Multilayer Structures under Non-Stationary Loading: Prediction of Damages and Further Operation Possibility

Abstract

Abstract Mathematical model of the complex interaction of composite structures elements is developed. A half-strip composed of two various materials is considered as a case of the composite structure. For each layer the dynamic equations of the theory of elasticity are used. An impact-impulse load is applied at the end of the structure. During the complex interaction, the conjugation of layers is carried out by conditions that ensure joint deformation, slipping (with friction) or absence of contact. The area and the contact type are determined during the solving process. This approach requires the construction of the special numerical algorithm which allows to change the boundary conditions during the calculation depending on the fulfilment of the strength criterion. The problem is solved numerically using method of characteristics. The propagation of elastic waves in the two-layer half-strip is studied. The wave field characteristics are determined in the calculated point of the layer at a given time. The calculation results are analysed in order to identify areas of the contact surface that are most prone to damage. The geometric and mechanical parameters influence on the behaviour of the structure is studied.