Settlement Analysis of Fractional-Order Generalised Kelvin Viscoelastic Foundation under Distributed Loads

A solution is proposed for ground surface settlement induced in fractional-generalised Kelvin semi-infinite space by distributed loads, based on the fractional differential theory. The effects of four main parameters—the order, two shear moduli and coefficient viscosity—on settlements are analysed using a numerical example, parametric-sensitivity analysis conducted. results show that fractional-order generalised model more flexible than conventional integer-order since it can account rate deceleration creep phase; therefore, wider range mechanical properties viscoelastic materials be described with fewer parameters, order has higher sensitivity other three parameters. Finally, used to identify fit parameters data field-bearing plate rheological tests. model, unlike those closer measured accurately describe rock’s behaviour at test location.