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Saint-Venant's principle

Index Saint-Venant's principle

Saint-Venant's principle, named after Adhémar Jean Claude Barré de Saint-Venant, a French elasticity theorist, may be expressed as follows: The original statement was published in French by Saint-Venant in 1855. [1]

13 relations: Adhémar Jean Claude Barré de Saint-Venant, Asymptote, Augustus Edward Hough Love, Dipole, Elasticity of a function, Electric field, Electrostatics, French people, Green's function, Quadrupole, Richard von Mises, Shallow water equations, Torque.

Adhémar Jean Claude Barré de Saint-Venant

Adhémar Jean Claude Barré de Saint-Venant (23 August 1797, Villiers-en-Bière, Seine-et-Marne – 6 January 1886, Saint-Ouen, Loir-et-Cher) was a mechanician and mathematician who contributed to early stress analysis and also developed the unsteady open channel flow shallow water equations, also known as the Saint-Venant equations that are a fundamental set of equations used in modern hydraulic engineering.

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Asymptote

In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity.

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Augustus Edward Hough Love

Augustus Edward Hough Love FRS (17 April 1863, Weston-super-Mare – 5 June 1940, Oxford), often known as A. E. H. Love, was a mathematician famous for his work on the mathematical theory of elasticity.

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Dipole

In electromagnetism, there are two kinds of dipoles.

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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 f(x) with respect to the relative change in its input x, for infinitesimal changes from a point (a, f(a)).

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Electric field

An electric field is a vector field surrounding an electric charge that exerts force on other charges, attracting or repelling them.

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Electrostatics

Electrostatics is a branch of physics that studies electric charges at rest.

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French people

The French (Français) are a Latin European ethnic group and nation who are identified with the country of France.

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Green's function

In mathematics, a Green's function is the impulse response of an inhomogeneous linear differential equation defined on a domain, with specified initial conditions or boundary conditions.

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Quadrupole

A quadrupole or quadrapole is one of a sequence of configurations of things like electric charge or current, or gravitational mass that can exist in ideal form, but it is usually just part of a multipole expansion of a more complex structure reflecting various orders of complexity.

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Richard von Mises

Richard Edler von Mises (19 April 1883 – 14 July 1953) was a scientist and mathematician who worked on solid mechanics, fluid mechanics, aerodynamics, aeronautics, statistics and probability theory.

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Shallow water equations

The shallow water equations are a set of hyperbolic partial differential equations (or parabolic if viscous shear is considered) that describe the flow below a pressure surface in a fluid (sometimes, but not necessarily, a free surface).

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Torque

Torque, moment, or moment of force is rotational force.

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Saint-Venant principle, Saint-Venant's Principle.

References

[1] https://en.wikipedia.org/wiki/Saint-Venant's_principle

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