PSI - Issue 17

Elena M. Strungar et al. / Procedia Structural Integrity 17 (2019) 965–970 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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representation was used: To assess the inhomogeneous deformation fields obtained using the video system, a sample of the type of reinforcement 2, which has the highest modulus of elasticity, was considered. When calculating the fields of longitudinal (  yy), transverse (  xx) and shear deformations (  xy), the finite deformation tensor in the Lagrange representation was used: ( ) , , , , ij i j j i k i k j U U U U  = + + + (1) In this case, the Oy axis is directed along the specimen (along the stretching axis), the Ox axis is perpendicular to the loading axis in the specimen plane. Figure 1 shows the fields of inhomogeneous deformations on the sample surface at different loads. 1 2

a c Figure 1 . The fields of transverse ε xx (a), shear ε xy (b) and longitudinal deformations ε yy (c) on the sample surface with a load of P 1 = 47 kN, P 2 = 50 kN, P 3 = 51 kN It should be noted that the inhomogeneity of the deformation fields is due to the structural inhomogeneity of the material and, accordingly, structural anisotropy, as well as the presence of a hole that provokes a certain concentration of deformations. The presented technique was applied to check the deformation of composite materials in modeling. Modeling the mechanical behavior of these materials, taking into account their features, had the goal of creating a tool for analyzing and designing structures in the future. To simplify the numerical study and also due to the presence of two symmetry planes in the sample only a quarter of the sample was considered, which geometry and boundary conditions are shown in Figure 2 a: on the left side of the plate transition along the y axis was prohibited; transition along the x axis on the plates top side was also prohibited. A tensile load was applied to the right face in the form of displacement along the y axis. b 4. Modeling