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Article | REF: AF503 V1

Variational approach for the finite element method

Author: Pierre SPITERI

Publication date: July 10, 2002, Review date: March 25, 2022

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2. Modeling a simple elasticity problem

Consider an elastic cord of unit length, fixed at its ends, which at rest occupies a position coinciding with the axis Ox. This string is subjected to a force of density per unit length f(x) whose direction is perpendicular to the Ox axis. Under the effect of this force, the string undergoes a displacement u(x) , perpendicular to the Ox axis. In the following, we'll assume that this displacement is small. The problem boils down to determining u(x)...

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Modeling a simple elasticity problem
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