Although the Standard Linear Solid Model is more accurate than the Maxwell and Kelvin—Voigt models in predicting material responses, mathematically it returns inaccurate results for strain under specific loading conditions. The second is a viscous component that grows with time as long as the stress is applied. Whereas elasticity is usually the result of bond stretching along crystallographic planes in an ordered solid, viscosity is the result of the diffusion of atoms or molecules inside an amorphous material. In addition, when the stress is independent of this strain rate, the material exhibits plastic deformation. Under this model, if the material is put under a constant strain, the stresses gradually relax. The viscous components can be modeled as dashpots such that the stress—strain rate relationship can be given as,.

Then, the stress relaxes over time due to the viscous effects in the material. This model represents a solid undergoing reversible, viscoelastic strain. However, polymers for the most part show the strain rate to be decreasing with time. When the back stress is the same magnitude as the applied stress, the material no longer creeps. The Wiechert model shows this by having as many spring—dashpot Maxwell elements as are necessary to accurately represent the distribution. Linear viscoelasticity is usually applicable only for small deformations.

As a result, only the spring connected in parallel to the dashpot will contribute to the total strain in the system. When a material is put under a constant stress, the strain has two components.

Generally speaking, an increase in temperature correlates to a logarithmic decrease in the time required to impart equal strain under a constant stress. Retrieved from ” https: Hysteresis is observed in the stress—strain curve, with the area of the loop being equal to the energy lost during the loading cycle.

Viscoelastic creep data can be presented by plotting the creep modulus constant applied stress divided by total strain at a particular time as a function of time. This model represents a solid undergoing reversible, viscoelastic strain.


A dashpot resists changes in length, and in a high stress state it can be approximated as a rigid rod. Nonlinear viscoelasticity is when the function is not separable. The model can be represented by the following equation:. Applications to soft solids: Abaqus Analysis User’s Manual, The material responds to the stress with a strain that increases until the material ultimately fails, if it is a viscoelastic liquid. In other words, it takes less work to stretch a viscoelastic material an equal distance at a higher temperature than it does at a lower temperature.

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Viscoelasticity is studied using dynamic mechanical analysisapplying a small oscillatory stress and measuring the resulting strain. Purely elastic materials do not dissipate energy heat when a load is applied, then removed.

For example, exposure of pressure sensitive adhesives to extreme cold dry icefreeze spray pronny, etc. Time-temperature-age Superposition Principle for Predicting Long-term Response of Linear Viscoelastic Materials, chapter 2 in Creep and fatigue in polymer matrix composites. This page was last edited on 17 Januaryat Linear viscoelasticity is when the function is separable in both creep response and load.

If the material exhibits a non-linear response to the strain rate, it is categorized as Non-Newtonian fluid.

Compliaance family of curves describing strain versus time response to various applied stress may be represented by a single viscoelastic creep modulus versus time curve if the applied stresses are below the material’s critical stress value. Due to molecular segments of different lengths with shorter ones contributing less than longer ones, there is a varying time distribution. The red area is a hysteresis loop and shows the amount of energy lost as heat in a loading and unloading cycle.

Viscoelasticity – Wikipedia

Once the parameters of the creep model are known, produce promy pseudo-data with the conjugate relaxation model serries the same times of the original data. The second is a viscous component that grows with time as long as the stress is applied. Plastic deformation results in lost energy, which is uncharacteristic of a purely elastic material’s reaction to a loading cycle.


In addition, when the stress is independent of this strain rate, the material exhibits plastic deformation. Views Read Edit View history.

Some examples of viscoelastic materials include amorphous polymers, semicrystalline polymers, biopolymers, metals at very high temperatures, and bitumen materials. Surface tension Capillary action. Using BVS and RUS to study the mechanical properties of materials is important to understanding how a material exhibiting viscoelasticity will perform. In most cases, the creep modulus, defined as the ratio of applied stress to the time-dependent strain, decreases with increasing temperature.

When a material exhibits a linear response it is categorized as a Newtonian material. Application of a stress favors some conformations over others, so the molecules of the polymer will gradually “flow” into the favored conformations over time. Polymers remain a solid material even when these parts of their chains are rearranging in order to accompany the stress, and as this occurs, it creates a back stress in the material.

Since a rigid seriew cannot be stretched past its original length, no strain is added to the system. Elastic materials strain when stretched and immediately return to their original state once the stress is removed. This phenomenon is known as viscoelastic creep. The resulting stress vs.