Neuber’s rule accounting for the material nonlinearity influence on the stress concentration of the laminated composites

Abstract

Since holes comprise the necessary features of many structural components, a comprehensive understanding of the behavior of composite plates containing an open hole is a crucial step in their design process. In the present manuscript, an extensive numerical study has been conducted in order to investigate the effects of material nonlinearity on the stress distribution and stress concentration factors in unidirectional and laminated composite materials. To attain this objective, various models with different configurations were studied. In unidirectional composites, the maximum deviation of stress distribution around the hole (from the linear solution) happens in 45° lamina in which includes a high level of shear stress. However, the maximum difference in the stress concentration factor occurs in 15° lamina and is 15.1% at the onset of failure. In composite laminates, the maximum deviation of nonlinear stress concentration factor from the linear solution is reported 24.3% and it occurs in [+45/−45] s laminate. In the last section, Neuber’s rule is employed to find the stress concentration factors of the laminated composites, with a reasonable accuracy.

Solution of the problem of the theory of elasticity and analysis of the stress state of a fibrous composite layer under the action of transverse compressive forces

“…The proposed analytic-numerical solution method uses the generalized Fourier method. This allows -to obtain high-precision results, which prefers the accuracy of calculations over works [5][6][7][8][9];…”

“…In [7], an analysis was made of the fracture of woven glass/epoxy composite laminates with a notch under tensile load. In [8], for different models with different configurations, an analysis was made of the influence of material nonlinearity on the stress distribution and stress concentration factors in unidirectional and layered composite materials. In [9], a complex numerical analysis was carried out to assess the accuracy of the Tan model for obtaining the stress concentration factor for a composite of finite dimensions containing an open hole.…”

“…The influence of the plate length on the stress distribution around the hole is studied. However, it should be noted that the approximate methods used in these works [5][6][7][8][9] do not provide confidence in the calculation when a highly accurate result is required.…”

Bearing failure of single-/double-shear composite bolted joints: An explicit finite element modeling

“…Material models were further developed for the shear response on the basis of the experiments, which were subsequently applied to simulate the mechanical behavior of composite structures. 20–25…”

“…Material models were further developed for the shear response on the basis of the experiments, which were subsequently applied to simulate the mechanical behavior of composite structures. [20][21][22][23][24][25] The objective of this study is to develop a progressive damage FEM that is sufficient to predict the failure strength and behavior of composite bolted joints. Three-dimensional explicit models were proposed using mix-mode failure criteria and gradual degradation in Abaqus/Explicit, with nonlinear shear stressstrain response considered in the constitutive equations.…”