Publication

On the load-bearing efficiency of open-cell foams: A comparison of two architectures related to two processes

Andreas Mortensen, Andreas Rossoll
2013
Journal Articles

Abstract

Using a simple beam element, this study estimates the elastic stiffness of two isotropic open-cell foam architectures that approximate, respectively, the space between tightly packed fluid bubbles and that defined between densified solid particles, and finds little difference between the two microstructures above a relative density of a few per cent. (c) 2012 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

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https://infoscience.epfl.ch/entities/publication/4b4b103b-1838-4992-bb55-b17fd32f6fc3

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Andreas Mortensen, Andreas Rossoll
2013
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/4b4b103b-1838-4992-bb55-b17fd32f6fc3

About this result

Related concepts (24)

Stiffness

Stiffness is the extent to which an object resists deformation in response to an applied force. The complementary concept is flexibility or pliability: the more flexible an object is, the less stiff it is. The stiffness, of a body is a measure of the resistance offered by an elastic body to deformation. For an elastic body with a single degree of freedom (DOF) (for example, stretching or compression of a rod), the stiffness is defined as where, is the force on the body is the displacement produced by the force along the same degree of freedom (for instance, the change in length of a stretched spring) In the International System of Units, stiffness is typically measured in newtons per meter ().

Elastic modulus

An elastic modulus (also known as modulus of elasticity) is the unit of measurement of an object's or substance's resistance to being deformed elastically (i.e., non-permanently) when a stress is applied to it. The elastic modulus of an object is defined as the slope of its stress–strain curve in the elastic deformation region: A stiffer material will have a higher elastic modulus. An elastic modulus has the form: where stress is the force causing the deformation divided by the area to which the force is applied and strain is the ratio of the change in some parameter caused by the deformation to the original value of the parameter.

Elasticity tensor

The elasticity tensor is a fourth-rank tensor describing the stress-strain relation in a linear elastic material. Other names are elastic modulus tensor and stiffness tensor. Common symbols include and . The defining equation can be written as where and are the components of the Cauchy stress tensor and infinitesimal strain tensor, and are the components of the elasticity tensor. Summation over repeated indices is implied. This relationship can be interpreted as a generalization of Hooke's law to a 3D continuum.

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