The minimum free energy in fractional models of materials with memory

被引：2

作者：

Amendola, Giovambattista ^{[1
]}

Fabrizio, Mauro ^{[2
]}

Golden, John Murrough ^{[3
]}

机构：

[1] Dipartmento Math, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy

[2] Dipartimento Matemat, I-40127 Bologna, Italy

[3] Dublin Inst Technol, Sch Math Sci, Dublin 8, Ireland

来源：

COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS | 2015年 / 6卷 / 01期

关键词：

Materials with memory; Fractional derivative; Free energy functionals; Thermodynamics;

D O I：

10.1685/journal.caim.488

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Explicit forms of the minimum free energy and the corresponding rate of dissipation, for general histories of strain, are derived and discussed within the context of fractional derivative models of materials with memory. Simple formulae are also given for sinusoidal and exponential histories.

引用

页数：30

共 16 条

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