Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F....

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Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F. Ashby Proceedings A Volume 466(2121):2495-2516 September 8, 2010 ©2010 by The Royal Society

Transcript of Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F....

Page 1: Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F. Ashby Proceedings A Volume 466(2121):2495-2516 September.

Micro-architectured materials: past, present and future

by N. A. Fleck, V. S. Deshpande, and M. F. Ashby

Proceedings AVolume 466(2121):2495-2516

September 8, 2010

©2010 by The Royal Society

Page 2: Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F. Ashby Proceedings A Volume 466(2121):2495-2516 September.

A materials time-line.

N. A. Fleck et al. Proc. R. Soc. A 2010;466:2495-2516

©2010 by The Royal Society

Page 3: Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F. Ashby Proceedings A Volume 466(2121):2495-2516 September.

The progressive filling of material property space over time (the charts list the date at the top left)—here the way the materials have been developed over time to meet demands on strength

and density.

N. A. Fleck et al. Proc. R. Soc. A 2010;466:2495-2516

©2010 by The Royal Society

Page 4: Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F. Ashby Proceedings A Volume 466(2121):2495-2516 September.

(a) Kagome lattice, (b) triangular lattice and (c) hexagonal lattice.

N. A. Fleck et al. Proc. R. Soc. A 2010;466:2495-2516

©2010 by The Royal Society

Page 5: Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F. Ashby Proceedings A Volume 466(2121):2495-2516 September.

Venn diagram for selected two-dimensional lattices.

N. A. Fleck et al. Proc. R. Soc. A 2010;466:2495-2516

©2010 by The Royal Society

Page 6: Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F. Ashby Proceedings A Volume 466(2121):2495-2516 September.

Material property charts of (a) E versus ρ and (b) σY versus ρ for engineering materials.

N. A. Fleck et al. Proc. R. Soc. A 2010;466:2495-2516

©2010 by The Royal Society

Page 7: Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F. Ashby Proceedings A Volume 466(2121):2495-2516 September.

A hierarchical lattice on two length scales.

N. A. Fleck et al. Proc. R. Soc. A 2010;466:2495-2516

©2010 by The Royal Society

Page 8: Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F. Ashby Proceedings A Volume 466(2121):2495-2516 September.

Boundary-layer analysis: lattice material with a macroscopic crack under K-control.

N. A. Fleck et al. Proc. R. Soc. A 2010;466:2495-2516

©2010 by The Royal Society

Page 9: Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F. Ashby Proceedings A Volume 466(2121):2495-2516 September.

The predicted mode I fracture toughness KIC plotted as a function of relative density , for the three isotropic lattices: hexagonal, triangular and Kagome.

N. A. Fleck et al. Proc. R. Soc. A 2010;466:2495-2516

©2010 by The Royal Society

Page 10: Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F. Ashby Proceedings A Volume 466(2121):2495-2516 September.

Predictions of the scaling of the fracture toughness of the Kagome lattice with relative density for three choices of the length scale ratio ℓ/a0 and .

N. A. Fleck et al. Proc. R. Soc. A 2010;466:2495-2516

©2010 by The Royal Society

Page 11: Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F. Ashby Proceedings A Volume 466(2121):2495-2516 September.

A plot of fracture toughness, KIC, against density ρ for engineering materials.

N. A. Fleck et al. Proc. R. Soc. A 2010;466:2495-2516

©2010 by The Royal Society

Page 12: Micro-architectured materials: past, present and future by N. A. Fleck, V. S. Deshpande, and M. F. Ashby Proceedings A Volume 466(2121):2495-2516 September.

The damage tolerance of a lattice material and the parent solid.

N. A. Fleck et al. Proc. R. Soc. A 2010;466:2495-2516

©2010 by The Royal Society