Publication

Numerical experiments for multiscale problems in linear elasticity

Orane Pouchon, Assyr Abdulle
2016
Conference Papers

Résumé

This paper gives numerical experiments for the Finite Element Heterogeneous Multiscale Method applied to problems in linear elasticity, which has been analyzed in [A. Abdulle, Math. Models Methods Appl. Sci. 16, 2006]. The main results for the FE-HMM a priori errors are stated and their sharpness are verified though numerical experiments.

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https://infoscience.epfl.ch/entities/publication/1a160cb3-b059-462c-841b-63050edc235d

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Orane Pouchon, Assyr Abdulle
2016
Conference Papers

Résumé

Source officielle

https://infoscience.epfl.ch/entities/publication/1a160cb3-b059-462c-841b-63050edc235d

À propos de ce résultat

Concepts associés (16)

Linear elasticity

Linear elasticity is a mathematical model of how solid objects deform and become internally stressed due to prescribed loading conditions. It is a simplification of the more general nonlinear theory of elasticity and a branch of continuum mechanics. The fundamental "linearizing" assumptions of linear elasticity are: infinitesimal strains or "small" deformations (or strains) and linear relationships between the components of stress and strain. In addition linear elasticity is valid only for stress states that do not produce yielding.

Déformation élastique

En physique, l'élasticité est la propriété d'un matériau solide à retrouver sa forme d'origine après avoir été déformé. La déformation élastique est une déformation réversible. Un matériau solide se déforme lorsque des forces lui sont appliquées. Un matériau élastique retrouve sa forme et sa taille initiales quand ces forces ne s'exercent plus, jusqu'à une certaine limite de la valeur de ces forces. Les tissus biologiques sont également plus ou moins élastiques. Les raisons physiques du comportement élastique diffèrent d'un matériau à un autre.

Price elasticity of demand

A good's price elasticity of demand (, PED) is a measure of how sensitive the quantity demanded is to its price. When the price rises, quantity demanded falls for almost any good, but it falls more for some than for others. The price elasticity gives the percentage change in quantity demanded when there is a one percent increase in price, holding everything else constant. If the elasticity is −2, that means a one percent price rise leads to a two percent decline in quantity demanded.

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