@inproceedings{ea91108f158448079a95b0a82e8cb46b,

title = "Homogenisation methods in mechanics of fragmented solids and hybrid materials",

abstract = "Fragmented solids-solids consisting of elements or fragments not directly connected to each other such that the structural integrity is maintained by a combination of kinematic constraints and compressive stresses at the boundary-play an important role in some natural and engineering systems. They are characterised by reduced shear stresses on the interfaces and the rotation and elbowing of fragments. Fragmented solids are hybrid materials whose internal architecture (geometry) is a design parameter. First, we propose a finite element model of such a hybrid material with a small number of fragments followed by a continuum model for a large number of fragments. We find that the thermal stresses caused by non-uniform heating are substantially reduced in the hybrid as compared to the thermal stresses generated in the solid of the same geometry. The initial stage of block rotations involves delamination of inter-block contacts. A 1D continuum model of delamination (the fragmented beam) shows that delamination reduces the bending stiffness and increases the beam deflections. The reduction in bending stiffness is caused by the bending moment. The bending stiffness is affected by the cross-section geometry, however its influence is minor.",

keywords = "Delamination, Thermal stresses, Topological interlocking",

author = "Elena Pasternak and Dyskin, {Arcady V.} and Igor Shufrin",

year = "2012",

month = jan,

day = "1",

language = "English",

isbn = "9781922107619",

series = "Advances in Applied Mechanics Research, Conference Proceedings - 7th Australasian Congress on Applied Mechanics, ACAM 2012",

publisher = "National Committee on Applied Mechanics",

pages = "563--573",

booktitle = "Advances in Applied Mechanics Research, Conference Proceedings - 7th Australasian Congress on Applied Mechanics, ACAM 2012",

note = "7th Australasian Congress on Applied Mechanics, ACAM 2012 ; Conference date: 09-12-2012 Through 12-12-2012",

}