1. Reference problem#
1.1. Geometry#
Piping bent in plane \(\mathrm{XY}\). The straight sections are \(L=1m\) in length.
The radius of curvature of the elbow is: \({R}_{c}=1.25m\)
The tubular section has an average radius \({r}_{\mathit{moy}}=395.5\mathit{mm}\) and a thickness \(e=\mathrm{77mm}\).
1.2. Material properties#
The material is elastoplastic with isotropic linear work hardening.
\(E=2.E11\mathrm{Pa}\)
\(\nu =0.3\)
Elasticity limit \(\mathrm{SIGY}={200.10}^{6}\mathrm{Pa}\)
Work hardening module \(\text{D\_SIGM\_EPSI}={2.10}^{10}\mathrm{Pa}\)
1.3. Boundary conditions and loads#
Embedding in \(A\) (blocked beam degrees of freedom, but free ovalization degrees of freedom).
Moment \(\mathrm{MZ}\) imposed in growing \(D\):
Increment 1 |
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10 equal increments up to:
1.4. Initial conditions#
Not applicable.