Now, this is a very interesting, multi-faceted, question.
Did your insurance company advise you to bring your car to a specific shop? If so, and your suspicion is proven you may have recourse against your insurance company or the insurance company that paid for the repairs (if it was paid by some company other than yours) plus there are a variety of other legal remedies available to you.
If your inusurance company did not advise you to bring your car to a specific shop you still have a variety of legal remedies available.
If your car was repaired in a fashion that you suspect is unsafe or fraudulent it would require an inspection, analysis and report to commence a civil proceedure or launch a criminial complaint and prosecution.
Any shop that intentionally performs bad or unsafe repairs or does not supply you with the parts and/or service that have been "estimated, billed and paid for" is committing Fraud!
If your insurance company specified "non-original"* or "replacement"* parts or you have not been compensated for loss of value (due to the vehicle having been involved in a major collision or comprehensive loss) you also have recourse against your insurance company plus a variety of other legal remedies available to you.
(*)a "Non-Original" or "replacement" part often appears on your estimate ironically described as a "quality part" in the column of your estimate where the description is or where the OEM part number should be.
(*)These parts are usually anything BUT quality. They are most times manufactured in some Asian Country, e.g.Taiwan, China, Korea, etc. and are actually cheaper, "poor" quality, parts that will not stand up nor crash test like the Original (OEM) part.
There is much Case Law in States
across the U.S., both pending and settled, on this subject involving insurance companies for this very reason. Many cases been resolved and many more that have not yet been resolved.
(*)In most instances the insurance companies that had been proven to specify replacement or non-original parts be placed on insureds' vehicles have been ordered to make multi-million dollar restitution type settlements.
Contact us if any of any of these situations have occurred.