Ek Ed Er Ep Eq Eh

In equations ?? and 4.42, {r} is the vector of the nonlinear restoring force. The absolute kinetic energy is EK, the viscous damping energy is ED, the nonlinear restoring work is ER, the work of preseismic applied force is EP, the absolute seismic input energy is EQ and the work done by the hydrodynamic pressure is EH. The relative displacement is {U} while {Ut} is the total (absolute) displacement vector {Ut} = {U} + {Ug}. {Ug} is the ground displacement vector. The restoring energy, ER contributes to the stored elastic energy in a system EE, and the energy dissipated due to fracture EF(EF = ER — EE), Thus:

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