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ON THE CONSTITUTIVE THEORY OF POWER-LAW MATERIALS CONTAINING VOIDS

机译:含空隙的幂律材料的本构理论

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摘要

In the analysis of non-linear porous solids, it is commonplace to employ a spherical unit cell owing to the simplicity it affords. The macroscopic constitutive response is then predicted based upon either uniform traction or linear displacement/velocity boundary conditions applied on the outer surface of the cell. In this investigation we carry out a careful computational investigation of the effect of these two types of boundary conditions upon the predicted macroscopic response, and in particular, we explore the sensitivity of the predicted response to the macroscopic stress state and the degree of matrix non-linearity. In addition, we contrast the accurate numerical results obtained here with various approximate constitutive models in order to provide additional insight into the predictive capabilities of these models.
机译:在非线性多孔固体的分析中,由于其简单性,通常采用球形晶胞。然后基于施加在单元外表面上的均匀牵引力或线性位移/速度边界条件,预测宏观的本构响应。在这项研究中,我们对这两种类型的边界条件对预测的宏观响应的影响进行了仔细的计算研究,尤其是,我们探索了预测的响应对宏观应力状态的敏感性和基体非饱和度。线性。另外,我们将此处获得的精确数值结果与各种近似本构模型进行对比,以提供对这些模型的预测能力的更多见解。

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