Lecture

Geometric Properties in Elasticity and Plasticity

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In course

ME-212: Mechanical Design I: Manufacturing Processes

Application des principales catégories de procédés de production. Modèles physiques élémentaires décrivant le comportement des principaux procédés de production. Compréhension de base des aspects économiques des procédés de production. Méthodologie de ...

Description

This lecture explores the relationship between geometric properties in the elastic and plastic domains, focusing on the Fish, Poisson, Hencky, and Consider theories. It covers the differential and integral forms of these laws, the incompressibility of plastic strains, and the synthesis of different theories. The lecture also discusses the behavior of materials with extreme hardening and provides examples of work hardening coefficients for various materials.

Instructor

Eric Boillat

Contact Microcity Phone: 41 21 69 54456 Teaching & PhD Past EPFL PhD Students as codirector Serguei Kolossov, Cédric André, Jamasp Jhabvala, Christoph Van Gestel, Tatiana Polivnikova, Nikola Kalentics Courses Industrial production processes ME-212 Application windows of the main manufacturing process categories. Implementation of simple models describing the behavior of the main manufacturing processes. Basic understanding of the economic aspects of production processes. Manufacturing proc

Official source

Ontological neighbourhood

Chemical engineering

Materials science: Deformation of materials

Related concepts (32)

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.

Elasticity (economics)

In economics, elasticity measures the responsiveness of one economic variable to a change in another. If the price elasticity of the demand of something is -2, a 10% increase in price causes the quantity demanded to fall by 20%. Elasticity in economics provides an understanding of changes in the behavior of the buyers and sellers with price changes. There are two types of elasticity for demand and supply, one is inelastic demand and supply and other one is elastic demand and supply.

Materials science

Materials science is an interdisciplinary field of researching and discovering materials. Materials engineering is an engineering field of finding uses for materials in other fields and industries. The intellectual origins of materials science stem from the Age of Enlightenment, when researchers began to use analytical thinking from chemistry, physics, and engineering to understand ancient, phenomenological observations in metallurgy and mineralogy. Materials science still incorporates elements of physics, chemistry, and engineering.

Cross elasticity of demand

In economics, the cross (or cross-price) elasticity of demand measures the effect of changes in the price of one good on the quantity demanded of another good. This reflects the fact that the quantity demanded of good is dependent on not only its own price (price elasticity of demand) but also the price of other "related" good. The cross elasticity of demand is calculated as the ratio between the percentage change of the quantity demanded for a good and the percentage change in the price of another good, ceteris paribus:The sign of the cross elasticity indicates the relationship between two goods.

Elasticity of a function

In mathematics, the elasticity or point elasticity of a positive differentiable function f of a positive variable (positive input, positive output) at point a is defined as or equivalently It is thus the ratio of the relative (percentage) change in the function's output with respect to the relative change in its input , for infinitesimal changes from a point . Equivalently, it is the ratio of the infinitesimal change of the logarithm of a function with respect to the infinitesimal change of the logarithm of the argument.

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