The theory of plasticity is the branch of mechanics that deals with the calculation of stresses and strains in a body, made of ductile material, permanently deformed by a set of applied forces. The theory is based on certain experimental observations on the macroscopic behavior of metals in uniform states of combined stresses. The observed results are then idealized into a mathematical formulat...

The mechanical behavior of a metallic sandwich sheet material composed of two flat face sheets and two bi-directionally corrugated core layers is analyzed in detail. The manufacturing of the sandwich material is simulated to obtain a detailed unit cell model which accounts for the non-uniform thickness distribution and residual stresses associated with the stamping of the core layers. Virtual e...

The common engineering practice is the selection of certain physical factors such as geometry, loading, boundary conditions, and material properties. In reality these data are more or less uncertain. In many engineering problems this uncertainty should be taken into consideration. Fuzzy set theory allows to determine randomness model response to the external loading. Two methods extension princ...

An analytical model of a steel strip under alternate bending/reverse bending during roller leveling process is developed. A combined isotropic/kinematic hardening implemented through parameter. formulation the change effective stress as function strain cyclic loading with developed to predict distributions and residual curvature efficiently accurately. Dissimilar commonly used assumption one co...

The paper reports on finite element method (FEM) analysis of Cu–SiC composites behaviour under cyclic loading conditions. In order to emphasise the influence of materials description on following results, there were two hardening rules used to describe the plastic behaviour of the matrix: (a) simple isotropic and (b) combined isotropic-kinematic. Reinforcing ceramics was assumed to be perfectly...

A common belief in phenomenological strain gradient plasticity modeling is that including the of scalar variables constitutive setting leads to size-dependent isotropic hardening, whereas second-order tensors induces kinematic hardening. The present paper shows it also possible produce hardening using scalar-based theory. For this purpose, a new model involving equivalent plastic developed and ...