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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >ON A SELF-CONSISTENT METHOD TO THE ANALYSES OF ELASTIC AND ELASTO-PLASTIC MATERIALS WITH INCLUSIONS
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ON A SELF-CONSISTENT METHOD TO THE ANALYSES OF ELASTIC AND ELASTO-PLASTIC MATERIALS WITH INCLUSIONS

机译:自洽方法分析夹杂物的弹性和弹塑性材料

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摘要

In this paper, a self-consistent method is used to estimate the overall properties of elastic and elasto-plastic materials containing ellipsoidal elastic inclusions or voids. Two important properties of materials with voids are established. The general constitutive relations are derived in. a clear form. For elastic problems, we present the relevant stiffness tensor for materials with spherical, penny-shaped, and cylindrical voids. Further we work out analytically the constitutive behaviour of elasto-plastic materials with voids under simple tension, pure shear, plane stress, and plane strain, respectively. These special cases illustrate the simplicity and applicability of the proposed method. [References: 19]
机译:在本文中,使用自洽方法来估计包含椭圆形弹性夹杂物或空隙的弹性和弹塑性材料的整体性能。建立了具有空隙的材料的两个重要特性。一般的本构关系以清楚的形式导出。对于弹性问题,我们提出了具有球形,便士形和圆柱形空隙的材料的相关刚度张量。进一步,我们分别分析了在简单张力,纯剪切,平面应力和平面应变下具有空隙的弹塑性材料的本构行为。这些特殊情况说明了该方法的简单性和适用性。 [参考:19]

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