Skip to main content Accessibility help
×
Home
Hostname: page-component-6c8bd87754-fsdw5 Total loading time: 0.168 Render date: 2022-01-21T09:13:59.252Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "metricsAbstractViews": false, "figures": true, "newCiteModal": false, "newCitedByModal": true, "newEcommerce": true, "newUsageEvents": true }

Article contents

Imperfect architected materials: Mechanics and topology optimization

Published online by Cambridge University Press:  10 October 2019

Damiano Pasini
Affiliation:
McGill University, Canada; damiano.pasini@mcgill.ca
James K. Guest
Affiliation:
Johns Hopkins University, USA; jkguest@jhu.edu
Get access

Abstract

This article examines two intertwined topics on architected materials with imperfections—their mechanics and optimum design. We first discuss the main factors that control defect sensitivity along with a range of strategies for defect characterization. The potency of both as-designed and as-manufactured defects on their macroscopic response is highlighted with an emphasis on those caused by additive manufacturing technology. As a natural extension of defect sensitivity, we describe the design approaches for architected materials with particular focus on systematic tools of topology optimization. Recent extensions to formally incorporate imperfections in the optimization formulation are discussed, where the ultimate goal is to generate architectures that are flaw-tolerant and perform robustly in the presence of imperfections. We conclude with an outlook on the field, highlighting potential areas of future research.

Type
Three-Dimensional Architected Materials and Structures
Copyright
Copyright © Materials Research Society 2019 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Gibson, L.J., Ashby, M.F., Cellular Solids: Structure and Properties, 2nd ed. (Cambridge University Press, Cambridge, UK, 1997).CrossRefGoogle Scholar
Deshpande, V.S., Ashby, M.F., Fleck, N.A., Acta Mater . 49, 1035 (2001).CrossRefGoogle Scholar
Deshpande, V.S., Fleck, N.A., Ashby, M.F., J. Mech. Phys. Solids 49, 1747 (2001).CrossRefGoogle Scholar
Sigmund, O., Int. J. Solids Struct. 31, 2313 (1994).CrossRefGoogle Scholar
Coulais, C., Sabbadini, A., Vink, F., van Hecke, M., Nature 561, 512 (2018).CrossRefGoogle Scholar
Liu, L., Kamm, P., García-Moreno, F., Banhart, J., Pasini, D., J. Mech. Phys. Solids 107, 160 (2017).CrossRefGoogle Scholar
Bauer, J., Schroer, A., Schwaiger, R., Kraft, O., Nat. Mater. 15, 438 (2016).CrossRefGoogle Scholar
Meza, L.R., Das, S., Greer, J.R., Science 345, 1322 (2014).CrossRefGoogle Scholar
Guest, J.K., Igusa, T., Comput. Methods Appl. Mech. Eng. 198, 116 (2008).CrossRefGoogle Scholar
Sigmund, O., Acta Mech. Sin. 25, 227 (2009).CrossRefGoogle Scholar
Andreassen, E., Lazarov, B.S., Sigmund, O., Mech. Mater. 69, 1 (2014).CrossRefGoogle Scholar
Zhao, L., Ha, S., Sharp, K.W., Geltmacher, A.B., Fonda, R.W., Kinsey, A.H., Zhang, Y., Ryan, S.M., Erdeniz, D., Dunand, D.C., Hemker, K.J., Guest, J.K., Weihs, T.P., Acta Mater . 81, 326 (2014).CrossRefGoogle Scholar
Lin, S., Zhao, L., Guest, J.K., P Weihs, T., Liu, Z., J. Mech. Des. 137, 081402 (2015).CrossRefGoogle Scholar
Arabnejad, S., Burnett Johnston, R., Pura, J.A., Singh, B., Tanzer, M., Pasini, D., Acta Biomater. 30, 345 (2016).CrossRefGoogle Scholar
Melancon, D., Bagheri, Z., Johnston, R., Liu, L., Tanzer, M., Pasini, D., Acta Biomater . 63, 350 (2017).CrossRefGoogle Scholar
Maggi, A., Li, H., Greer, J.R., Acta Biomater. 63, 294 (2017).CrossRefGoogle Scholar
Moussa, A., Tanzer, M., Pasini, D., J. Mech. Behav. Biomed. Mater. 85, 134 (2018).CrossRefGoogle Scholar
Bagheri, Z.S., Melancon, D., Liu, L., Johnston, R.B., Pasini, D., J. Mech. Behav. Biomed. Mater. 70, 17 (2017).CrossRefGoogle Scholar
Mueller, J., Shea, K., Mater. Today Commun. 17, 69 (2018).CrossRefGoogle Scholar
Symons, D.D., Fleck, N.A., J. Appl. Mech. 75, 051011 (2008).CrossRefGoogle Scholar
Chen, C., Lu, T.J., Fleck, N.A., Int. J. Mech. Sci. 43, 487 (2001).CrossRefGoogle Scholar
Simone, A.E., Gibson, L.J., Acta Mater . 46, 2139 (1998).CrossRefGoogle Scholar
Gan, Y.X., Chen, C., Shen, Y.P., Int. J. Solids Struct. 42, 6628 (2005).CrossRefGoogle Scholar
Ronan, W., Deshpande, V.S., Fleck, N.A., Int. J. Solids Struct. 102, 200 (2016).CrossRefGoogle Scholar
Gross, A., Pantidis, P., Bertoldi, K., Gerasimidis, S., J. Mech. Phys. Solids 124, 577 (2019).CrossRefGoogle Scholar
Chen, C., Lu, T.J., Fleck, N.A., J. Mech. Phys. Solids 47, 2235 (1999).CrossRefGoogle Scholar
Tankasala, H.C., Deshpande, V.S., Fleck, N.A., J. Mech. Phys. Solids 109, 307 (2017).CrossRefGoogle Scholar
Fleck, N.A., Qiu, X., J. Mech. Phys. Solids 55, 562 (2007).CrossRefGoogle Scholar
Romijn, N.E.R., Fleck, N.A., J. Mech. Phys. Solids 55, 2538 (2007).CrossRefGoogle Scholar
Ferrigno, A., Di Caprio, F., Borrelli, R., Auricchio, F., Vigliotti, A., Materialia 5, 100232 (2019).CrossRefGoogle Scholar
Dallago, M., Winiarski, B., Zanini, F., Carmignato, S., Benedetti, M., Int. J. Fatigue 124, 348 (2019).CrossRefGoogle Scholar
Bendsøe, M.P., Kikuchi, N., Comput. Methods Appl. Mech. Eng. 71, 197 (1988).CrossRefGoogle Scholar
Sigmund, O., J. Mech. Phys. Solids 48, 397 (2000).CrossRefGoogle Scholar
Challis, V.J., Roberts, A.P., Wilkins, A.H., Int. J. Solids Struct. 45, 4130 (2008).CrossRefGoogle Scholar
Sigmund, O., Torquato, S., Appl. Phys. Lett. 69, 3203 (1996).CrossRefGoogle Scholar
Andreassen, E., Optimal Design of Porous Materials (DTU Mechanical Engineering, 2015).Google Scholar
Challis, V.J., Guest, J.K., Grotowski, J.F., Roberts, A.P., Int. J. Solids Struct. 49, 3397 (2012).CrossRefGoogle Scholar
Osanov, M., Guest, J.K., Annu. Rev. Mater. Res. 46, 211 (2016).CrossRefGoogle Scholar
Vigliotti, A., Deshpande, V.S., Pasini, D., J. Mech. Phys. Solids 64, 44 (2014).CrossRefGoogle Scholar
Jalalpour, M., Igusa, T., Guest, J.K., Int. J. Solids Struct. 48, 3011 (2011).CrossRefGoogle Scholar
Schevenels, M., Lazarov, B.S., Sigmund, O., Comput. Methods Appl. Mech. Eng. 200, 3613 (2011).CrossRefGoogle Scholar
Jansen, M., Lombaert, G., Schevenels, M., Comput. Methods Appl. Mech. Eng. 285, 452 (2015).CrossRefGoogle Scholar
Chen, S., Chen, W., Lee, S., Struct. Multidiscipl. Optim. 41, 507 (2010).CrossRefGoogle Scholar
Tootkaboni, M., Asadpoure, A., Guest, J.K., Comput. Methods Appl. Mech. Eng. 201–204, 263 (2012).CrossRefGoogle Scholar

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Imperfect architected materials: Mechanics and topology optimization
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

Imperfect architected materials: Mechanics and topology optimization
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

Imperfect architected materials: Mechanics and topology optimization
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *