Problem of plane strain state of two-layer body in dynamic elastic-plastic formulation (Part II)

Abstract

Composite materials are widely used in industry and everyday life. Mathematical modelling of composite materials began to be actively developed in the 50s and 60s of the last century. Composite materials began to be actively used in industry only at the end of the 70s of the last century. From that time to this day, interest in composite materials has not weakened, and the demands of modern industry and production are constantly increasing. The areas and branches of application of composite materials are expanding. Many different methods are used to calculate and develop composite materials. This article is part two of the previous article, where there is an investigation of the contact problem of the interaction of a striker with a two-layers composite base in a dynamic elastic-plastic mathematical formulation. This composite base is rigidly attached to an absolutely hard half-space. Its first (top) layer is made of steel, and the second (bottom) layer is made of glass. Glass is a widely available cheap amorphous material, the properties of which cannot be degraded as an result of aging, corrosion, and creep processes. The glass layer can be strengthened by reinforcement and hardening. Therefore, composite materials made on the basis of glass are important in modern production; their use gives a great economic benefit. Rigid adhesion of the layers to each other is assumed. The impact process was modelled as a non-stationary plane strain state problem with an even distributed load in the contact area, which changes according to a linear law. The fields of the Odquist parameter and normal stresses were studied depending on the size of the contact area. In this article as in part I for the design of composite and reinforced material the non-stationary contact problem of plane strain state has been solved in more precise elastic-plastic mathematical formulation. To consider the physical nonlinearity of the deformation process, the method of successive approximations is used, which makes it possible to reduce the nonlinear problem to a solution of the sequences of linear problems.
 In contrast to the previous article (Part I), in this papers there is an investigation of the strain-stress state, the fields of the Odquist parameter and normal stresses depending on the thickness of the first (upper) steel layer.