Abstract: According to the basic idea of dual-complementarity, in a simple and unified new way proposed by the author￣1 , some basic principles in dynamic theory of thermoelastic materials with voids can be established systematically. In this paper, an important integral relation in terms of convolutions is given, which can be considered as the generalized principle of virtual work in mechanics. Based on this relation, it is possible not only to obtain the principle of virtual work and the reciprocal theorem in dyn...