Mining Mirror April 2019 | Page 23

Mining in focus With the growth of computer power available to practitioners and researchers, the development of finite element theories became practically possible. the actual failure, as some form of plasticity behaviour (that is, limiting stresses) is required to model failure conditions. Critical state soil mechanics Hard data from the field have also contributed to our understanding of TSFs — by informing our technology-driven modelling. In the 1960s, the inventory of field and laboratory test results were used in developing the theory of critical state soil mechanics. Over the next 20 years, the theory of critical state soil mechanics gained general acceptance, forming the basis of our understanding of clay soil behaviour. This theory was in turn applied to the behaviour of sandy soil. These theories were extended in the past 20 or so years to develop even more sophisticated elastoplastic models that include strain hardening and softening models. As computing power and models developed in the 1970s, they were put to good use addressing practical problems in soil mechanics such as seismic behaviour, static liquefaction, and progressive failure. The results improved in each decade as the models improved. Almost realistic seismic behaviour modelling of dams using elastoplastic models began in the 1970s, and the software gradually evolved to be able to model tailings dams as well. The first methods developed for slope stability assessment were limit equilibrium slope stability methods; for some of these, closed-form mathematical solutions could be developed, and many problems could be solved without significant computing power. However, they assume that the failure surface will develop at the same time in all materials through which the failure surface passes. For geotechnical materials with different stiffnesses and failure paths, this assumption would not apply. With the growth of computer power available to practitioners and researchers, the development of finite element theories became practically possible. These evolved from linear elasticity and non-linear elasticity, to simple elastoplastic models and later to more sophisticated elastoplastic models which included critical state theory models. More recently, even more sophisticated models emerged, considering strain hardening and softening. Each of these have made a contribution to the way we have approached TSFs, although there are weaknesses. With linear elasticity, for example, there are two reasons that constrain its application. In the first place, most natural geotechnical materials do not have a linear elastic stress strain curve, so a linear elastic model can only approximate the behaviour of natural materials at certain parts of the stress strain curve. Secondly, it cannot model Advances in technology promise to pave the way to safer and more environmentally sound tailings storage practices. www.miningmirror.co.za APRIL 2019 MINING MIRROR [21]