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On the passage from nonlinear to linearized viscoelasticity
WebWe identify weak solutions in the nonlinear framework as limits of time-incremental problems for vanishing time increment. Moreover, we show that linearization around the identity leads to the standard system for linearized viscoelasticity and that solutions of the nonlinear system converge in a suitable sense to solutions of the linear one. WebWhen we restrict the case of infinitesimal deformations, then we have linear viscoelastic solids with or without memory. Constitutive relations for linearized viscoelastic solids can be derived using one of two approaches. In the first approach, the entropy inequality is used to provide guidance. five nights at freddy\u0027s pirated
An Approach to Nonlinear Viscoelasticity via Metric Gradient …
Web5 de jun. de 2024 · We use cookies to help our site work, to understand how it is used, and to tailor ads that are more relevant to you and your interests. By accepting, you agree to … WebWe formulate a quasistatic nonlinear model for nonsimple viscoelastic materials at a finite-strain setting in the Kelvin--Voigt rheology where the viscosity stress tensor complies with the principle of time-continuous frame indifference. We identify weak solutions in the nonlinear framework as limits of time-incremental problems for vanishing time increment. … WebMoreover, we show that linearization around the identity leads to the standard system for linearized viscoelasticity and that solutions of the nonlinear system converge in a suitable … can i turn off commenting on my facebook page