UNILATERAL DYNAMIC CONTACT OF TWO VISCOELASTIC BEAMS

被引：11
|
作者：
Berti, Alessia [1 ]
Naso, Maria Grazia [1 ]
机构：
[1] Univ Brescia, Dipartimento Matemat, Fac Ingn, I-25133 Brescia, Italy
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2011年 / 69卷 / 03期
关键词：
Viscoelastic beam; Signorini condition; contact; asymptotic behavior; EXPONENTIAL STABILITY; LINEAR VISCOELASTICITY; NUMERICAL APPROXIMATION; ASYMPTOTIC STABILITY; FRICTIONAL CONTACT; GLOBAL EXISTENCE; THERMOVISCOELASTICITY; THERMOELASTICITY; VIBRATIONS; OBSTACLE;
D O I：
10.1090/S0033-569X-2011-01237-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is focused on a dynamic unilateral contact problem between two viscoelastic beams. Global-in-time existence of weak solutions describing the dynamics of the system is established. In addition, asymptotic longtime behavior of weak solutions is discussed: it is shown that the energy solutions decay exponentially to zero under suitable decay properties of the memory kernels.
引用
收藏
页码：477 / 507
页数：31
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