2/26/2023 0 Comments Cst with crack download![]() ![]() The influence of various parameters is studied. ![]() For a strip under vertical stretching in plane stress and plane strain as well as Prandtl's problem of indentation by a flat rigid die in plane strain, numerical results are presented for both isotropic and orthotropic plasticity models with or without tilt angle. ![]() The B-bar finite element is employed to deal with the incompressibility due to the purely isochoric plastic flow. The analytical results are then validated by independent numerical simulations. It is found that the two discontinuity lines in plane strain conditions are always perpendicular to each other, and for the states of no shear stresses, the localization angle depends only on the tilt angle of the material axes with respect to the global ones. Application of the above localization condition to Hill's orthotropic plasticity in 2-D plane stress and plane strain conditions yields closed-form solutions of the localization angles. The resulting localization angles in orthotropic plastic materials are independent from the elastic constants, but rather, depend on the material parameters involved in the plastic flow in the material axes. Similarly to isotropic plasticity considered in our previous work, the plastic flow components on the discontinuity surface vanish upon strain localization. In particular, the localization condition derived from the boundedness of stress rates together with Maxwell's kinematics is employed. In this work the strain localization analysis of Hill's orthotropic plasticity is addressed. Relative performance is assessed in terms of load capacity, force–displacement curves, crack paths, collapse mechanisms, cost-efficiency and other key issues. The paper includes an extensive comparison of selected numerical benchmark problems analyzed with the three examined methods. The relative advantages and difficulties related to their use in the computation of localized structural failure in engineering practice are evaluated against a 10-point checklist that cover the main challenges met by these models. The present investigation focusses on the main differences of the formulation of these models both at the continuum and discrete level and discusses the main assets and burdens that ensue in their practical application. These numerical techniques are selected as the current representatives of embedded, smeared and regularized models for analyzing the phenomenon of fracture with different mathematical descriptions for the cracking induced discontinuities in the displacement and strain fields. Among the many finite element approaches devised to solve the problem, both using continuous and discontinuous methods, the present study examines the relative performance of the XFEM, the mixed strain/displacement FE and phase-field models. In this work, a critical comparison between three different numerical approaches for the computational modelling of quasi-brittle structural failure is presented. ![]()
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