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Optimal structures for failure resistance under impact

Akerson, Andrew (2023) Optimal structures for failure resistance under impact. Journal of the Mechanics and Physics of Solids, 172 . Art. No. 105172. ISSN 0022-5096. doi:10.1016/j.jmps.2022.105172.

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The complex physics and numerous failure modes of structural impact creates challenges when designing for impact resistance. While simple geometries of layered material are conventional, advances in 3D printing and additive manufacturing techniques have now made tailored geometries or integrated multi-material structures achievable. Here, we apply gradient-based topology optimization to the design of such structures. We start by constructing a variational model of an elastic–plastic material enriched with gradient phase-field damage, and present a novel method to efficiently compute its transient dynamic time evolution. We consider a finite element discretization with explicit updates for the displacements. The damage field is solved through an augmented Lagrangian formulation, splitting the operator coupling between the nonlinearity and non-locality. Sensitivities over this trajectory are computed through the adjoint method, and we develop a numerical method to solve the resulting adjoint dynamical system. We demonstrate this formulation by studying the optimal design of 2D solid–void structures undergoing blast loading. Then, we explore the trade-offs between strength and toughness in the design of a spall-resistant structure composed of two materials of differing properties undergoing dynamic impact.

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Akerson, Andrew0000-0002-4382-1226
Additional Information:The author would like to acknowledge Kaushik Bhattacharya for his advice and support throughout the project. The financial support of the U.S. National Science Foundation through “Collaborative Research: Optimal Design of Responsive Materials and Structures” (DMS:2009289) and the US Army Research Laboratory thought Cooperative Agreement Number W911NF-122-0022 is gratefully acknowledged. The views and conclusions contained in this document are those of the authors and should not be interpreted as representing the official policies, either expressed or implied, of the Army Research Laboratory or the U.S. Government. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation herein.
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-122-0022
Record Number:CaltechAUTHORS:20230117-369491100.2
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:118807
Deposited By: Research Services Depository
Deposited On:30 Jan 2023 17:20
Last Modified:30 Jan 2023 17:20

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