For destructive degradation using JMP 12, select Select Analyze > Reliability and Survival > Destructive Degradation. The platform models how a (typically) nonnegative response changes over time. Observations are assumed to be independent and measure the value of the response and the time at failure. A large and flexible collection of pre-defined models is provided. The models include location-scale and log-location-scale distributions whose location parameters are functions of time and allow explanatory variables and additional parameters. For details see http://www.jmp.com/support/help/Example_of_the_Destructive_Degradation_Platform.shtml#493800
If you need a model that is not represented among the models provided using the JMP 12 Destructive Degradation platform, you can also use the Degradation platform mentioned above (Analyze > Reliability and Survival > Degradation, then select the Destructive Degradation tab).