Homogenized model for plate periodic structure with initial stresses

In the paper a new method deriving a 2-D model of stressed plate is develop ed. The advantage of the method is that the 2-D model is derived directly f rom a 3-D model of elastic body without any simplified assumptions, hypothe sis. As a result, the method can be applied to both classical uniform homog eneous plates and non-uniform and/or non-homogeneous plates. It is demonstr ated that the 2-D plate model describing the buckling can be derived from a 3-D linearized model of stressed body. The new method derives the terms in corporating initial stresses in 2-D model from asymmetry of coefficients in constitutive equations of 3-D stressed body. (C) 2000 Elsevier Science Ltd . All rights reserved.