Why Maxwell and Kelvin-Voigt model fail to represent a solid

In summary, the Maxwell and Kelvin-Voigt models fail to represent a solid due to their inability to accurately describe the behavior of fluids or solids quantitatively. To turn an elastic model into a viscoelastic model, certain steps are required from a numerical implementation perspective, but it is not clear what these steps are.
  • #1
zoala001
2
0
Hi

I m studying modelling the viscoelastic passive properties of vascular walls and there is question!

Why does Maxwell andKelvin-Voigt fail to represent a solid?
and also
what steps are required from a numerical point of implementation point of view , are required to turn an elastic model into a viscoelastic model?
 
Engineering news on Phys.org
  • #2
zoala001 said:
Hi

I m studying modelling the viscoelastic passive properties of vascular walls and there is question!

Why does Maxwell andKelvin-Voigt fail to represent a solid?
Maxwell model does not exhibit strain recovery, even at small strains, so it is usually thought of as a fluid model. Kelvin-Voigt does exhibit strain recovery, so qualitatively, it behaves like a solid. However, neither of these models describes the behavior of fluids or solids quantitatively. To do that at small strains, one needs to use a more general form of these models.

and also
what steps are required from a numerical point of implementation point of view , are required to turn an elastic model into a viscoelastic model?
I don't understand this question.

Chet
 

1. Why do the Maxwell and Kelvin-Voigt models fail to accurately represent a solid?

The Maxwell and Kelvin-Voigt models are two of the most commonly used models for describing the behavior of solids. However, they both have limitations that prevent them from accurately representing a solid. The Maxwell model only considers the elastic behavior of a solid, ignoring any viscoelastic effects. On the other hand, the Kelvin-Voigt model only considers the viscoelastic behavior, neglecting any elastic effects. Therefore, these models fail to capture the full range of behavior seen in real solids.

2. Can the Maxwell and Kelvin-Voigt models be combined to create a more accurate representation of a solid?

While both models have their own strengths and weaknesses, combining them does not necessarily result in a more accurate representation of a solid. This is because the two models have fundamentally different assumptions and equations, making it difficult to combine them in a meaningful way. Additionally, the combination of these models may result in a more complicated and less intuitive representation.

3. Are there any other models that can accurately represent a solid?

There are many other models that have been developed to describe the behavior of solids, each with their own advantages and limitations. Some examples include the Hooke's law model, the Voigt model, and the Zener model. However, no single model can accurately represent all types of solids and their behaviors. The choice of model depends on the specific properties and behavior of the solid being studied.

4. Can the Maxwell and Kelvin-Voigt models be modified to improve their accuracy?

Modifications can be made to these models to better represent certain aspects of a solid's behavior. For example, the Maxwell model can be modified to include a relaxation time, allowing it to account for viscoelastic effects. Similarly, the Kelvin-Voigt model can be modified to incorporate elastic behavior. However, these modifications may also introduce additional assumptions and limitations that may not accurately reflect real-world behavior.

5. What are the implications of using inaccurate models to represent a solid?

The use of inaccurate models can lead to incorrect predictions and interpretations of experimental data. This can have significant implications in various fields such as material science, engineering, and physics. It is important to carefully consider the limitations of a model and choose the most appropriate one for a given situation in order to obtain accurate and reliable results.

Similar threads

  • Mechanical Engineering
Replies
4
Views
4K
  • Other Physics Topics
Replies
1
Views
1K
  • Quantum Interpretations and Foundations
Replies
21
Views
2K
  • Materials and Chemical Engineering
Replies
4
Views
9K
Replies
6
Views
1K
  • STEM Academic Advising
Replies
8
Views
822
  • Classical Physics
Replies
6
Views
5K
Replies
1
Views
1K
Replies
10
Views
2K
  • Quantum Interpretations and Foundations
2
Replies
41
Views
2K
Back
Top