POLYNOMIAL OPERATORS, STIELTJES CONVOLUTION, AND FRACTIONAL CALCULUS IN HEREDITARY MECHANICS

被引：121
|
作者：
KOELLER, RC
机构：
[1] Department of Mechanical Engineering, University of Wisconsin-Platterville, Platteville, 53818, WI, United States
来源：
ACTA MECHANICA | 1986年 / 58卷 / 3-4期
关键词：
MATHEMATICAL TECHNIQUES - Differential Equations - VISCOELASTICITY;
D O I：
10.1007/BF01176603
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Fractional calculus is used to describe the general behavior of materials with memory. An expression for the fractional derivative or the fractional integral is developed in terms of the Stieltjes convolution and the Riesz distribution. The general fractional calculus polynomial operator constitutive equation is reduced to a Stieltjes convolution. A constitutive equation which depends on a memory parameter for an isotropic viscoelastic material is presented.
引用
收藏
页码：251 / 264
页数：14
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