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A micropolar theory for the finite elasticity of open-cell cellular solids

Per Hård af Segerstad (Institutionen för tillämpad mekanik, Material- och beräkningsmekanik) ; Staffan Toll (Institutionen för tillämpad mekanik, Material- och beräkningsmekanik) ; Ragnar Larsson (Institutionen för tillämpad mekanik, Material- och beräkningsmekanik)
Proceedings of the Royal Society A (1364-5021). Vol. 465 (2009), p. 843-865.
[Konferensbidrag, refereegranskat]

A mechanistic model is presented for an open-cell cellular solid consisting of a three-dimensional network of elastic struts. By considering the bending and torsion as well as stretching and buckling of the struts, we allow for length-scale effects in the macroscopic response. Constitutive equations are developed for the force and couple stress tensors, accounting for finite deformations and anisotropy. The consistent tangent stiffness operators are derived and the equations are fully implemented in a nonlinear two-dimensional finite-element solution scheme for the coupled displacement/rotation problem. A boundary-value problem of a shear gap with prescribed boundary rotations is analysed, and the model is shown to predict the well-known gap size effect. The mechanistic model allows some detailed interpretation of the micropolar behaviour, such as the effects of strut slenderness, strut length and anisotropy.

Nyckelord: foams; large deformations; micromechanics; micropolar continuum; Cosserat theory; finite element methods



Denna post skapades 2008-12-06. Senast ändrad 2016-02-01.
CPL Pubid: 79830

 

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Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Material- och beräkningsmekanik

Ämnesområden

Fastkroppsmekanik

Chalmers infrastruktur