When a calm and productive resolution can’t be reached in a situation like this, it is most important to try and stick to the facts and reconcile with what reality is. If something is impossible to be done in shorter amount of time without reducing quality and the deadline is short, then reality must set in that the original plan was not a good one if it did not take this time into account. Once reality and the facts are seen, working off of that a new plan must be made (Ex. A good study takes 6 months, but they want it in 4. Do it in 6 because that is what is best). Trying to push something that is impossible to fit into a small timeframe often leads to double work later and more frustrations. I’ve seen this where manufacturing plants are asked to do impossible things (like produce and quality check whole lots of product within days) and are given flak for not delivering. It was not until they explained the processes what was feasible to the management that they had the pressure lifted off of them.