Constitutive Modelling - Lesson Summary
The Geometric Constraint ensures that the deformations in the N-Maxwell Model Equations remain the same in all cases.
The N characteristic time-scales of the Creep Response Function are also known as retardation time-scales.
The N characteristic time-scales of the Stress Relaxation Function are known as relaxation time-scales.
In the Maxwell Model, the viscous part is shear-rate independent.
The Maxwell and Kelvin Meyer Voigt Models use mechanical analogues for characterizing material response.
Boltzmann proposed that the creep in the specimen is a function of the entire loading history.
The formulation of the stress and the strain in terms of two polynomials is valid for most models, the only changes are in the constants and the form.
Constitutive Modelling has two approaches and these are the continuum approach and the microstructure approach.
According to Oldroyd, a Constitutive Equation must be based on the following:
The relative motion of the neighbourhood of a particle
The history of the metric tensor associated with the particle
A converted coordinate system embedded in the material and deforming with it
Physical constants defining the symmetry of the material
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