Basic Theory for Generalized Linear Solid Viscoelastic Models
نویسندگان
چکیده
In this paper, we consider the generalized linear solid model of viscoelastic wave propagation, which is modeled by a system of integro-differential equations. We show the existence and uniqueness of a weak solution to the initial-boundary value problem; we show that the solution has finite propagation speed; and we prove regularity results for the solution, depending on the regularity of the domain, the material parameters, the initial data, and the source function.
منابع مشابه
Dynamic response determination of viscoelastic annular plates using FSDT – perturbation approach
In this paper, the transient response of a viscoelastic annular plate which has time-dependent properties is determined mathematically under dynamic transverse load. The axisymmetric conditions are considered in the problem. The viscoelastic properties obey the standard linear solid model in shear and the bulk behavior in elastic. The equations of motion are extracted using Hamilton’s principle...
متن کاملCalculation of tunnel behavior in viscoelastic rock mass
Wall displacements and ground pressure acting on the lining of a tunnel increase with time. These time-dependent deformations are both due to face advance effect and to the time-dependent behavior of the rock mass. Viscoelastic materials exhibit both viscous and elastic behaviors. Thorough this study, the effect of different linear viscoelastic models including Maxwell, Kelvin and Kelvin-Voigt...
متن کاملA General Boundary Element Formulation for The Analysis of Viscoelastic Problems
The analysis of viscoelastic materials is one of the most important subjects in engineering structures. Several works have been so far made for the integral equation methods to viscoelastic problems. From the basic assumptions of viscoelastic constitutive equations and weighted residual techniques, a simple but effective Boundary Element (BE) formulation is developed for the Kelvin viscoelastic...
متن کاملVibration Analysis of Size-Dependent Piezoelectric Nanobeam Under Magneto-Electrical Field
The damping vibration characteristics of magneto-electro-viscoelastic (MEV) nanobeam resting on viscoelastic foundation based on nonlocal strain gradient elasticity theory (NSGT) is studied in this article. For this purpose, by considering the effects of Winkler-Pasternak, the viscoelastic medium consists of linear and viscous layers. with respect to the displacement field in accordance with th...
متن کاملGeneralized Fractional Maxwell Model: Parameter Estimation of a Viscoelastic Material
In this paper, we show how fractional viscoelastic models can be efficient in the modeling of linear viscoelastic behavior, increasing the fitting accuracy of classic generalized viscoelastic models, such as the Generalized Maxwell model. Experimental data (Loss and Storage modulus in the frequency domain) were retrieved from a Dynamic Mechanical Analysis test considering Carbon Fibre Reinforce...
متن کامل