Page 272 - 360.revista de Alta Velocidad - Nº 5
P. 272

Álvarez, Fernando. Balmaseda, Lucía. Gallego, Inmaculada. Rivas , Ana. Sánchez-Cambronero, San




                 With all these aspects, the models under study have been elaborated according to the following
                 criteria:


                 1.  All models will maintain the constitutive model of elastic behaviour for the Rail, Bearing
                    plates and Sleepers due to their high stiffness.

                 2.  The  comparison  between  elastic  and  elastoplastic  behaviour  models  will  only  refer  to
                    granular materials of the railway section.
                 3.  The sensitivity analysis will be performed by varying the value of the internal friction angle
                    corresponding to the Subballast and the Formation layer.


                 Table 2 shows, in summary, all the models or cases of analysis to be analysed, according to the
                 behaviour of the granular materials, the existence or not of confining ballast and the episodes
                 of load to be considered.


                              Table 2. Summary of characteristics of the models to be studied.

                                            Constitutive
                      Model                                           Confining ballast       Load step
                                      model-Infrastructure later
                       #1                         Elastic                      Yes                LS2
                       #2                         Elastic                       No                LS2
                       #3             Elastoplastic (Φ , Φ  )                  Yes          LS1+LS2+LS3
                                                     1  1
                       #4              Elastoplastic (Φ ,Φ  )                   No          LS1+LS2+LS3
                                                     1  1
                       #5             Elastoplastic (Φ , Φ  )                  Yes          LS1+LS2+LS3
                                                     2  1
                       #6             Elastoplastic (Φ , Φ  )                   No          LS1+LS2+LS3
                                                     2  1
                       #7             Elastoplastic (Φ , Φ  )                   No          LS1+LS2+LS3
                                                     1  2
                       #8             Elastoplastic (Φ , Φ  )                   No          LS1+LS2+LS3
                                                     2  2
                 4.    Results


                       4.1     Adjustment model

                 During the resolution of the numerical model that considered the linear elastic behaviour of
                 all the materials of the platform, it was detected that the vertical compression stresses in the
                 ballast under the loaded sleeper reach values well below the usual ones of 100 to 120 kPa,
                 obtained in experimental observations performed for High-Speed sections in Spain (Gallego, et.
                 al., 2013). This could be because, considering the ballast as a linear elastic material, makes the
                 ballast elements located above the support plane of the crossbeam oppose the compressions
                 that occur in said plane, generating tensions that They decrease the value of the compressions
                 that are given in the sleeper-ballast interface. To solve the problem we defined the following
                 strategies to consider for the numerical model:


                 1.  Eliminate the ballast that confines the sleepers in the longitudinal and transverse direction
                    of the track, see Fig. 2.
                 2.  Assume  in  the  ballast  a  law  of  elastoplastic  behaviour,  without  cohesion,  to  avoid  the
                    appearance of tractions in the same.



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