Fractional-order relaxation laws in non-linear viscoelasticity

被引：0
|
作者：
Hanyga, Andrzej [1 ]
机构：
[1] Princeton Univ, Dept Geosci, Princeton, NJ 08544 USA
来源：
CONTINUUM MECHANICS AND THERMODYNAMICS | 2007年 / 19卷 / 1-2期
关键词：
viscoelasticity; fractional derivatives; nonlinear;
D O I：
10.1007/s00161-007-0042-0
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
Viscoelastic constitutive equations are constructed by assuming that the stress is a nonlinear function of the current strain and of a set of internal variables satisfying relaxation equations of fractional order. The dependence of the relaxation equations on the strain can also be nonlinear. The resulting constitutive equations are examined as mapping between appropriate Sobolev spaces. The proposed formulation is easier to implement numerically than history-based formulations.
引用
收藏
页码：25 / 36
页数：12
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