 
          3006
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          
        
        
          The shear stress-strain curve of the MSW shows a
        
        
          noticeable hardening (Grisola et al., 1996; Jessberger et al.,
        
        
          1993; Eid, 2000; Zhan et al., 2008), and a horizontal
        
        
          asymptotic level is not reached even with large
        
        
          deformations. So it is necessary to define a certain level of
        
        
          deformation in which it is assumed that the failure situation
        
        
          is being reached.
        
        
          3 METHODS FOR OBTAINING MSW STRENGTH
        
        
          The methods for obtaining cohesion and frictional angle
        
        
          parameters can be grouped in three kinds: laboratory test, in-situ
        
        
          test and back-analysis of actual failures.
        
        
          
            3.1 Laboratory tests
          
        
        
          
            3.1.1 Sample conditions
          
        
        
          Although laboratory tests are the most direct method for
        
        
          obtaining the strength parameters of a material, they show
        
        
          several problems that make difficult both their usage and the
        
        
          subsequent interpretation when working with MSW.
        
        
          The first problem is to find representative samples. Samples
        
        
          obtained in the same landfill show a large dispersion in
        
        
          composition due to the heterogeneity of the waste mass. Some
        
        
          research has been done on “synthetic” samples, reconstituted
        
        
          with the average composition of the MSW mass in the landfill
        
        
          region or country (Sivakumar Babu et al., 2010).
        
        
          On the other hand, among the MSW there are elements with
        
        
          a medium to large size. So it is necessary to take large samples,
        
        
          this is quite easy for MSW that have just arrived to the landfill,
        
        
          or for recently disposed and superficial waste, but makes it
        
        
          necessary to bore large diameter bore-holes (over 760 mm in
        
        
          diameter) (Bray et al., 2009) for deep waste.
        
        
          It is very hard to take undisturbed samples from MSW,
        
        
          particularly at great depth. Densification is produced during the
        
        
          sampling process due to the large deformability of MSW.
        
        
          Because of the low cohesion, the loose nature of the material
        
        
          and the differences in size and stiffness among the different
        
        
          constitutive elements, alterations and collapses are produced
        
        
          during the sampling and trimming operations.
        
        
          For these reasons, tests are made using samples prepared
        
        
          and compacted to in-situ density and moisture content, and with
        
        
          the prevailing composition. The uncertainties associated to these
        
        
          conditions make that this procedure can be only considered as
        
        
          an approximation of actual landfill conditions. Besides, the
        
        
          elements with a size over 1/5-1/10 of the minimum size of the
        
        
          specimen to test, usually fibrous materials such as paper, plastic,
        
        
          wood or metallic pieces, have to be removed or cut to fit this
        
        
          size in order to not interfering with the movement of the test
        
        
          equipment invalidating the results obtained. Furthermore, the
        
        
          tensile strength of fibrous elements introduces an anisotropic
        
        
          behaviour, making the strength obtained in the test depend on
        
        
          the preferred direction of the fibres (Bray et al., 2009).
        
        
          
            3.1.2 Test types
          
        
        
          The tests used to obtain strength parameters are direct shear,
        
        
          triaxial and simple shear tests.
        
        
          From 23 research works revised by Stark et al. (2009), dated
        
        
          from 1990 to 2005, 48% used laboratory direct shear tests, 22%
        
        
          triaxial tests, and just one simple shear tests. The rest of them
        
        
          are in-situ direct shear tests. Recently, Bray et al. (2009) have
        
        
          presented the results of simple shear tests on 400x300 mm
        
        
          rectangular samples.
        
        
          In general test specimens have a relative large size. It is
        
        
          frequent for the direct shear test probes to have a length of 300
        
        
          millimetres or more and using triaxial specimens with over
        
        
          200mm in diameter. Besides, the test equipment has to be
        
        
          prepared to provide large deformations. This circumstance is
        
        
          stated on plenty of the revised researches, and makes it
        
        
          necessary to modify the original design of the equipment.
        
        
          
            3.1.3 Other aspects
          
        
        
          In tests on MSW samples, the applied shear stress increases
        
        
          monotonically with deformation, and in most cases a maximum
        
        
          or asymptotical value is not reached even with the application of
        
        
          large displacements. The plots shown in Figures 1 and 2 belong
        
        
          to a compilation of results from several authors made by Stark
        
        
          et al. (2009). It is shown that shear stress does not grow only
        
        
          with the applied normal stress, but it also increases with the
        
        
          deformation or the displacement reached. Those authors
        
        
          attribute this behaviour to the reinforcement action of the
        
        
          wastes’ fibrous elements when deformation increases.
        
        
          Figure 1. Summary of direct shear lab tests (Stark et al., 2009)
        
        
          Figure 2. Summary of triaxial lab tests (Stark et al., 2009)
        
        
          It has to be taken into consideration that in regular landfill
        
        
          operation the possible deformation is much smaller than during
        
        
          a test. Movement compatibility between MSW and the more
        
        
          rigid sealing layers, and also with the deformation limit of
        
        
          draining elements, gas evacuation elements, etc., limits waste
        
        
          deformation to acceptable levels, forcing the definition of
        
        
          strength parameters to an imposed deformation value (Machado
        
        
          et al., 2002).
        
        
          The environmental conditions where the laboratory tests are
        
        
          conducted are problematic because of the odour and the
        
        
          hazardous sample management, making necessary to fit out a
        
        
          specific area, isolated from the rest of the laboratory. In some
        
        
          research it is necessary to carry out most of the tests in facilities
        
        
          belonging to the landfill grounds.
        
        
          The difficulty in obtaining truly representative samples and
        
        
          test environmental conditions affects negatively to the
        
        
          possibility to undertake systematic shear strength laboratory test
        
        
          campaigns. The revised bibliography shows that there are a
        
        
          scarce number of tests executed for the amount of means
        
        
          mobilized (Bray et al., 2009, Sivakumar Babu et al., 2010).