scholarly journals The energetics of heterogeneous deformation in open-cell solid foams

2001 ◽  
Vol 457 (2009) ◽  
pp. 1079-1096 ◽  
Author(s):  
Gustavo Gioia ◽  
Yu Wang ◽  
Alberto M. Cuitiño
Keyword(s):  
Open Cell ◽  
Solid Foams ◽  
Heterogeneous Deformation

scholarly journals Radiative properties of irregular open cell solid foams

2017 ◽  
Vol 117 ◽  
pp. 77-89 ◽  
Author(s):  
Salvatore Cunsolo ◽  
Rémi Coquard ◽  
Dominique Baillis ◽  
Wilson K.S. Chiu ◽  
Nicola Bianco
Keyword(s):  
Radiative Properties ◽  
Open Cell ◽  
Solid Foams

The Deformation Habits of Compressed Open-Cell Solid Foams

2000 ◽  
Vol 122 (4) ◽  
pp. 376-378 ◽  
Author(s):  
Y. Wang ◽  
G. Gioia ◽  
A. M. Cuitin˜o
Keyword(s):  
Digital Image Correlation ◽  
Digital Image ◽  
Displacement Field ◽  
Field Measurements ◽  
Image Correlation ◽  
Correlation Technique ◽  
Digital Image Correlation Technique ◽  
Open Cell ◽  
Spatially Inhomogeneous ◽  
Solid Foams

Compressed open-cell solid foams frequently exhibit spatially inhomogeneous distributions of local stretch. The theoretical aspects of this deformation habit have not been clearly elucidated. Here we briefly discuss the energetics of the problem to show that the stretch inhomogeneity stems from the nonconvexity of the underlying potential. We also perform displacement field measurements using the Digital Image Correlation technique, and discuss the results in light of the theory. [S0094-4289(00)01904-6]

Foam Structure: From Soap Froth to Solid Foams

MRS Bulletin ◽  
2003 ◽  
Vol 28 (4) ◽  
pp. 275-278 ◽  
Author(s):  
Andrew M. Kraynik
Keyword(s):  
Three Dimensional ◽  
Edge Length ◽  
Surface Evolver ◽  
Foam Structure ◽  
Open Cell ◽  
Liquid Foams ◽  
Virtual Reconstruction ◽  
Open Cell Foams ◽  
Solid Foams ◽  
Polyhedral Cells

AbstractThe properties of solid foams depend on their structure, which usually evolves in the fluid state as gas bubbles expand to form polyhedral cells. The characteristic feature of foam structure—randomly packed cells of different sizes and shapes—is examined in this article by considering soap froth. This material can be modeled as a network of minimal surfaces that divide space into polyhedral cells. The cell-level geometry of random soap froth is calculated with Brakke's Surface Evolver software. The distribution of cell volumes ranges from monodisperse to highly polydisperse. Topological and geometric properties, such as surface area and edge length, of the entire foam and individual cells, are discussed. The shape of struts in solid foams is related to Plateau borders in liquid foams and calculated for different volume fractions of material. The models of soap froth are used as templates to produce finite element models of open-cell foams. Three-dimensional images of open-cell foams obtained with x-ray microtomography allow virtual reconstruction of skeletal structures that compare well with the Surface Evolver simulations of soap-froth geometry.

Tuning Elasticity of Open-Cell Solid Foams and Bone Scaffolds via Randomized Vertex Connectivity

2011 ◽  
Vol 14 (1-2) ◽  
pp. 120-124 ◽  
Author(s):  
Susan Nachtrab ◽  
Sebastian C. Kapfer ◽  
Dominik Rietzel ◽  
Dietmar Drummer ◽  
Mahyar Madadi ◽  
...  
Keyword(s):  
Vertex Connectivity ◽  
Open Cell ◽  
Bone Scaffolds ◽  
Solid Foams

Modeling of Dynamically Loaded Open-Cell Metallic Foams

2007 ◽  
Author(s):  
Pedro A. Romero ◽  
Alberto M. Cuitin˜o
Keyword(s):  
Micromechanical Model ◽  
Present Theory ◽  
Unit Cell ◽  
Metallic Foams ◽  
Cell Level ◽  
Open Cell ◽  
Dynamically Loaded ◽  
Unit Cells ◽  
Heterogeneous Deformation ◽  
Structure Collapse

Heterogeneous cellular materials such as metallic and polymeric open-celled foams are preferable in many engineering applications requiring mitigation of energy during sudden impact loading. This brief communication presents an approach for modeling dynamically loaded open-cell metallic foams. It is implicitly assumed that there exists a length scale separation where the microstructural dimensions are much smaller than the macroscopic dimensions. In this context, a macroscopic point translates into a microscopic array of identical unit cells sharing the same macroscopic fields. Dictated by a model for the metallic cell wall constitutive behavior, the effective unit cell response is then obtained from a structural micromechanical model which enforces the principle of minimum action on a representative 3D unit cell. The effective macroscopic response at every node in the FEM mesh (equilibrium, stresses, stress tangents) is then provided by the unit cell microscopic model. The present theory allows one to define a constitutive formulation for lightweight, open-celled foams based on clear and quantifiable parameters such as microstructural topology and ligament properties while capturing the effects of dynamic loading via viscous dissipation at ligament level and microinertia at unit cell level. History of deformation is considered at ligament level while axial and bending deformation are considered at unit cell level. As observed experimentally, the resulting macroscopic FEM simulations clearly demonstrate how the material undergoes heterogeneous deformation during cellular structure collapse.

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