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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Axisymmetrical elastic problem for a nonhomogeneous thick plate containing a penny-shaped crack
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Axisymmetrical elastic problem for a nonhomogeneous thick plate containing a penny-shaped crack

机译：含一角形裂纹的非均质厚板的轴对称弹性问题

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This paper deals with a theoretical analysis of an axisymmetrical elastic singular stress problem far a nonhomogeneous thick plate with a penny-shaped crack. It is assumed that the nonhomogeneous material property of the shear modulus of elasticity G varies with the variable of the axial coordinate z according to the power product form, i.e., G(z) = G(0)z(a). As an analytical model, we consider a nonhomogeneous thick plate with a penny-shaped crack subject to a uniformly distributed loading such as internal pressure on the crack surfaces. Then, the axisymmetrical elastic problem for such a nonhomogeneous material with a singular stress field can be theoretically developed making use of a fundamental equation system, which has already been proposed in. our previous paper. And numerical calculations are carried out for several cases to evaluate the influences of the nonhomogeneous parameter m of the shear modulus of elasticity G and the position of a crack in a thick plate on the elastic behavior. Numerical results for the elastic and the singular stress fields are shown graphically. [References: 14]
机译：本文对轴对称的弹性奇异应力问题进行了理论分析，该问题远非具有一字形裂纹的非均质厚板。假定弹性剪切模量G的非均质材料性质根据功率乘积形式随轴向坐标z的变量而变化，即G（z）＝ G（0）z（a）。作为分析模型，我们考虑了具有一美分形裂纹的非均质厚板，该裂纹要承受均匀分布的载荷，例如裂纹表面的内部压力。然后，可以利用基本方程组从理论上发展这种具有奇异应力场的非均质材料的轴对称弹性问题，该问题已经在我们先前的论文中提出。并针对几种情况进行了数值计算，以评估剪切弹性模量G的非均匀参数m和厚板中裂纹位置对弹性行为的影响。图形显示了弹性应力场和奇异应力场的数值结果。 [参考：14]

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