University of Birmingham > Talks@bham > Applied Mathematics Seminar Series > Plants and Fat Pads: The Elasticity of Cellular Bodies in High Deformation

Plants and Fat Pads: The Elasticity of Cellular Bodies in High Deformation

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Cellular bodies are strong, load-bearing structures, built from seemingly fragile materials. Among the best known mechanical qualities of these structures are their high strength-to-weight ratio and energy absorption capacity, which arise from the inextricable relation between the geometric architecture and the nonlinear elastic responses of their constituents. In many cellular structures, during functional deformations, large strains and stresses also occur, and their mechanical analysis requires appropriate theoretical treatment. In this talk, I will show how, for hyperelastic cellular bodies, several main factors determine the magnitude of the enhancement of stress level in the cellular material, including the cell geometry, the cell wall thickness, and the presence of cell inclusions, and address the important question whether the same volume of material has the same effect when arranged as many cells or as fewer cells while the material volume remains fixed.

This talk is part of the Applied Mathematics Seminar Series series.

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