7. F modeling

This modeling validates the use of an initial prestress state with the EPX LCAB FROT link. It corresponds to the « bm_str_lcab_frot_ini_med » and « bm_str_lcab_frot_ini_amor » tests.

7.1. Boundary conditions and loads

The 6 knots at each end of the concrete are embedded.

In addition, the model is assigned a loading of the prestress type calculated from DEFI_CABLE_BP and CALC_PRECONT. The voltage imposed on the cable is defined in DEFI_CABLE_BP by the keywords TENSION_INIT and RECUL_ANCRAGE, whose values are \(2.E7N\) and \(0.01m\) respectively. This load is sent to EPX in the form of an initial state.

7.2. Details

Two calculations are carried out. In both cases, prestress is applied in EPX without additional loading. In the first, the EQUI keyword is set to “OUI” so that EPX balances the initial state given Code_Aster. We then check that the system does not evolve. In the second, EQUI is set to “NON”. Slight damping is added to let the system balance itself.

7.3. Tested sizes and results

Calculation 1:

These tests have a ANALYTIQUE reference given the status of the system at the output of CALC_PRECONT.

Node	Component	Moment (s)	Reference Value (m)	Tolerance
\(\mathit{NY}10\)	\(\mathit{DX}\)	0.01	\(-1.46059E-04\)	\(1.E-3\)
\(\mathit{NY}10\)	\(\mathit{DY}\)	0.01	\(-3.61863E-03\)	\(1.E-3\)

Mesh	PG	Component	Component	Instant (s)	Reference Value (m)	Tolerance
\(\mathit{MCAY}10\)	1	\(N\)	0.01	\(14051238.3598\)	\(1.E-3\)

Calculation 2:

These tests have a SOURCE_EXTERNE reference.

Node	Component	Moment (s)	Reference Value (m)	Tolerance
\(\mathit{NY10}\)	\(\mathit{DX}\)	0.2	\(1.36726E-04\)	\(1.E-3\)
\(\mathit{NY10}\)	\(\mathit{DY}\)	0.2	\(-3.69190E-03\)	\(1.E-3\)

Mesh	PG	Component	Component	Instant (s)	Reference Value (m)	Tolerance
\(\mathit{MCAY10}\)	1	\(N\)	0.2	\(14278815.0\)	\(1.E-3\)