How to use the Constitutive Law class

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The constitutive law behaviour is dealt with in kratos by the use of the class "ConstitutiveLaw", with a public interface defined in the file

  kratos/kratos/includes/constitutive_law.h

which also provides some rather extensive inline documentation (in the form of comments in the code).

By design such file aims to provide a very flexible interface to constitutive law modelling, with the specific goal of maximizing the flexibility in the implementation of complex constitutive behaviours. While such approach provide obvious advantages, it also implies that the API is more complex than what would be strictly needed for very simple constitutive laws.

The objective of current HowTo is to provide a brief introduction to the interface

Convenctions

Through the whole section, the following convenctions will be employed:

voigt notation: - 3D case:

 STRAIN Voigt Notation:  e00 e11 e22 2*e01 2*e12 2*e02
 STRESS Voigt Notation:  s00 s11 s22 s01     s12   s02
   const unsigned int ConstitutiveLaw::msIndexVoigt2D4C [4][2] = { {0, 0}, {1, 1}, {2, 2}, {0, 1} };
   const unsigned int ConstitutiveLaw::msIndexVoigt2D3C [3][2] = { {0, 0}, {1, 1}, {0, 1} };


- 2D plane strain/axisymmetric case (4 stress components) - 2D plane stress

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