On the development of volumetric strain energy functions

On the development of volumetric strain energy functions
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DOI:
10.1115/1.321146
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发表时间:
2000-03-01
影响因子:
2.6
通讯作者:
Schweizerhof, K
Schweizerhof, K
中科院分区:
工程技术4区
文献类型:
--
作者:
Doll, S;Schweizerhof, K

文献摘要

被引文献

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为了描述弹性材料的行为,起点是应变能函数的等容-体积解耦。体积部分是这一贡献的中心主题。首先讨论了文献中给出的一些体积函数与物理条件的关系,然后发展了三个新的体积函数,它们都满足所有的附加条件。文中详细讨论了一个包含两个材料参数和两个压缩系数的函数。根据已知的体积应变能函数和实验数据进行了一些参数拟合。所提出的函数的泛化允许无限数量的附加材料参数。在弗朗茨·齐格勒教授60岁生日之际,献给他。
To describe elastic material behavior the starting point is the isochoric-volumetric decoupling of the strain energy function. The volumetric part is the central subject of this contribution. First, some volumetric functions given in the literature are discussed with respect to physical conditions, then three new volumetric functions are developed which fulfill all imposed conditions. One proposed function which contains two material parameters in addition to the compressibility parameter is treated in detail. Some parameter fits are carried out on the basis of well-known volumetric strain energy functions and experimental data. A generalization of the proposed function permits an unlimited number of additional material parameters. Dedicated to Professor Franz Ziegler on the occasion of his 60th birthday.