General decay for a coupled Lamé system of nonlinear viscoelastic equations
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DOI: 10.1002/mma.5998
Abstract: In this paper, we consider a coupled Lamé system of nonlinear viscoelastic equations with general source terms. Under some suitable conditions on the initial data and the relaxation functions, we prove an asymptotic stability result… read more here.
Keywords: coupled lam; system nonlinear; lam system; nonlinear viscoelastic ... See more keywords
On strong solutions of fractional nonlinear viscoelastic model of Voigt type
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DOI: 10.1002/mma.6359
Abstract: This paper concerns the existence and uniqueness of the strong solutions to the initial‐boundary value problems of fractional analog of Voigt model in the planar case. read more here.
Keywords: voigt; solutions fractional; strong solutions; model ... See more keywords
Blow-up and Lifespan of Solutions for a Nonlinear Viscoelastic Kirchhoff Equation
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DOI: 10.1007/s00025-020-01223-2
Abstract: The blow-up of solutions of a class of nonlinear viscoelastic Kirchhoff equation with suitable initial data and Dirichlet boundary conditions is discussed. By constructing a suitable auxiliary function to overcome the difficulty of gradient estimation… read more here.
Keywords: kirchhoff equation; nonlinear viscoelastic; blow lifespan; viscoelastic kirchhoff ... See more keywords
Numerical study of Saffman–Taylor instability in immiscible nonlinear viscoelastic flows
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DOI: 10.1007/s00397-018-1101-0
Abstract: In this paper, a numerical solution for Saffman–Taylor instability of immiscible nonlinear viscoelastic-Newtonian displacement in a Hele–Shaw cell is presented. Here, a nonlinear viscoelastic fluid pushes a Newtonian fluid and the volume of fluid method… read more here.
Keywords: taylor instability; saffman taylor; nonlinear viscoelastic; instability immiscible ... See more keywords
Theoretical and numerical study of the blow up in a nonlinear viscoelastic problem with variable-exponent and arbitrary positive energy
Sign Up to like & getrecommendations! Published in 2021 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-022-0107-y
Abstract: In this paper, we consider the following nonlinear viscoelastic wave equation with variable exponents: $$u_{tt}-\Delta u+\int_{0}^{t} g(t-\tau)\Delta u(x,\tau)\rm{d}\tau+\mu u_{t}=\vert u\vert^{p(x)-2}u,$$ u t t − Δ u + ∫ 0 t g ( t − τ… read more here.
Keywords: energy; arbitrary positive; blow; theoretical numerical ... See more keywords
Nonlinear viscoelastic characterization of charged cellulose nanocrystal network structure in the presence of salt in aqueous media
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DOI: 10.1007/s10570-020-03166-x
Abstract: Abstract The change in ionic strength of cellulose nanocrystal (CNC) suspensions is shown to contribute to a respective change in colloidal behavior, such as stiffness and fractal gelation. In this study, dynamic colloidal behavior and stability of aqueous… read more here.
Keywords: network structure; cnc; salt; nonlinear viscoelastic ... See more keywords
A nonlinear viscoelastic–viscoplastic model for adhesives
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DOI: 10.1007/s11043-020-09460-2
Abstract: We consider the nonlinear viscoelastic–viscoplastic behavior of adhesives. We develop a one-dimensional nonlinear model by combining Schapery’s nonlinear single integral model and Perzyna’s viscoplastic model. The viscoplastic strain was solved iteratively using the von Mises… read more here.
Keywords: viscoelastic viscoplastic; nonlinear viscoelastic; viscoplastic model; model ... See more keywords
A nonlinear viscoelastic constitutive model taking into account of physical aging
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DOI: 10.1007/s11043-020-09473-x
Abstract: Polymers exhibit viscoelastic behavior: their mechanical response depends on the loading time, or on the loading frequency. In addition, if a polymer structure has a long service life, the mechanical behavior can also depend on… read more here.
Keywords: viscoelastic constitutive; taking account; nonlinear viscoelastic; time ... See more keywords
Vibro-acoustic numerical analysis for the geometrically nonlinear viscoelastic rectangular plate subjected to subsonic compressible airflow
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DOI: 10.1016/j.apacoust.2020.107779
Abstract: Abstract Transient and steady-state acoustic radiation of geometrically nonlinear viscoelastic rectangular plates are studied in this paper. The plate is subjected to subsonic compressible steady airflow. Firstly, the airflow pressure on the surface of the… read more here.
Keywords: viscoelastic rectangular; geometrically nonlinear; plate subjected; nonlinear viscoelastic ... See more keywords
A nonlinear viscoelastic constitutive model for cyclically loaded solid composite propellant
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DOI: 10.1016/j.ijsolstr.2020.04.011
Abstract: Abstract In this paper, a novel nonlinear viscoelastic constitutive model is proposed to describe the mechanical behavior of a polymer matrix composite (HTPB propellant). The model is built upon two stress-dependent nonlinear functions within the… read more here.
Keywords: viscoelastic constitutive; nonlinear viscoelastic; model; composite propellant ... See more keywords
Chaotic vibrations of nonlinear viscoelastic plate with fractional derivative model and subjected to parametric and external excitations
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DOI: 10.1016/j.mechrescom.2019.04.001
Abstract: Abstract This paper deals with the analysis of chaotic vibrations of simply supported nonlinear viscoelastic plate with fractional derivative model and subjected to parametric and external excitations. The Galerkin decomposition is used to obtain the… read more here.
Keywords: viscoelastic plate; plate fractional; nonlinear viscoelastic; derivative model ... See more keywords