A Comprehenshive Study of General Decay Results of a Swelling Soils System with Arbitrary Local Memory Effects Versus Frictional Damping

It is well known that swelling of soils, drying of fibers etc. are problems related to porous media theory, and there have been several studies by introducing continuum theories for fluids infiltrating in elastic porous media. This paper is concerned with the mixed initial-boundary value problem for swelling porous-elastic system with complementary frictional dampings and memory effects. Here, one of the novelties is: the fundamental condition that g’(t) is controlled by g(t) is removed, while the condition is a necessity in the previous literature. Expansive soil will lead to serious engineering problems, such as uneven foundation settlement, which will lead to small or large cracks in the building structure. Therefore, it is important to study the methods to eliminate or at least minimize this damage.