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In the present paper we propose a new deterministic macroscopictheoretical approach to the strength analysis of cracked elastic bodies. By ournumerical method we try to model evaluation of the strength by two different methods:(1) by gradually increasing of the applied exterior load, up to its critical value; (2) byultrasonic through-transmission evaluation. The problem is studied under assumptionsof a scalar theory that is related to the case of anti-plane problem. We give respectivegraphs on results of computations, which aim to establish some correlation relationsbetween destructive and non-destructive testing.