded in a double-cantilever beam for the worst case of the potential crack paths.
APA:
Singh, S., Pflug, L., & Stingl, M. (2021). Material optimization to enhance delamination resistance of composite structures using viscous regularization. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/j.cma.2021.113881
MLA:
Singh, Sukhminder, Lukas Pflug, and Michael Stingl. "Material optimization to enhance delamination resistance of composite structures using viscous regularization." Computer Methods in Applied Mechanics and Engineering (2021).
BibTeX: Download