Singh S, Stingl M (2021)
Publication Type: Journal article
Publication year: 2021
Book Volume: 20
Issue: 1
Advances in the computational modeling of fracture in solid structures have opened up possibilities for structural design optimization. The rate‐independent structural problem considering damage in its original form is ill‐posed due to the non‐unique nature of the solution, that poses difficulty in using gradient‐based algorithms for material optimization. To overcome this issue, this work introduces a viscosity parameter in the governing state equations and, thus renders the structural problem well‐posed. Material interfaces are modeled using an exponential, initially‐elastic cohesive law and linear elasticity is assumed throughout the structural domain. The time‐dependent fracture problem is solved via incremental variational approach with finite element discretization of the displacement field. Finally, the effectiveness of the method is illustrated by a material optimization example using a smooth gradient‐based solver with first‐order material sensitivities.
APA:
Singh, S., & Stingl, M. (2021). Material optimization for controlling interfacial damage in composite structures. Proceedings in Applied Mathematics and Mechanics, 20. https://doi.org/10.1002/pamm.202000344
MLA:
Singh, Sukhminder, and Michael Stingl. "Material optimization for controlling interfacial damage in composite structures." Proceedings in Applied Mathematics and Mechanics 20 (2021).
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