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Optimizing microstructure for toughness: the model problem of peeling

Hsueh, Chun-Jen and Bhattacharya, Kaushik (2018) Optimizing microstructure for toughness: the model problem of peeling. Structural and Multidisciplinary Optimization, 58 (3). pp. 1067-1080. ISSN 1615-147X.

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We consider the problem of peeling an adhesive thin film from a substrate that has a non-uniform distribution of adhesive. When the length scale of the non-uniformity is small compared to the overall dimensions of the film being peeled, it is possible to describe the overall peeling behavior with an effective adhesive strength. In this paper, we seek to find the distributions of adhesive strength at the microscale that optimize various aspects of the effective adhesive strength at the macroscale. We do so using both analytic bounds and topology optimization. We formulate the problem of peeling as a free boundary problem, and the effective strength as a maximum principle over the trajectory. For topology optimization, we replace the maximum with an integral norm, and use an adjoint method for the sensitivity. The problem of peeling may be viewed as a model problem in fracture mechanics where the crack (peel) front is confined to a plane, and thus our analysis as a first step toward studying the more general problem of optimizing microstructure for toughness.

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Bhattacharya, Kaushik0000-0003-2908-5469
Additional Information:© 2018 Springer-Verlag GmbH Germany, part of Springer Nature. Received: 16 August 2017; Revised: 8 February 2018; Accepted: 13 February 2018; First Online: 02 April 2018. This work draws from the thesis of Chun-Jen Hsueh at the California Institute of Technology. We gratefully acknowledge discussions with Ole Sigmund and Blaise Bourdin, and the financial support of the the US Air Force Office of Scientific Research through the MURI grant “Managing the Mosaic of Microstructure” (FA9550-12-1-0458) as well as the U.S. National Science Foundation through Award No. DMS-1535083 under the Designing Materials to Revolutionize and Engineer our Future (DMREF) Program.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0458
Subject Keywords:Fracture; Toughness; Adhesion
Issue or Number:3
Record Number:CaltechAUTHORS:20180402-101222389
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Official Citation:Hsueh, CJ. & Bhattacharya, K. Struct Multidisc Optim (2018) 58: 1067.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85559
Deposited By: Tony Diaz
Deposited On:02 Apr 2018 17:31
Last Modified:03 Oct 2019 19:32

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