Viscoelastic solids of exponential type. I. Minimal representations and controllability

被引：4

作者：

Fabrizio, M

Giorgi, C

Naso, MG

机构：

[1] Univ Brescia, Fac Ingn, Dipartimento Matemat, I-25133 Brescia, Italy

[2] Univ Bologna, Fac Ingn, Dipartimento Matemat, I-40127 Bologna, Italy

来源：

MECCANICA | 2004年 / 39卷 / 06期

关键词：

Viscoelasticity; Continuum Mechanics; Controllability;

D O I：

10.1007/s11012-003-6437-5

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Certain results about state-space representation, minimality and controllability of a linear viscoelastic solid element of exponential type (VSET) are presented. In particular, we prove that VSET can be viewed as materials with finite memory. This is a first part of a plan which will be continued in a next paper, by studying free energies, stability and attractors in viscoelasticity of exponential type.

引用

页码：531 / 546

页数：16

共 37 条

[1] Viscoelastic Solids of Exponential Type. I. Minimal Representations and Controllability
Mauro Fabrizio
Claudio Giorgi
Maria Grazia Naso
Meccanica, 2004, 39 : 531 - 546
[2] Viscoelastic Solids of Exponential Type. II. Free Energies, Stability and Attractors
Mauro Fabrizio
Claudio Giorgi
Maria Grazia Naso
Meccanica, 2004, 39 : 547 - 561
[3] Viscoelastic solids of exponential type. II. Free energies, stability and attractors
Fabrizio, M
Giorgi, C
Naso, MG
MECCANICA, 2004, 39 (06) : 547 - 561
[4] Dyes of the aurin type. Part I.
Bains, H
Driver, JE
JOURNAL OF THE CHEMICAL SOCIETY, 1923, 123 : 1214 - 1218
[5] The exponential calculus of pseudodifferential operators of minimum type. I
Lee, Chang Hoon
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2013, 89 (01) : 6 - 10
[6] Exponential Stability of Autonomous Differential Equations of Neutral Type. I
Balandin, A. S.
RUSSIAN MATHEMATICS, 2023, 67 (03) : 9 - 22
[7] Exponential Stability of Autonomous Differential Equations of Neutral Type. I
A. S. Balandin
Russian Mathematics, 2023, 67 : 9 - 22
[8] Thermodynamics, stability and non-linear oscillations of viscoelastic solids - I. Differential type solids of second grade
Univ of Minnesota, Minneapolis, United States
Int J Non Linear Mech, 4 (495-516):
[9] Geometry and arithmetic of integrable hierarchies of KdV type. I. Integrality
Dubrovin, Boris
Yang, Di
Zagier, Don
ADVANCES IN MATHEMATICS, 2023, 433
[10] On the possibility of systematizing classical novae by light curve type. I. Type criteria
Rosenbush A.E.
Astrophysics, 1999, 42 (1) : 43 - 53

← 1 2 3 4 →