Optimization of structural elements met both in civil and mechanical engineering leads to the concept of a material with characteristics smoothly varying in a certain direction (functionally graded materials). An example of this material is a laminate having macroscopic properties varying in space (functionally graded laminate). The aim of this note is to propose a revisited version of the mathematical model for analyzing the effect of interlaminar microdefects on the macroscopic response of a structural element. It is assumed that the distribution of these defects is represented by its mean density per unit area of every interface.
[1] A. Bensoussan, J. L. Lions, G. Papanicolau, Asymptotic Analyzis for Periodic Structures. North-Holland, Amsterdam, 1978.
[2] S. Suresh, A. Mortensen, Fundamentals of functionally graded materials, The University Press, Cambridge 1998.
[3] M. Woźniak, On the dynamic behavior of micro- damaged stratified media, Int. J. Fract., 73 (1995), 223-232.
[4] Cz. Woźniak, E. Wierzbicki, Averaging techniques in thermomechanics of composite solids, Wyd. Politechniki Częstochowskiej, Częstochowa 2000.
[5] Cz. Woźniak, J. Rychlewska, Elastodynamics of functionally graded laminates with interlaminar microcracks, Sympozjum Mechaniki Zniszczenia Materiałów i Konstrukcji, Augustów, 1-4 czerwca 2005, 437-442.