The background of Non-Linear Continuum Damage Mechanics is presented f
or the case of one-dimensional tensile stresses. A brief critical anal
ysis of the existing methods of non-linear damage models construction
is given. A new approach to the damage theory development based on the
''separability'' principle is suggested. The condition of non-lineari
ty and the criterion of long-term failure are formulated. The non-line
ar damage constitutive equations for static and cyclic loading, allowi
ng one to take into account the loading history, are proposed on this
basis. Within the framework of the approach suggested the problems of
total and residual lifetime calculation under additional loads and par
tial unloads are solved. The predictions are compared with experimenta
l data obtained using some particular hear-resistant materials. Copyri
ght (C) 1996 Elsevier Science Ltd.