Computer modeling of pipe with various types of corrosion defects (spherical, cylindrical and mixed) is considered. Comparison of undamaged pipe modeling results with the results of analytical calculation showed their good conformity. Change of a stress-strain state of the model loaded with internal pressure in the vicinity of defects of various types was studied. It is shown that cylindrical damage of pipe internal surface causes occurrence of compressing circumferential stresses, that also was obtained as the result of tests by internal pressure of a pipe section.