Free energy and states of fractional-order hereditariness

被引：25

作者：

Deseri, Luca ^{[1
,2
,3
]}

Di Paola, Mario ^{[4
]}

Zingales, Massimiliano ^{[4
,5
]}

机构：

[1] Dipartimento Ingn Civile Ambientale & Meccan, I-38123 Trento, Italy

[2] Carnegie Mellon Univ, Dept Civil Environm Engn, Pittsburgh, PA 15213 USA

[3] Methodist Hosp, Res Inst, TMHRI, Dept Nanomed, Houston, TX 77030 USA

[4] Dipartimento Ingn Civile Ambientale Aerospaziale, I-90128 Palermo, Italy

[5] Mediterranean Ctr Human Hlth & Adv Biotechnol, Lab BionanoMech Med BNM2 LAB, I-90128 Palermo, Italy

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2014年 / 51卷 / 18期

基金：

美国安德鲁·梅隆基金会;

关键词：

Fractional derivatives; Power-law creep/relaxation; Free energy; Dissipation rate; Material state; HEAT-CONDUCTION; NONLOCAL MODEL; RELAXATION; CALCULUS;

D O I：

10.1016/j.ijsolstr.2014.05.008

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Complex materials, often encountered in recent engineering and material sciences applications, show no complete separations between solid and fluid phases. This aspect is reflected in the continuous relaxation time spectra recorded in cyclic load tests. As a consequence the material free energy cannot be defined in a unique manner yielding a significative lack of knowledge of the maximum recoverable work that can extracted from the material. The non-uniqueness of the free energy function is removed in the paper for power-laws relaxation/creep function by using a recently proposed mechanical analogue to fractional-order hereditariness. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：3156 / 3167

页数：12

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