A disposable flexible container for a fluent product comprises a product volume for the fluent product at least partially defined by a nonstructural panel having one or more flat spaces and one or more structural support volumes. The disposable flexible container also includes one or more surface elements generally projecting outwardly in relation to the one or more flat spaces on the nonstructural panel. Preferably, the one or more structural support volumes comprise a structural support frame configured to prevent the container from collapsing and, more preferably, they are arranged to generate and maintain tension in the nonstructural panel when they are expanded.