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Standard linear solid model information


The standard linear solid (SLS), also known as the Zener model after Clarence Zener,[1] is a method of modeling the behavior of a viscoelastic material using a linear combination of springs and dashpots to represent elastic and viscous components, respectively. Often, the simpler Maxwell model and the Kelvin–Voigt model are used. These models often prove insufficient, however; the Maxwell model does not describe creep or recovery, and the Kelvin–Voigt model does not describe stress relaxation. SLS is the simplest model that predicts both phenomena.

  1. ^ Holm, Sverre (2024). Acoustic wave equations and four ways media may perturb the speed of sound (PDF). Vol. 1.3. University of Oslo.

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Standard linear solid model

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The standard linear solid (SLS), also known as the Zener model after Clarence Zener, is a method of modeling the behavior of a viscoelastic material using...

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Viscoelasticity

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models, which include the Maxwell model, the Kelvin–Voigt model, the standard linear solid model, and the Burgers model, are used to predict a material's...

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Generalized Maxwell model

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Following the above model with N + 1 = 2 {\displaystyle N+1=2} elements yields the standard linear solid model: Standard Linear Solid Model (3) σ + τ 1 ∂ σ...

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Burgers material

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\varepsilon } is the strain. This model incorporates viscous flow into the standard linear solid model, giving a linearly increasing asymptote for strain...

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Standard linear solid Q model for attenuation and dispersion

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A standard linear solid Q model (SLS) for attenuation and dispersion is one of many mathematical Q models that gives a definition of how the earth responds...

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SLS

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standard conditions Sodium lauryl sulfate, a surfactant Static light scattering, a technique to measure molecular weight Standard linear solid model,...

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Solid modeling

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Solid modeling (or solid modelling) is a consistent set of principles for mathematical and computer modeling of three-dimensional shapes (solids). Solid...

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Maxwell material

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material Generalized Maxwell model Kelvin–Voigt material Oldroyd-B model Standard linear solid model Upper-convected Maxwell model Roylance, David (2001)....

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Linear elasticity

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Linear elasticity is a mathematical model of how solid objects deform and become internally stressed due to prescribed loading conditions. It is a simplification...

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Stress relaxation

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medium Friction and wear Long-term storage Creep Viscoelasticity Standard Linear Solid Model Burgers material Maxwell material Kelvin–Voigt material Wikimedia...

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Inverse problem

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the case of a linear forward map and when we deal with a finite number of model parameters, the forward map can be written as a linear system d = F p...

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Winchester Model 1897

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shotguns were produced. The Model 1897 was offered in numerous barrel lengths and grades, chambered in 12 and 16 gauge, and as a solid frame or takedown. The...

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Debye model

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In thermodynamics and solid-state physics, the Debye model is a method developed by Peter Debye in 1912 to estimate phonon contribution to the specific...

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Coefficient of determination

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from a model-fitting procedure using those data. Even if a model-fitting procedure has been used, R2 may still be negative, for example when linear regression...

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Diode modelling

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modelling the diode's turn-on characteristic, the model can be enhanced by doubling-up the standard PWL-model. This model uses two piecewise-linear diodes...

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Pipeline Open Data Standard

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The Pipeline Open Data Standard (PODS) Pipeline Data Model provides the database architecture pipeline operators use to store critical information and...

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Mathematical Q models

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(non-linear attenuation) 5) Müller's model (power-law Q) 6) Standard linear solid Q model for attenuation and dispersion the Zener model (the standard linear...

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SRGB

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quantization artifacts. The standard further defines a opto-electronic transfer function (OETF), which defines the conversion of linear light or signal intensity...

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Transistor model

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treated as standard linear circuit elements. An advantage of small signal models is they can be solved directly, while large signal nonlinear models are generally...

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SPICE

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Pederson, D.O. (August 1971). "SLIC: A simulator for linear integrated circuits". IEEE Journal of Solid-State Circuits. 6 (4): 188–203. Bibcode:1971IJSSC...

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Nearly free electron model

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In solid-state physics, the nearly free electron model (or NFE model and quasi-free electron model) is a quantum mechanical model of physical properties...

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Contact mechanics

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of the underlying theory of the solid (e.g., linear or nonlinear solid in two- or three dimensions, beam or shell model). By restating the normal stress...

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Correlation

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statistics it usually refers to the degree to which a pair of variables are linearly related. Familiar examples of dependent phenomena include the correlation...

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Coefficient of variation

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investors in economic models, and in psychology/neuroscience. The coefficient of variation (CV) is defined as the ratio of the standard deviation σ {\displaystyle...

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