Problem 4. Interlocking Structures.

This problem set was made and presented by A.J.Kanel-Belov and I.A.Ivanov.

Tasks

3 pages.

Tasks in postscript format: kn1.ps (69761) - in the beginning of a conference; kn2.ps (28946) - additions after the semifinal
Zip-archive of this postscript files (problems.ps.zip, 42105)
Zip-archive of a source in tex format (problems.zip, 42105)
Additional illustrations to a probmlem (jpeg, 235716)

Authors used mathirials from different origins (list is attached) and some original idears. This text is published only for educational purpose. The additional picture of failure was taken from [5].

Journal papers

1. Dyskin, AV, Y Estrin, A J Kanel-Belov & E Pasternak, 2001. A new concept in design of materials and structures: Assemblies of interlocked tetrahedron-shaped elements. Scripta Materialia, 44, 2689-2694.

2. Dyskin, AV, Y Estrin, A J Kanel-Belov & E Pasternak, 2001. Toughening by fragmentation - How topology helps. Advanced Engineering Materials, 3, Issue 11, 885-888.

3. Dyskin, A.V., Estrin, Y., Pasternak, E., Kanel-Belov, A.J. (2002) Topological interlocking of platonic solids: A way to new materials and structures, Phil. Mag. Letters (accepted).

4. Dyskin, AV, Y Estrin, A J Kanel-Belov & E Pasternak, 2003. A new principle in design of composite materials: reinforcement by interlocked elements. Composites Science & Technology (accepted).

5. Dyskin, AV, Y Estrin, E Pasternak, H.C. Khor & A J Kanel-Belov 2003. Fracture resistant structures based on topological interlocking with non-planar contacts. Advanced Engineering Materials, (accepted).

Conference papers

6. Estrin, J., Dyskin, A., Kanel-Belov, A., Pasternak, E. (2001) Zusammengesetzte Schichtstrukturen mit topologischer Verzahnung von "Bausteinen' - ein neues Konzept im Werkstoffdesign, VDI-BERICHTE NR. 1595, 187-198.

7. Estrin, Y., AV Dyskin, A J Kanel-Belov & E Pasternak, 2002. Materials with novel architectonics: Assemblies of interlocked elements. In: IUTAM Symposium on Analytical and Computational Fracture Mechanics of Non-homogeneous Materials, (Karihaloo, B., Ed), Cardiff, UK, June 18-22, 2001, Kluwer Academic Press, 51-56.

8. Dyskin, A.V., Estrin, Y., Kanel-Belov, A.J. and Pasternak, E. 2002. A new class of composite materials based on topological interlocking, In: Applied mechanics. Progress and application. ACAM 2002 The Third Australasian Congress on Applied Mechanics Sydney, February 20-22, 2002 (Zhang, L., Tong, L. and Gal, J., Eds), World Scientific, Singapore, New Jersey, London, Hong Kong, 485-490.

9. Khor, C., Dyskin, A.V., Pasternak, E. Estrin, Y. and Kanel-Belov, A.J. 2002. Integrity and fracture of plate-like assemblies of topologically interlocked elements. In: Structural Integrity and Fracture, SIF2002 (Dyskin, A.V. Hu X.Z. and Sahouryeh, E., Eds), Swets & Zeitlinger, Lisse, 449-456.

Abstracts

10. Dyskin, AV, Y Estrin, A J Kanel-Belov & E Pasternak, 2001. A new principle in design of composite materials: reinforcement by interlocked elements. Abstracts, ICMAT 2001International Conference on Materials for Advanced Technologies, 1-6 July, Singapore, K16-06, p. 325.