Integral equations in solid mechanics
The Theory of Singularities. A Complement to Local Finite Element Models in Physics
Article REF: AF5070 V1
Integral equations in solid mechanics
The Theory of Singularities. A Complement to Local Finite Element Models in Physics

Author : Yves GOURINAT

Publication date: January 10, 2019 | Lire en français

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1. Integral equations in solid mechanics

This section presents the method on an elastostatic problem, detailing all the mathematical principles involved.

1.1 Reference elastic problem

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1.1.1 Planar harmonic domain

Torsion gives rise to a harmonic problem, through the warping function φ(Y,Z) in the straight section (shear stress potential). To fix ideas, let's consider an axis beam carried by the unit vector X→...

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