کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9703110 1463257 2005 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and exponential decay in the linear theory of viscoelastic mixtures
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Existence and exponential decay in the linear theory of viscoelastic mixtures
چکیده انگلیسی
In this paper we consider a theory of viscoelastic mixtures proposed in Ieşan (2004). In this theory the dissipation effects are determined by the viscosity of rate type of a constituent and the relative velocity. We state the linear equations of the thermomechanical deformations. Then, we obtain the suitable framework where the linear problem of thermomechanical deformations of viscoelastic mixtures is well posed. Then, we study several suitable conditions to guarantee the exponential stability of solutions. As we want to emphasize where the mechanical damping is sufficient to guarantee the exponential decay, we restrict our attention to the isothermal question. First, we prove that when both dissipative mechanisms are present the solutions decay exponentially. Later, we concentrate on the case where only one of the dissipative mechanisms is present. As this question seems a little more cumbersome we restrict our attention to an easier problem. As anti-plane shear deformations are among the simplest strains that a material can undergo, we concentrate our study on this kind of deformations. We prove that generically the solutions decay exponentially, but we note that there exist some examples where purely elastic (not damped) solutions can exist.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Mechanics - A/Solids - Volume 24, Issue 2, March–April 2005, Pages 311-324
نویسندگان
,