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A Retrospective Assessment of Elastic-Plastic and Creep Deformation behavior in Structural Components Like Discs, Cylinders, and Shells
Published in Satya Bir Singh, Prabhat Ranjan, A. K. Haghi, Applied Mechatronics and Mechanics, 2020
Shivdev Shahi, Satya Bir Singh, A. K. Haghi
Singh and Ray [21] extended their work to the analytical treatment of anisotropy and creep in orthotropic aluminum silicon carbide composite rotating disc made of composites containing SiC whiskers under steady state using Hill yield criterion and compared with the results obtained using von Mises yield criterion for the isotropic composites. It is observed that the tangential stress distribution is lower in the middle of the disc but higher near the inner and the outer radius but the radial stress distribution does not get significantly affected due to anisotropy and also observed that anisotropy helped to reduce the tangential strain rate significantly, more near inner radius and the strain rate distribution in the orthotropic disc is lower than that in the isotropic disc following von Mises criterion. It should be noted that the anisotropy constants taken from the experimental results of other studies and the lowering of tangential creep rate may be significant in the context of real life engineering. The compressive radial strain rate also reduced in the disc following Hill criterion of yield plasticity as compared to that in isotropic disc. Thus, anisotropy appeared to help in restraining creep response both in the tangential and in the radial directions (Figure 6.4).
Classical and Nonclassical Treatment of Problems in Elastic-Plastic and Creep Deformation for Rotating Discs
Published in Satya Bir Singh, Alexander V. Vakhrushev, A. K. Haghi, Materials Physics and Chemistry, 2020
A. Temesgen, S. B. Singh, Pankaj Thakur
Ray and Singh104 extended the work of Singh and Ray103 to the analytical treatment of anisotropy and creep in orthotropic aluminum–silicon carbide composite rotating disc made of composites containing SiC whiskers under steady state using Hill yield criterion and compared with the results obtained using von Mises yield criterion for the isotropic composites. It is observed that the tangential stress distribution is lower in the middle of the disc but higher near the inner and the outer-radius but the radial stress distribution does not get significantly affected due to anisotropy and also observed that anisotropy helped to reduce the tangential strain rate significantly, more near inner radius and the strain rate distribution in the orthotropic disc is lower than that in the isotropic disc following von Mises criterion. It should be noted that the anisotropy constants taken from the experimental results of other studies and the lowering of tangential creep rate may be significant in the context of real-life engineering. The compressive radial strain rate also reduced in the disc following Hill criterion of yield plasticity as compared with that in isotropic disc. Thus, anisotropy appeared to help in restraining creep response both in the tangential and in the radial directions. Further Singh and Ray106 extended to investigate for the effect of anisotropy on the creep behavior of rotating disc made of functionally graded Al–SiCp. The study reveals that the presence of anisotropy in the disc leads to significant reduction in the tangential and radial strain rates over the entire disc radius.
Mathematical modeling the rigid-plastic yielding behavior of fibrous flatly-reinforced composites of anisotropic materials at 2D stress state
Published in Mechanics of Advanced Materials and Structures, 2023
Tatiana Pavlovna Romanova, Andrew P. Yankovskii
A structural model of the mechanics of composites was developed that allows calculating the yield conditions for hybrid rigid-perfectly plastic composite media multi-directionally reinforced in arbitrary directions parallel to a certain plane. The materials of the components of the composition are anisotropic. The complex stress state in the fibers is taken into account. It is assumed that, in the reinforcement plane, a plane stress state in the composition is realized. It is shown that, within the framework of the accepted assumptions, plane stress state occurs in all components of the composition. The plastic flow in the components is described by the quadratic Hill yield criterion, for which the Mises yield criterion is a special case for isotropic materials. The analytical relations for determining the averaged stresses and strain rates of the composition in the yield state are obtained. As examples, two variants of symmetrical reinforcement for compositions consisting of orthotropic materials are considered under condition of equal reinforcement consumption. It is demonstrated that the change in the anisotropy parameters of the composition materials (at fixed values of yield strength under tension-compression and at simple shear), as well as the change in the reinforcement structure (densities and directions of reinforcement) leads to significant change in the shape and size of the yield loci of the composite medium. The fulfillment of the associated law of plastic flow is numerically verified. It is shown that, for anisotropic materials of fibers, MOSSF is unsuitable for performing satisfactory calculations of yield loci of the compositions under consideration. In these cases, it is advisable to use the structural theory of mechanics of composites developed in proposed study.