The phrase "putting upon" can be defined as imposing or burdening someone with a task or responsibility. There are a number of synonyms for this phrase, including dumping, dumping on, foisting, imposing, laying upon, saddling, and thrusting. These words all describe actions that involve placing a weighty obligation on someone else, often without their consent or without considering their ability to handle it. While each of these words has slightly different nuances, they all suggest a sense of unfairness or injustice in the way the task or responsibility is being assigned. When someone is "putting upon" another person, it is generally seen as an unwelcome and unfair action.