Abstract
In this chapter the problems related to the dynamics of a moving and oscillating moving load acting on the pre-stressed layered systems such as covering layer + half-plane, covering layer + half-space, bi-layered slab resting on a rigid foundation are studied. The studies are carried out within the scope of the piecewise homogeneous body model by utilizing of the three-dimensional linearized theory of the elastic waves in initially stressed bodies (TDLTEWISB). The cases where the initial stress-strain state is determined within the framework of the classical linear theory of elasticity and within the framework of the nonlinear theory of elasticity for highly elastic materials are considered. Materials of the constituents are modeled as isotropic as well as orthotropic ones. The problems considered in this chapter can also be classified as two and three dimensional ones. Numerical results on the critical velocity for each noted above cases are presented and discussed. The cases where the materials of the constituents are linear viscoelastic are also considered and analyzed.
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