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: v . <br /> The maxim in tensile strain-generated bar the differential settlements was exami <br /> evaluate the integ 'ty of a composite liner, which included a geomembrane and a clay�c. <br /> The geoinembrane -can sustain tensile strains higher than those that the clay component of <br /> composite Liner ca sustain before tensile failure or tension -thecracks develop within cl <br /> component. Ther fore, the tensile strain limit of the clay component can be used as <br /> acceptable design c 'tenon to evaluate the integrity of composite liners. <br /> From the m - 'mum tensile strains versus sdd' /waste thickness M characteristic cury <br /> a soil layer thieknes (T) equals to 2.7 in(9 feet), the maximum tensile strain caused by the 0 <br /> m (3 foot) wide by 0.9 m (3 foot) deep by 1.9 in (6 foot) Iong void is.0.2 percent. This s-tra <br /> is within acceptable limits for a clay layer as illustrated on Figure 5 from Gilbert and Murpl <br /> (6). . ; <br /> On the basis f the above a :`• <br /> le analysis, a 2.3 m.(9 foot) thick-soil/waste.layer ct <br /> serve as a strarn tri ition zone to prevent grade reversal, excessive tensile strains and stresst <br /> developed in a liner stem. Therefore, a 2.7 in (9 foot) thick *er of soil or_"select" wast <br /> can be placed, in thi example, bef®rc constructing the vertical landfill containment liner. <br /> Su�mmary For slope angles either than the 7 percent used in the example analysis, the tensil <br /> strains andential or <br /> p� grade reversal on a liner surface can be evaluated according to th <br /> thickness versus m i - um tensile strain and thickness versus liner grade characteristic curve.- <br /> settlement contours ai d containment liner design criteria. From this evaluation, the requim. <br /> backfill thicknesses in different liner grades and liner systems can be determined and des-i <br /> to prevent grade rever al and excessive tensile strains on a vertical expansion liner and lead <br /> collection system. <br /> CONCLUSIONS <br /> The Elastic Met iod provides a conservative and efficient method to evaluate the potentia <br /> differential settlement used by a void within an existing landfill when a vertical expansion o: <br /> the landfill is planned. The results from this method closely agree with the results from Bri-tisl <br /> NCB's field mining s- -sidence -surveys. The method provides a conservative estimate of the <br /> potential differential se tlement, and therefore can be used to design a vertical expansion liner <br /> system. <br /> Characteristic curves of thickness over the void (T) versus maximum-tensile strain, and <br /> of thickness (T) versus in laximum differential settlement slope can be developed for specific void <br /> size, as shown in the ex ImPle presented in this paper. These characteristic curves can then be <br /> used for the design of c ntai-nment liner systems in a landfill vertical expansion. <br /> As shown in the <h-aracteristic curves provided, the differential settlement diminishes as <br /> the soil/waste thickness : ver the void increases. Thus, it is possible -to increase the distance <br /> between the potential vo d and the surface of the liner, to reduce the differential settlement to <br /> Gcosyndn cs'93-Vancouver,Canada- 1507 <br />