According to Discovering the World through Debate, "argument structure" refers to the way, "The way evidence and warrants are arranged to support a claim" (246). Related terms include: convergent argument structure, Independent Argument Structure, and simple argument structure. While different debate formats, forms of communication (speech or writing), contexts (formal and informal) and receivers (judges, voters, family, or friends) may alter the way an argument is delivered, the basic structure of an argument, in principle, remains relativley stable.
Trapp, Robert, et al. Discovering the World through Debate: A Practical Guide to Educational Debate for Debaters, Coaches, and Judges. Third Edition. New York: IDEA Press Books, 2005.