Fecha registrada: October 21 2015

Duration: 53 minutes 39 seconds

The mechanical properties of materials such as concrete, metal powders, and ceramics are governed by how well we can pack the different sizes and shapes of particle. 

We'll look at this intractable problem providing an overview of theoretical and practical packing schemes.

Table of contents
1. Welcome
01:44
2. In pursuit of perfect packing*
00:44
3. Abstract
00:50
4. Agenda
00:51
5. O2Q
00:23
6. Martin Gardner (Scientific American)
00:39
7. Martin Gardner (Scientific American)
00:22
8. Distinguish between 2-D and 3-D packingTheoretical and practical
02:03
9. Packing of whiskey barrels – a 2-D problem?Solution in 2-D is p/√12 or ~ 90.7%
00:39
10. Pittcon 2014 & 2015 – a 3-D problemHow many candies in the jar? (10159 actually)
00:39
11. Fermi guess - http://tinyurl.com/o945pnf
01:00
12. Why perfect packing?
00:53
13. Important properties - particle size distribution
00:25
14. Packing density
00:42
15. Packing and its converse
01:00
16. Packing density
01:03
17. An even more serious problem in 3-D
01:02
18. City Museum - Stadtmuseum, München
00:14
19. Kepler – Seu de nive sexangula (1611) Graz
00:15
20. Thomas Hales
00:27
21. A more serious problem – irregular particles
00:33
22. DigiPac- plugs in a box
00:00
23. “The packing of solid particles” W A Gray (1968)
00:47
24. Perfect packing
00:52
25. Escher – my favorite (mathematical) artistAngels and Demons
00:22
26. Penrose tiling
00:32
27. Apollonian packing: 2-D
00:49
28. Radius of central circle (r4) between 3 circles
01:47
29. ‘Kissing’ circles
00:49
30. Packing of Apollonian System
00:00
31. Gosset’s equation – greater dimensions
00:40
32. Furnas (1931)
00:33
33. Furnas – Figure 3 (page 1055)
00:44
34. Furnas
00:30
35. (John) Desmond Bernal
01:05
36. Ceramics
00:51
37. Fractal dimension of 2.76….
00:24
38. Andreasen
00:41
39. Adapted from Pietsch
00:15
40. Pietsch
00:21
41. Dinger-Funk equation
00:52
42. Ideal particle size distribution – plotted on log-log paper
00:30
43. Here’s my D-F plots for the Mastersizer 3000
00:17
44. A cement
00:25
45. Dinger – Particle Calculations for Ceramists
00:18
46. Dinger – Particle Calculations for Ceramists
00:30
47. Dinger – Particle Calculations for Ceramists
00:32
48. Dinger – Particle Calculations for Ceramists
00:17
49. Wolfgang PietschAgglomeration
00:27
50. Shenoy – disadvantages of agglomerates with respect to packing
00:37
51. Practical application
00:47
52. Jean-Louis Salager
00:38
53. Kyrylyuk – Slide 26
00:41
54. Kyrylyuk – Slide 27
00:14
55. Packing density – remember in 2-D: 1/6.464…
00:36
56. Packing density
00:20
57. Ball bearings on eBay – how many should I buy?
00:09
58. Emulsions
00:14
59. ASTM - 1941
00:13
60. ASTM - 1941
00:13
61. Blaine & Carman-Kozeny
00:32
62. Permeability – Blaine
00:17
63. Soils - permeability
00:09
64. Book recommendation – Henk Merkus
00:32
65. Chapter 7 Stroeven/He - concrete
00:27
66. Away from spheres - Andriy Kyrylyuk*
00:27
67. Kyrylyuk – Slide 34
00:28
68. Road asphalt applications
00:26
69. Protein applications
00:18
70. Acknowledgement
00:12
71. References
00:16
72. References
00:15
73. Thank you!
00:23
74. Thank you for your attentionAny questions?
09:45
75. Contact Information
01:52