Modern constructions and buildings work not only in the multipleudstatic and cyclic terms, but also in the dynamic terms. It is well known thatudduring the dynamic loading of bodies that have connections, cracks andudother technical or structural faults, the probability of the materialuddestruction is growing. To make an exact mathematical description of theudwave field in bodies with defects is very difficult. For rating the limitedudstate of such bodies, the consideration of model problems is needed. As audresult the development of methods of solution, dynamic tasks for all-aroundudinfinite and semi-infinite bodies with cracks and connections of theudelasticity theory, is urgent as well as their exact results.
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