Elastodynamic Analysis:Lecture notes for the course“Elastodynamics”

This book contains the lecture notes for the 9th semester course on elastodynamics. The first chapter gives an overview of the basic theory of stress waves propagating in viscoelastic media. In particular, the effect of surfaces and interfaces in a viscoelastic material is studied, and different mechanisms influencing the wave propagation are discussed. Chapter 2 deals with the finite element formulation of elastodynamics. The emphasis of the chapter lies on the discussion of time integration and spatial discretization of wave propagation problems. Further, a formulation is given of transmitting boundary conditions which must be applied at the artificial boundaries of the numerical model. Finally, the treatment of moving sources, e.g. vehicles, in a finite element model is discussed. The finite element method is very adaptable, but the solution of large soil domains is computationally expensive. Thus, in Chapter 3, an alternative semi-analytic method is derived, which may be applied for the analysis of layered half-spaces subject to moving or stationary loads.This book contains the lecture notes for the 9th semester course on elastodynamics. The first chapter gives an overview of the basic theory of stress waves propagating in viscoelastic media. In particular, the effect of surfaces and interfaces in a viscoelastic material is studied, and different mechanisms influencing the wave propagation are discussed. Chapter 2 deals with the finite element formulation of elastodynamics. The emphasis of the chapter lies on the discussion of time integration and spatial discretization of wave propagation problems. Further, a formulation is given of transmitting boundary conditions which must be applied at the artificial boundaries of the numerical model. Finally, the treatment of moving sources, e.g. vehicles, in a finite element model is discussed. The finite element method is very adaptable, but the solution of large soil domains is computationally expensive. Thus, in Chapter 3, an alternative semi-analytic method is derived, which may be applied for the analysis of layered half-spaces subject to moving or stationary loads