Resources for Creating Constitutive Equations

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In summary, the conversation discussed the challenges of constructing new constitutive equations and proposed the use of books or articles as references. The reference mentioned is Kanninen's book, which covers various constitutive relations for soils and rocks. By using this reference, the speaker was able to develop a new version of the Mohr-Coulomb model that incorporates strain-hardening effects, with the help of the equations and theoretical basis provided in the book.
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JTVT
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The process of constructing new constitutive equations is a tricky task for two main reasons. First, there is no list of known constitutive relations so you could just be reinventing the wheel. Second, there are many assumptions that need to be made and verified. To overcome these challenge I would like us to post books or articles that either contain constitutive equations or have helped to develop new constitutive equations.

Rules
1. Only one reference per post (of course you can make multiple posts)
2. List what constitutive equations are found in the reference
3. List what new constitutive equations you developed by using the reference and how the reference helped you develop the new constitutive equation
 
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. Reference:Kanninen, M.F., 1985. Constitutive equations for the deformation of soils and rocks. Berlin, Germany: Springer-Verlag.Constitutive equations found in reference: This book provides a comprehensive overview of constitutive relations for soils and rocks, including Mohr-Coulomb, Hoek-Brown, Drucker-Prager, Cam Clay, and others. New constitutive equations developed with the reference: Using this reference, I was able to develop a new version of the Mohr-Coulomb model that incorporates strain-hardening effects. The reference provided the necessary equations and theoretical basis for incorporating strain-hardening into the Mohr-Coulomb model.
 

Related to Resources for Creating Constitutive Equations

1. What are resources for creating constitutive equations?

Resources for creating constitutive equations can include textbooks, research articles, online databases, and software programs. These resources can provide information on different mathematical models and methods for constructing constitutive equations.

2. How do I determine which constitutive equation to use?

The choice of constitutive equation depends on the specific material or system being studied and the type of behavior being observed. It is important to carefully consider the underlying assumptions and limitations of each equation before selecting one for use.

3. Can I create my own constitutive equation?

Yes, it is possible to create your own constitutive equation. However, this requires a strong understanding of the underlying principles and mathematical concepts involved. It is also important to validate the equation through experimentation and comparison with existing models.

4. Are there any software programs specifically designed for creating constitutive equations?

Yes, there are software programs available that can assist in creating constitutive equations. These programs often have built-in databases of material properties and can perform complex calculations and simulations to determine the most appropriate equation for a given material or system.

5. Are there any limitations to using constitutive equations?

While constitutive equations are useful for describing the behavior of materials and systems, they are not always accurate in all situations. It is important to understand the limitations of each equation and to carefully validate its use in a specific scenario. Additionally, constitutive equations may not always be able to capture complex phenomena and may require simplifications or assumptions to be made.

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