The mechanics of three-dimensional cellular materials

1982/07/08 by I. J. Gibson, Lachlan J. Gibson, Michael Farries Ashby · 1,853 citations
Chemistry · Engineering · Materials Science · #Cell #Cell mechanics #Cellular and Composite Structures #Chemistry #Composite material #Materials science #Mechanics #Moduli #Natural Fiber Reinforced Composites #Physics #Polymer Foaming and Composites

paper · doi:10.1098/rspa.1982.0088

published in Proceedings of the Royal Society of London A Mathematical and Physical Sciences 382(1782), 43-59 (Royal Society)

openalex publication_date 1982/07/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

Abstract The mechanical properties (the moduli and collapse strengths) of three dimensional cellular solids or foams are related to the properties of the cell wall, and to the cell geometry. The results of the analyses give a good description of a large body of data for polymeric foams.

Cited by

• Properties and applications of additively manufactured metallic cellular materials: A review
• Pressure Actuated Cellular Structures
• An intermediately-homogenized peridynamics approach to failure of microstructually disordered materials
• Homogenization of architected materials incorporating shearable beams
• Mechanical characterization of auxetic stainless steel thin sheets with reentrant structure
• Electrohydrodynamic redox printing vs magnetron sputtering: Enhancing hardness of nanoporous silver with twinning and structural order
• The mechanics of two-dimensional cellular materials
• Auxetic mechanical metamaterials: from soft to stiff
• Shape-to-Music: A Musical Representation for Structural Topologies of Mechanical Metamaterials
• The flow of forces through cellular materials
• Ultralight Metallic Microlattices
• Collapse and cavitation during the drying of water-saturated PDMS sponges with closed porosity
• Structure-property correlations in model composite materials
• Thermal–Structural Coupling Analysis for Multiple Honeycomb Plates Connected by Hinges
• Nonlinear dynamics of axially functionally graded, porous sandwich panel subjected to periodic non-uniform in-plane excitation
• A jigsaw puzzle framework for homogenization of high porosity foams

Related

• The mechanics of two-dimensional cellular materials
• Dynamic and static analyses of glass-like properties of three-dimensional tissues
• The flow of forces through cellular materials
• Elastic properties of highly anisotropic thin poly(propylene) foams
• Mean field elastic moduli of a three-dimensional cell-based vertex model