A few years ago Vanguard performed a study to see how the Barclays Aggregate Bond Index would be affected by an overnight 3% rise in interest rates (something that has never actually occurred). They calculated what would happen if rates suddenly rose from 2.1% to 5.1% and showed the impact going out 5 years:

You can see the immediate loss would be around 13% (they also noted that the worst 12 month loss ever in bonds was -13.9% in 1974). But because the yield on bonds would now be much higher, the expected return going forward would now be around 5.1% annually, meaning the breakeven would be just over 3 years. So not exactly a crash of epic proportions.

Source: How Bad Could Bond Market Losses Get?