Результаты поиска по 'the stress concentration factor':
Найдено статей: 2
  1. Zhukov B.A., Shchukina N.A.
    The approximate model of plane static problems of the nonlinear elasticity theory
    Computer Research and Modeling, 2015, v. 7, no. 4, pp. 889-896

    This article is dedicated to the construction of the approximate mathematical model of the nonlinear elasticity theory for plane strain state. The third order effects method applied to symbolic computing. There three boundary value problems for the first, the second and the third order effects has been obtained within this method, which gets ability to use well-elaborated methods of the linear elasticity theory for the solution of specific problems. This method can be applied for analytical solving of plane problems of nonlinear elasticity theory of stress concentration around holes in mathematical package Maple. Considered example of the triangular hole. The influence of external loads on the stress concentration factor.

    Keywords: nonlinear elasticity theory, the third order effects, an approximate mathematical model, the stress concentration factor.
    Views (last year): 4. Citations: 2 (RSCI).
  2. Kolobov A.V., Kuznetsov M.B.
    Mathematical modeling of low invasive tumor growth with account of inactivation of vascular endothelial growth factor by antiangiogenic drug
    Computer Research and Modeling, 2015, v. 7, no. 2, pp. 361-374

    A mathematical model of tumor growth in tissue taking into account angiogenesis and antiangiogenic therapy is developed. In the model the convective flows in tissue are considered as well as individual motility of tumor cells. It is considered that a cell starts to migrate if the nutrient concentration falls lower than the critical level and returns into proliferation in the region with high nutrient concentration. Malignant cells in the state of metabolic stress produce vascular endothelial growth factor (VEGF), stimulating tumor angiogenesis, which increases the nutrient supply. In this work an antiangiogenic drug which bounds irreversibly to VEGF, converting it to inactive form, is modeled. Numerical analysis of influence of antiangiogenic drug concentration and efficiency on tumor rate of growth and structure is performed. It is shown that antiangiogenic therapy can decrease the growth of low-invasive tumor, but is not able to stop it completely.

    Keywords: mathematical modeling, tumor, VEGF, antiangiogenic therapy.
    Views (last year): 4. Citations: 1 (RSCI).

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