SIMULATION ANALYSIS OF RIGID INCLUSIONS INTERACTION IN PLATE ELEMENTS UNDER DYNAMIC LOADS

Abstract

The paper presents a simulation analysis and numerical implementation of a methodology for investigating the dynamic interaction of rigid inclusions in infinite plate elements. The problem is solved based on the combined application of the boundary integral equation method and the theory of functions of a complex variable, which allows for effective modeling of welded joints as rigid heterogeneities. The numerical implementation of the proposed approach was carried out using the method of mechanical quadratures and collocation to solve systems of singular integral equations.
A study of the influence of geometric parameters on the distribution of radial and hoop stresses in the vicinity of a system of two inclusions was performed. A comparative analysis of the dynamic stress state for cases of identical and different inclusion lengths under varying frequencies of the external load was conducted. The effects of mutual shielding and reinforcement of local stress fields depending on the topology of the elements' arrangement were established. The versatility of the developed approach for assessing the strength of thin-walled structures with complex inclusion systems is demonstrated.