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1.
Stress intensity factors and crack deviation conditions in a brittle anisotropic solid 总被引:1,自引:0,他引:1
S. A. Nazarov 《Journal of Applied Mechanics and Technical Physics》2005,46(3):386-394
For arbitrary anisotropy in the linear manifold of singular solutions generating square-root singularities of the crack tip
stress, a special basis is introduced that possesses the same properties as in the isotropic case and provides simple integral
representations for the attributes of the energy fracture criterion, in particular, the conditions of crack deviation from
a straight path.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 3, pp. 98–107, May–June, 2005. 相似文献
2.
The problem of determining the stress state of a plate with an inclined elliptical notch under biaxial loading is considered.
The Kolosov-Muskhelishvili method is used to obtain an expression for the stress near the vertex of an inclined ellipse, whose
particular case are expressions for the stress in the case of an inclined crack. The stress intensity factors K
I
and K
II
were determined experimentally by holographic interferometry in the case of extension of a plate with an inclined crack-like
defect. The calculation results are compared with experimental data.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 1, pp. 118–127, January–February, 2009. 相似文献
3.
A higher resolution edge‐based finite volume method for the simulation of the oil–water displacement in heterogeneous and anisotropic porous media using a modified IMPES method 下载免费PDF全文
Rogério Soares da Silva Paulo Roberto Maciel Lyra Ramiro Brito Willmersdorf Darlan Karlo Elisiário de Carvalho 《国际流体数值方法杂志》2016,82(12):953-978
In this article, we present a higher‐order finite volume method with a ‘Modified Implicit Pressure Explicit Saturation’ (MIMPES) formulation to model the 2D incompressible and immiscible two‐phase flow of oil and water in heterogeneous and anisotropic porous media. We used a median‐dual vertex‐centered finite volume method with an edge‐based data structure to discretize both, the elliptic pressure and the hyperbolic saturation equations. In the classical IMPES approach, first, the pressure equation is solved implicitly from an initial saturation distribution; then, the velocity field is computed explicitly from the pressure field, and finally, the saturation equation is solved explicitly. This saturation field is then used to re‐compute the pressure field, and the process follows until the end of the simulation is reached. Because of the explicit solution of the saturation equation, severe time restrictions are imposed on the simulation. In order to circumvent this problem, an edge‐based implementation of the MIMPES method of Hurtado and co‐workers was developed. In the MIMPES approach, the pressure equation is solved, and the velocity field is computed less frequently than the saturation field, using the fact that, usually, the velocity field varies slowly throughout the simulation. The solution of the pressure equation is performed using a modification of Crumpton's two‐step approach, which was designed to handle material discontinuity properly. The saturation equation is solved explicitly using an edge‐based implementation of a modified second‐order monotonic upstream scheme for conservation laws type method. Some examples are presented in order to validate the proposed formulation. Our results match quite well with others found in literature. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献