SSNP02 - Element of plate in plane deformations and biaxial traction (law of Norton)

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1 Titre : SSNP02 - Élément de plaque en déformations planes [...] ate : 21/12/2012 Page : 1/9 SSNP02 - Element of plate in plane deformations and biaxial traction (law of Norton) Summary: This AS-test makes it possible to test the law of NORTON by using the relation of behavior of LEMAITRE in the case of a plate in plane deformations in biaxial traction. One is interested in the plastic deformations.

2 Titre : SSNP02 - Élément de plaque en déformations planes [...] ate : 21/12/2012 Page : 2/9 1 Problem of reference 1.1 Geometry Y X oordinates of the points m : A 0., 0. 1.,0. 1.,1. 0., Properties of material Rubber band E= MPa Young modulus =0.3 Poisson's ratio LEMAITRE n=9.7 K = m =0.

3 Titre : SSNP02 - Élément de plaque en déformations planes [...] ate : 21/12/2012 Page : 3/9 1.3 oundary conditions and loadings Imposed displacement m : A : Y =0 A : X =0 Loading Uniform pressure on : 1 Uniform pressure on : 2 Ways OA, A,, E and EF from duration 30 seconds Way from duration 60 seconds Time of maintenance in A, and from 3600 seconds 2 Mpa O Mpa E F Reference solution 2.1 Method of calculating used for the reference solution The reference solution was obtained with various codes calculations finite elements using various explicit, semi-implicit or implicit algorithms [2] 2.2 Reference variables EPXX : plastic deformation according to X EPYY : plastic deformation according to Y

4 Titre : SSNP02 - Élément de plaque en déformations planes [...] ate : 21/12/2012 Page : 4/9 2.3 Size and result of reference Moment s omponent Reference 30. EPXX EPYY EPXX EPYY EPXX EPYY EPXX EPYY EPXX EPYY EPXX EPYY EPXX EPYY ibliographical references [1] Guide of Validation of the Software packages of alculations of the Structures: SFM, technical AFNOR, ISN: [2] Validation of computer codes in viscoplasticity: Report of a scientific interest group. (GIS), ONERA France, 1989

5 Titre : SSNP02 - Élément de plaque en déformations planes [...] ate : 21/12/2012 Page : 5/9 3 Modeling A 3.1 haracteristics of modeling A Y NO4 MA2 NO3 Modeling _PLAN : NO1 MA1 NO2 X Many nodes 4 Many meshs 4 That is to say: Group of meshs: ROITE : segment HAUT : segment SEG2 2 TRIA Sizes tested and results Mesh Not Moment s omponent Reference EPXX EPYY EPXX EPYY EPXX EPYY

6 Titre : SSNP02 - Élément de plaque en déformations planes [...] ate : 21/12/2012 Page : 6/9 MA1 1 4 Modeling haracteristics of modeling Y NO7 NO8 NO6 MA2 NO9 NO5 NO4 Modeling _PLAN: NO1 MA1 NO2 NO3 X Many nodes 9 Many meshs 4 That is to say: Group of meshs: ROITE HAUT : segment : segment SEG3 2 TRIA Sizes tested and results Mesh Not Moment s omponent Reference EPXX EPYY EPXX EPYY

7 Titre : SSNP02 - Élément de plaque en déformations planes [...] ate : 21/12/2012 Page : 7/9 5 Modeling MA EPXX EPYY haracteristics of modeling Y NO7 NO6 NO5 NO8 MA1 NO4 Modeling _PLAN : NO1 NO2 NO3 X Many nodes 8 Many meshs 3 That is to say: Group of meshs: ROITE : segment HAUT : segment SEG3 2 QUA Sizes tested and results Mesh Not Moment s omponent Reference EPXX EPYY

8 Titre : SSNP02 - Élément de plaque en déformations planes [...] ate : 21/12/2012 Page : 8/9 6 Modeling MA EPXX EPYY EPXX EPYY haracteristics of modeling Identical to modeling A. the behavior used is Norton, with implicit integration (NEWTON_PERT) The reference solution is identical to modeling A. 6.2 Sizes tested and results Mesh Not Moment s omponent Reference MA1 1 7 Modeling E haracteristics of modeling E EPXX EPYY EPYY EPXX EPYY EPXX EPYY Identical to modeling A. the behavior used is Norton, with integration ex plicite ( RUNGE_KUTTA ) The reference solution is identical to modeling A. 7.2 Sizes tested and results

9 Titre : SSNP02 - Élément de plaque en déformations planes [...] ate : 21/12/2012 Page : 9/9 Mesh Not Moment s omponent Reference MA EPXX EPYY EPXX EPYY EPXX EPYY Summary of the results The got results are satisfactory.

SSLS122 - Rectangular isotropic homogeneous plate offset

Titre : SSLS122 - Plaque homogène isotrope rectangulaire e[...] Date : 14/12/2017 Page : 1/13 SSLS122 - Rectangular isotropic homogeneous plate offset Summary: This CAS-test makes it possible to test the