Difference between revisions of "Rigidity"

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(New page: Certain transitions of soft matter systems, such as jamming, rigidity percolation, and the glass transition, rely on a mechanical transition from fluid-like to solid-like behav...)
 
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Certain transitions of soft matter systems, such as [[jamming]], [[rigidity percolation]], and the [[glass transition]], rely on a mechanical transition from fluid-like to solid-like behavior. This tends to be ill-defined in a significant portion of the soft matter literature. More precisely, rigidity is defined as the ability of a material to elastically support a finite shear stress. The manner in which materials develop rigidity is a deep and well-studied topic, with roots going as far back as Maxwell and de Gennes. Future versions of this page should incorporate Maxwell's criterion relating rigidity in a central force network to isostaticity and the coordination number; ideas from rigidity percolation, including the important fact that connectivity percolation may not be sufficient for rigidity percolation in a central force network (e.g. if bonds can support stretching but not bending); etc.
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Certain transitions of soft matter systems, such as [[jamming]], [[rigidity percolation]], and the [[glass transition]], rely on a mechanical transition from fluid-like to solid-like behavior. This tends to be ill-defined in a significant portion of the soft matter literature. Precisely, the development of ''rigidity'' is defined as the ability of a material to elastically support a finite shear stress. The manner in which materials develop rigidity is a deep and well-studied topic, with roots going as far back as Maxwell and de Gennes.  
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Future versions of this page should incorporate Maxwell's criterion relating rigidity in a central force network to isostaticity and the coordination number; ideas from rigidity percolation, including the important fact that connectivity percolation may not be sufficient for rigidity percolation in a central force network (e.g. if bonds can support stretching but not bending); etc.

Revision as of 20:45, 25 October 2009

Certain transitions of soft matter systems, such as jamming, rigidity percolation, and the glass transition, rely on a mechanical transition from fluid-like to solid-like behavior. This tends to be ill-defined in a significant portion of the soft matter literature. Precisely, the development of rigidity is defined as the ability of a material to elastically support a finite shear stress. The manner in which materials develop rigidity is a deep and well-studied topic, with roots going as far back as Maxwell and de Gennes.

Future versions of this page should incorporate Maxwell's criterion relating rigidity in a central force network to isostaticity and the coordination number; ideas from rigidity percolation, including the important fact that connectivity percolation may not be sufficient for rigidity percolation in a central force network (e.g. if bonds can support stretching but not bending); etc.