We are rapidly approaching an inflection point in the adoption of electric vehicles on the roads. All major automotive companies are having well-funded plans for mass market affordable branded EV product line models, which can open the floodgates. A rapid growth of battery energy density, accompanied by an aggressive progress of reduction of costs of lithium-ion batteries, brings safety concerns. While more energy stored in the battery pack of an EV translates to a longer range, the downside is that accidents will be more violent due to battery inevitable explosion. With today's technology, severe crashes involving intrusion into the battery pack will potentially result in a thermal runaway, fire, and explosion. Most of research on lithium-ion batteries have been concerned with the electrochemistry of cells. However, in most cases failure and thermal runaway is caused by mechanical loading due to crash events. There is a growing need to summarize the already published results on mechanical loading and response of batteries and offer a critical evaluation of work in progress. The objective of this paper is to present such review with a discussion of many outstanding issues and outline of a roadmap for future research.