1. Reference problem#
1.1. Geometry#
The structure studied is a \(375\mathrm{mm}\) long bar. Since the problem is purely \(\mathrm{1D}\), his section has no influence.
1.2. Material properties#
In modeling A, the material obeys a law of fragile elastic behavior (ENDO_SCALAIRE) with a damage gradient (modeling *_ GRAD_VARI).
ELAS |
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E= \(30000\mathrm{MPa}\) NAKED = \(0\) |
SY= \(3\mathrm{MPa}\) GAMMA = \(4\) |
C_ GRAD_VARI = \(1.875N\) PENA_LAGR = \(1.5\) |
In modeling B, the material obeys a law ENDO_FISS_EXP for which the following parameters are entered: E = 30,000 Mpa, NU = 0, ft = 3 MPa, fc=30 MPa (without affecting the 1D result), Gf=0.1 N/mm, p=1.5, D=50 mm (without affecting the 1D result), Gf=0.1 N/mm, p=1.5, D=50 mm.
1.3. Loading conditions#
The left part of the bar (\(125\mathrm{mm}\) long) is forced to remain rigid (blocking the degrees of freedom of movement). As for the right part of the bar, it is subject to a uniform axial deformation \({\varepsilon }_{0}\), that is to say to an imposed displacement whose spatial distribution is linear. A single parameter therefore controls the intensity of the load: the level of deformation imposed \({\varepsilon }_{0}\).
In the directions perpendicular to the axis of the bar, the movements are blocked: the problem is purely \(\mathrm{1D}\). Furthermore, as the Poisson’s ratio is zero, no clamping stress develops in these directions.