  We review the concept of well-posedness in the context of evolutionary
problems from mathematical physics for a particular subclass of problems from
elasticity theory. The complexity of physical phenomena appears as encoded in
so called material laws. The usefulness of the structural perspective developed
is illustrated by showing that many initial boundary value problems in the
theory of elastic solids share the same type of solution theory. Moreover,
interconnections of the respective models are discussed via a previously
introduced mother/descendant mechanism.
