Degeneration-Driven and Load-Modulated Fluid-Driven Viscoelasticity of the Human Intervertebral Disc: A Probabilistic Biphasic Swelling Modeling Study [PDF]
BioengineeringIntervertebral disc (IVD) viscoelasticity is governed primarily by fluid transport driven by coupled osmotic and mechanical pressure gradients. Disc degeneration disrupts this balance through glycosaminoglycan loss and reduced cartilage endplate ...
Zhongwei Sun +4 more
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An antiplane contact problem for viscoelastic materials with long‐term memory
Mathematical Modelling and Analysis, 2006 We study a mechanical problem modeling the antiplane shear deformation of a cylinder in frictional contact with a rigid foundation. The material is assumed to be viscoelastic with long‐term memory, the process is quasistatic, and the friction is modeled ...
M. Sofonea
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Blow-Up of Solutions for a Coupled Nonlinear Viscoelastic Equation with Degenerate Damping Terms: Without Kirchhoff Term [PDF]
Complexity, 2021 In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and source terms without the Kirchhoff term. Under suitable hypothesis, we study the blow-up of solutions.
Salah Mahmoud Boulaaras +4 more
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Long-term stability of cylindrical shells of viscoelastic composites
Lietuvos Matematikos Rinkinys, 2002 On the grounds of Hamilton's principle the system of linear integral equations has been obtained for the solution of stability problems of cylindrical shells made of viscoelastic composite materials by the finite element method.
Vaclovas Sirius
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General decay for a nonlinear pseudo-parabolic equation with viscoelastic term
Demonstratio Mathematica, 2022 This work is concerned with a multi-dimensional viscoelastic pseudo-parabolic equation with critical Sobolev exponent. First, with some suitable conditions, we prove that the weak solution exists globally.
Vu Ngo Tran +2 more
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On a class of nonlinear heat equations with viscoelastic term
Computers and Mathematics With Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le Xuan Truong
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Predicting the long-term viscoelastic response by short-term tests in polymers
Discover Applied SciencesAdditive manufacturing, specifically Material EXtrusion (MEX) based 3-D printing technique in thermoplastic polymers, enables intricate geometries by depositing molten material out of a nozzle and building layer-upon-layer.
Reza Afshar +2 more
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Bounds for blow-up time in a semilinear parabolic problem with viscoelastic term
Computers and Mathematics With Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shuying Tian
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Exponential Energy Decay of Solutions for a Transmission Problem With Viscoelastic Term and Delay [PDF]
Mathematics, 2016 In our previous work (Journal of Nonlinear Science and Applications 9: 1202–1215, 2016), we studied the well-posedness and general decay rate for a transmission problem in a bounded domain with a viscoelastic term and a delay term.
Danhua Wang, Gang Li, Biqing Zhu
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On viscoelastic wave equation with nonlinear boundary damping and source term
Communications on Pure and Applied Analysis, 2010 In this paper, we consider the viscoelastic wave equation with nonlinear boundary damping and source term. This work is devoted to prove the existence of solutions and uniform decay rates of the energy without imposing any restrictive growth assumption on the damping term and weakening the usual assumptions on the relaxation function.
Tae Gab Ha
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