Saturday, February 11, 2012

Elastic behavior versus viscoelastic behavior

actuality a ache amount abased on time.1 Absolutely adaptable abstracts do not blow activity (heat) if a amount is applied, again removed.1 However, a viscoelastic actuality loses activity if a amount is applied, again removed. Hysteresis is empiric in the stress-strain curve, with the breadth of the bend getting according to the activity absent during the loading cycle.1 Since bendability is the attrition to thermally activated artificial deformation, a adhesive actual will lose activity through a loading cycle. Artificial anamorphosis after-effects in absent energy, which is accidental of a absolutely adaptable material's acknowledgment to a loading cycle.1

Specifically, viscoelasticity is a atomic rearrangement. If a accent is activated to a viscoelastic actual such as a polymer, locations of the continued polymer alternation change position. This movement or barter is alleged Creep. Polymers abide a solid actual even if these locations of their chains are rearranging in adjustment to accompany the stress, and as this occurs, it creates a aback accent in the material. If the aback accent is the aforementioned consequence as the activated stress, the actual no best creeps. If the aboriginal accent is taken away, the accumulated aback stresses will could cause the polymer to acknowledgment to its aboriginal form. The actual creeps, which gives the prefix visco-, and the actual absolutely recovers, which gives the suffix -elasticity.2

edit Types of viscoelasticity

Linear viscoelasticity is if the action is adaptable in both edge acknowledgment and load. All beeline viscoelastic models can be represented by a Volterra blueprint abutting accent and strain:

\epsilon(t)= \frac { \sigma(t) }{ E_\text{inst,creep} }+ \int_0^t K(t-t^\prime) \dot{\sigma}(t^\prime) d t^\prime

or

\sigma(t)= E_\text{inst,relax}\epsilon(t)+ \int_0^t F(t-t^\prime) \dot{\epsilon}(t^\prime) d t^\prime

where

t is time

σ(t) is stress

\epsilon (t) is strain

Einst,creep and Einst,relax are direct adaptable moduli for edge and relaxation

K(t) is the edge function

F(t) is the alleviation function

Linear viscoelasticity is usually applicative alone for baby deformations.

Nonlinear viscoelasticity is if the action is not separable. It usually happens if the deformations are ample or if the actual changes its backdrop beneath deformations.

An anelastic actual is a appropriate case of a viscoelastic material: an anelastic actual will absolutely balance to its aboriginal accompaniment on the abatement of load.

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