Mismatch strain programmed shape transformation of curved bilayer-flexible support assembly

Extreme Mechanics Letters

Volumn 7, Issue , 2016, Pages 34-41

  Abdullah, Arif M ^a   Nan, Kewang ^a   Rogers, John A ^b   Hsia, K Jimmy ^a,b,c  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b United States of America   (United States)

^c CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

3D architecture; Finite element analysis; Mechanical instability; Programmable matter; Shape transformation

Indexed keywords

ARCHITECTURE; DEFORMATION;

3D ARCHITECTURES; FUNCTIONAL CAPABILITIES; MECHANICAL INSTABILITIES; PROGRAMMABLE MATTER; SHAPE TRANSFORMATION; STIMULI-RESPONSIVE MATERIALS; THREE DIMENSIONAL (3D) STRUCTURES; THREE-DIMENSIONAL ARCHITECTURE;

FINITE ELEMENT METHOD;

EID: 84959354817     PISSN: None     EISSN: 23524316     Source Type: Journal    
DOI: 10.1016/j.eml.2016.02.009     Document Type: Article

References (58)

1. Gerbode S.J., Puzey J.R., McCormick A.G., Mahadevan L. How the cucumber tendril coils and overwinds. Science 2012, 337(6098):1087-1091.
2. Llorens C., Argentina M., Bouret Y., Marmottant P., Vincent O. A dynamical model for the Utricularia trap. J. R. Soc. Interface 2012, 9(76):3129-3139.
3. Elbaum R., Zaltzman L., Burgert I., Fratzl P. The role of wheat awns in the seed dispersal unit. Science 2007, 316(5826):884-886.
4. Katifori E., Alben S., Cerda E., Nelson D.R., Dumais J. Foldable structures and the natural design of pollen grains. Proc. Natl. Acad. Sci. 2010, 107(17):7635-7639.
5. Volkov A.G., Foster J.C., Ashby T.A., Walker R.K., Johnson J.A., Markin V.S. Mimosa pudica: Electrical and mechanical stimulation of plant movements. Plant Cell Environ. 2010, 33(2):163-173.
6. Burgert I., Fratzl P. Plants control the properties and actuation of their organs through the orientation of cellulose fibrils in their cell walls. Integr. Comp. Biol. 2009, 49(1):69-79.
7. Jamal M., Zarafshar A.M., Gracias D.H. Differentially photo-crosslinked polymers enable self-assembling microfluidics. Nature Commun. 2011, 2:527.
8. Yoon C., Xiao R., Park J., Cha J., Nguyen T.D., Gracias D.H. Functional stimuli responsive hydrogel devices by self-folding. Smart Mater. Struct. 2014, 23(9).
9. Huang W., Koric S., Yu X., Hsia K.J., Li X. Precision structural engineering of self-rolled-up 3D nanomembranes guided by transient quasi-static FEM modeling. Nano Lett. 2014, 14(11):6293-6297.
10. Na J.-H., Evans A.A., Bae J., Chiappelli M.C., Santangelo C.D., Lang R.J., Hull T.C., Hayward R.C. Programming reversibly self-folding origami with micropatterned photo-crosslinkable polymer trilayers. Adv. Mater. 2015, 27(1):79-85.
11. Deng T., Yoon C., Jin Q., Li M., Liu Z., Gracias D.H. Self-folding graphene-polymer bilayers. Appl. Phys. Lett. 2015, 106(20).
12. Shenoy V.B., Gracias D.H. Self-folding thin-film materials: From nanopolyhedra to graphene origami. MRS Bull. 2012, 37(09):847-854.
13. Malachowski K., Breger J., Kwag H.R., Wang M.O., Fisher J.P., Selaru F.M., Gracias D.H. Stimuli-responsive theragrippers for chemomechanical controlled release. Angew. Chem. Int. Ed. 2014, 53(31):8045-8049.
14. Wu Z.L., Moshe M., Greener J., Therien-Aubin H., Nie Z., Sharon E., Kumacheva E. Three-dimensional shape transformations of hydrogel sheets induced by small-scale modulation of internal stresses. Nature Commun. 2013, 4:1586.
15. Motala M.J., Perlitz D., Daly C.M., Yuan P., Nuzzo R.G., Hsia K.J. Programming matter through strain. Extreme Mech. Lett. 2015, 3:8-16.
16. McConney M.E., Martinez A., Tondiglia V.P., Lee K.M., Langley D., Smalyukh I.I., White T.J. Topography from topology: Photoinduced surface features generated in liquid crystal polymer networks. Adv. Mater. 2013, 25(41):5880-5885.
17. Xu S., Yan Z., Jang K.-I., Huang W., Fu H., Kim J., Wei Z., Flavin M., McCracken J., Wang R., Badea A., Liu Y., Xiao D., Zhou G., Lee J., Chung H.U., Cheng H., Ren W., Banks A., Li X., Paik U., Nuzzo R.G., Huang Y., Zhang Y., Rogers J.A. Assembly of micro/nanomaterials into complex, three-dimensional architectures by compressive buckling. Science 2015, 347(6218):154-159.
18. Zhang Y., Yan Z., Nan K., Xiao D., Liu Y., Luan H., Fu H., Wang X., Yang Q., Wang J., Ren W., Si H., Liu F., Yang L., Li H., Wang J., Guo X., Luo H., Wang L., Huang Y., Rogers J.A. A mechanically driven form of Kirigami as a route to 3D mesostructures in micro/nanomembranes. Proc. Natl. Acad. Sci. 2015, 112(38):11757-11764.
19. Zhao Q., Dunlop J.W.C., Qiu X., Huang F., Zhang Z., Heyda J., Dzubiella J., Antonietti M., Yuan J. An instant multi-responsive porous polymer actuator driven by solvent molecule sorption. Nature Commun. 2014, 5. Article number 4293.
20. Kelby T.S., Wang M., Huck W.T.S. Controlled folding of 2D Au-polymer brush composites into 3D microstructures. Adv. Funct. Mater. 2011, 21(4):652-657.
21. Ionov L. Hydrogel-based actuators: possibilities and limitations. Mater. Today 2014, 17(10):494-503.
22. Mechanics of Materials 2011, McGraw-Hill, New York. sixth ed. F.P. Beer (Ed.).
23. Timoshenko S., Gere J.M. Theory of Elastic Stability 2009, Dover Publications, Mineola, N.Y. second ed.
24. Pytel A., Singer F.L. Strength of Materials 1987, Harper & Row, New York. fourth ed.
25. Xia C., Lee H., Fang N. Solvent-driven polymeric micro beam device. J. Micromech. Microeng. 2010, 20(8).
26. Gere J.M., Timoshenko S. Mechanics of Materials 1997, PWS Pub Co., Boston. fourth ed.
27. ABAQUS Documentation 2014, ABAQUS, Dassault Systemes, Providence, RI, USA.
28. Yang H., Fan F., Liang W., Guo X., Zhu T., Zhang S. A chemo-mechanical model of lithiation in silicon. J. Mech. Phys. Solids 2014, 70:349-361.
29. Pharr M., Zhao K., Wang X., Suo Z., Vlassak J.J. Kinetics of initial lithiation of crystalline silicon electrodes of lithium-ion batteries. Nano Lett. 2012, 12(9):5039-5047.
30. Liu J., Li N., Goodman M.D., Zhang H.G., Epstein E.S., Huang B., Pan Z., Kim J., Choi J.H., Huang X., Liu J., Hsia K.J., Dillon S.J., Braun P.V. Mechanically and chemically Robust sandwich-structured C@Si@C nanotube array li-ion battery anodes. ACS Nano 2015, 9(2):1985-1994.
31. Epstein E., Yoon J., Madhukar A., Hsia K.J., Braun P.V. Colloidal particles that rapidly change shape via elastic instabilities. Small 2015, 11(45):6051-6057.
32. Fang W., Wickert J.A. Post buckling of micromachined beams. J. Micromech. Microeng. 1994, 4(3):116-122.
33. Saif M.T.A. On a tunable bistable MEMS-theory and experiment. J. Microelectromech. Syst. 2000, 9(2):157-170.
34. Johnston I.D., McCluskey D.K., Tan C.K.L., Tracey M.C. Mechanical characterization of bulk Sylgard 184 for microfluidics and microengineering. J. Micromech. Microeng. 2014, 24(3).
35. Tallinen T., Chung J.Y., Biggins J.S., Mahadevan L. Gyrification from constrained cortical expansion. Proc. Natl. Acad. Sci. 2014, 111(35):12667-12672.
36. Wei Z., Jia Z., Athas J., Wang C., Raghavan S.R., Li T., Nie Z. Hybrid hydrogel sheets that undergo pre-programmed shape transformations. Soft Matter 2014, 10(41):8157-8162.
37. Forterre Y., Skotheim J.M., Dumais J., Mahadevan L. How the Venus flytrap snaps. Nature 2005, 433(7024):421-425.
38. G. Hrinda, Snap-through instability patterns in truss structures, in: Presented at the 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Orlando, FL; United States, 2010.
39. Williams M.D., van Keulen F., Sheplak M. Modeling of initially curved beam structures for design of multistable MEMS. J. Appl. Mech. 2012, 79(1).
40. Madhukar A., Perlitz D., Grigola M., Gai D., Jimmy Hsia K. Bistable characteristics of thick-walled axisymmetric domes. Int. J. Solids Struct. 2014, 51(14):2590-2597.
41. Lee H., Xia C., Fang N.X. First jump of microgel; actuation speed enhancement by elastic instability. Soft Matter 2010, 6(18):4342.
42. C. Felippa, Nonlinear Finite Element Methods. University of Colorado Boulder.
43. R. Wiebe, L. Virgin, I. Stanciulescu, S. Spottswood, On Snap-Through Buckling, in: Presented at the 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Denver, Colorado, 2011.
44. Hohlfeld E., Mahadevan L. Unfolding the sulcus. Phys. Rev. Lett. 2011, 106(10). Article number 105702.
45. Jin L., Suo Z. Smoothening creases on surfaces of strain-stiffening materials. J. Mech. Phys. Solids 2015, 74:68-79.
46. Cai S., Chen D., Suo Z., Hayward R.C. Creasing instability of elastomer films. Soft Matter 2012, 8(5):1301-1304.
47. Wang Q., Zhao X. Phase diagrams of instabilities in compressed film-substrate systems. J. Appl. Mech. 2013, 81(5).
48. Zhao R., Zhang T., Diab M., Gao H., Kim K.-S. The primary bilayer ruga-phase diagram I: Localizations in ruga evolution. Extreme Mech. Lett. 2015, 4:76-82.
49. Jin L., Auguste A., Hayward R.C., Suo Z. Bifurcation diagrams for the formation of wrinkles or creases in soft Bilayers. J. Appl. Mech. 2015, 82(6).
50. Mentrasti L. Bending of large curvature beams. Int. J. Solids Struct. 2001, 38(32-33):5703-5726.
51. Yu W., Hodges D.H., Volovoi V., Cesnik C.E.S. On Timoshenko-like modeling of initially curved and twisted composite beams. Int. J. Solids Struct. 2002, 39(19):5101-5121.
52. Guedes R.M., Sá A. Numerical analysis of singly curved shallow composite panels under three-point bend load. Compos. Struct. 2008, 83(2):212-220.
53. Pi Y.-L., Bradford M.A., Uy B. In-plane stability of arches. Int. J. Solids Struct. 2002, 39(1):105-125.
54. Qiu J., Lang J.H., Slocum A.H. A curved-beam bistable mechanism. J. Microelectromech. Syst. 2004, 13(2):137-146.
55. Park S., Hah D. Pre-shaped buckled-beam actuators: Theory and experiments. Sens. Actuators Phys. 2008, 148(1):186-192.
56. Han J.S., Ko J.S., Korvink J.G. Structural optimization of a large-displacement electromagnetic Lorentz force microactuator for optical switching applications. J. Micromech. Microeng. 2004, 14(11):1585-1596.
57. Han J.S., Ko J.S., Kim Y.T., Kwak B.M. Parametric study and optimization of a micro-optical switch with a laterally driven electromagnetic microactuator. J. Micromech. Microeng. 2002, 12(6):939-947.
58. Andò B., Baglio S., Bulsara A.R., Marletta V. A bistable buckled beam based approach for vibrational energy harvesting. Sens. Actuators Phys. 2014, 211:153-161.