Stress-Deformation Relations for Isotropic Materials

Stress-Deformation Relations for Isotropic Materials
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DOI:
10.1007/978-1-4612-2416-7_61
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发表时间:
1955
影响因子:
1.1
通讯作者:
R. Rivlin;J. Ericksen
R. Rivlin;J. Ericksen
中科院分区:
数学3区
文献类型:
--
作者:
R. Rivlin;J. Ericksen

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已经证明(参见C. Truesdell(1952)对这一主题的全面回顾),均匀各向同性理想弹性材料的力学可以在材料的相关弹性特性的描述的基础上发展,这种材料的弹性特性是应变-能量函数w,它是变形的三个标量不变量I1, i2和di3的单值函数。
It has been shown (see C. Truesdell (1952) for a comprehensive review of this subject) that the mechanics of a homogeneous isotropic ideally elastic material may be developed on the basis of a description of the relevant elastic properties of the material in terms of a strain-energy functionWwhich is a single-valued function of three scalar invariants of the deformation,I1,I2andI3.