Abstract
In this Chapter an analytical technique is presented for studying discreteness effects in continuous systems with microstructure or discrete loading effects. Discreteness effects are points of nonsmoothness (loss of some degree of differentiability) in the response of the dynamical system due to singularities in the governing equations of motion caused either by microstructure (for example, periodic inhomogeneities in the material or discrete supports) or by the forcing distribution (for example, non-smooth force distributions such as point loads).
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