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Elastic Composite Materials Having a Negative Stiffness Phase Can Be Stable
2007
Physical Review Letters
We prove that composite materials containing an isotropic phase having negative bulk and Young's moduli (hence being unstable by itself ) can be stable overall, under merely applied traction boundary conditions, if the stable encapsulating phase is sufficiently stiff. We derive specific quantitative requirements on the elastic moduli of the constituent materials that ensure composite stability for two fundamental composite geometries. These results legitimize the concept of
doi:10.1103/physrevlett.98.055502
pmid:17358871
fatcat:uz77e4h7krhu5mes2mxechrbuu