cold worked components in piping

Of course any bending on a straight piece of pipe results usually in an increment of thickness in the intra-dos side and thickness reduction on extra-dos side. It's a simple question of geometry and Hooke's Law.

Anyway, the resulting thickness must comply with the design code, for example ASME B31.1 "Power piping" or ASME B31.3 "Process piping".

Usually those standards allow to bend piping by hot or cold forming provided the final thickness comply with the requirements (see for example Paragraphs 102.4.5 and 104.2 of B31.1)

Furthermore, depending on the type of pipe material grade and thickness, the code ask for a post - bending/forming heat treatment (see for example Paragraph 129 of B31.1)

So, if you are working or worried about piping stresses don't have to take nothing additional into account regardless the bending process.

But if you are involved in manufacturing process, please keep in mind the requirements of the code.

Best regards.