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[Docs/StructApp] Restructuring docs for Struct app and adding Bushing Element documentation
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sunethwarna authored Oct 22, 2024
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---
title: KratosStructuralMechanicsAPI Constitutive laws in Structural Mechanics Application
keywords:
title: Constitutive laws
keywords: [structural constitutive laws api]
tags: [KratosStructuralMechanicsAPI-Constitutive-laws-in-Structural-Mechanics-Application.md]
sidebar: structural_mechanics_application
summary:
Expand All @@ -14,26 +14,41 @@ Since this is a work-in-progress, we are going to describe the present state of

At this point, there are some Constitutive Laws (CL from now on) that are available and ready to use:

1. [Isotropic Elasticity (2D, 3D, Axisymmetric, truss, beam)](#isotropic-elasticity)
2. [HyperElasticity (2D, 3D)](#hyperelasticity)
1. [Kirchhoff Material](#kirchhoff-material)
2. [Neo-Hookean Material](#neo-hookean-material)
3. [Isotropic Plasticity (3D)](#isotropic-plasticity)
1. [Brief summary of the modualr design](#brief-summary-of-the-modular-design)
1. [Introduction](#introduction)
2. [Yield Surface](#yield-surface)
3. [Plastic Potential](#plastic-potential)
1. [Flow Rules](#flow-rules)
2. [Small Strain Plasticity](#small-strain-plasticity)
1. [General description](#general-description)
2. [Constitutive Law Integrator](#constitutive-law-integrator)
3. [Finite Strain Plasticity](#finite-strain-plasticity)
1. [General description](#general-description)
4. [Kinematic Plasticity (3D)]
4. [Isotropic Damage (3D)](#isotropic-damage)
5. [ViscoElasticity (3D)](#)
6. [ViscoPlasticity (3D)](#)
7. [d+d- Damage Model](#d+d-damage-model)
- [Overview](#overview)
- [Isotropic Elasticity](#isotropic-elasticity)
- [HyperElasticity](#hyperelasticity)
- [Common properties](#common-properties)
- [Kirchhoff Material](#kirchhoff-material)
- [Neo-Hookean Material](#neo-hookean-material)
- [Isotropic Plasticity](#isotropic-plasticity)
- [Brief summary of the modular design](#brief-summary-of-the-modular-design)
- [Introduction](#introduction)
- [Yield Surface](#yield-surface)
- [Plastic Potential](#plastic-potential)
- [Flow Rules](#flow-rules)
- [Small Strain Plasticity](#small-strain-plasticity)
- [General Description](#general-description)
- [Constitutive Law Integrator](#constitutive-law-integrator)
- [Finite Strain Plasticity](#finite-strain-plasticity)
- [General Description](#general-description-1)
- [How to use it?](#how-to-use-it)
- [Small Strain Isotropic Damage](#small-strain-isotropic-damage)
- [General Description](#general-description-2)
- [How to use it?](#how-to-use-it-1)
- [Small Strain d+d- Damage](#small-strain-dd--damage)
- [General Description](#general-description-3)
- [How to use it?](#how-to-use-it-2)
- [ViscoElasticity](#viscoelasticity)
- [General Description](#general-description-4)
- [Generalized Maxwell model](#generalized-maxwell-model)
- [How to use it?](#how-to-use-it-3)
- [Generalized Kelvin model](#generalized-kelvin-model)
- [How to use it?](#how-to-use-it-4)
- [ViscoPlasticity](#viscoplasticity)
- [Appendix](#appendix)
- [The Mohr-Coulomb modified yield surface](#the-mohr-coulomb-modified-yield-surface)
- [References](#references)
- [Contact us!](#contact-us)

A description of the previous models will be done in the following paragraphs.

Expand Down Expand Up @@ -238,7 +253,7 @@ The parameters needed for the plasticity (neglecting the young modulus and poiss
* `FRICTION_ANGLE`: Defines the friction angle value in degrees
* `DILATANCY_ANGLE`: Defines the dilatancy angle value in degrees (usually 0.5*friction_angle)

# Small Strain Isotropic Damage
# Small Strain Isotropic Damage

## General Description

Expand Down Expand Up @@ -283,7 +298,7 @@ The parameters are the following (use International System):
* `FRICTION_ANGLE`: Defines the friction angle value in degrees
* `SOFTENING_TYPE`: Defines the softening type (linear softening=0, exponential softening=1)

# Small Strain d+d- Damage
# Small Strain d+d- Damage

## General Description

Expand All @@ -296,7 +311,7 @@ Once we have Decomposed the stress tensor we proceed to the calculation of the d

![plasti.](https://raw.githubusercontent.com/KratosMultiphysics/Documentation/master/Wiki_files/CL%20StructuralMech/integrated.png)

In order to guarantee flexibility, we have designed an structure capable of combining different yield surfaces in tension and in compression. This has been achieved by _templating_ two integrators named **TConstLawIntegratorTensionType** and
In order to guarantee flexibility, we have designed an structure capable of combining different yield surfaces in tension and in compression. This has been achieved by _templating_ two integrators named **TConstLawIntegratorTensionType** and
**TConstLawIntegratorCompressionType** which define the tension/compression yield surfaces and flow rules.

The implementation is described below (`generic_small_strain_d_plus_d_minus_damage.cpp`):
Expand Down Expand Up @@ -342,7 +357,7 @@ The parameters required for this model have been explained previously and the wa
1. Rankine
2. Tresca
3. VonMises
4. ModifiedMohrCoulomb
4. ModifiedMohrCoulomb
5. DruckerPrager
6. SimoJu
7. Classical Mohr-Coulomb
Expand Down Expand Up @@ -455,7 +470,7 @@ where the stress function "_f_" is expressed as[1] (being θ the Lode's angle, I

Through this new Mohr-Coulomb modified function any strength relation required by
the different materials can be established by only modifying **K**i , without increasing
dilatancy.
dilatancy.

The values of the **K**i and the parameters required can be seen in the figures below[1].

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---
title: Overview
keywords:
tags: [Overview.md]
sidebar: structural_mechanics_application
summary:
---
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{
"custom_entries": [
"Overview.md"
]
}
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{
"side_bar_name": "structural_mechanics_application",
"landing_page": "General/0_Roll-up-beam-cantilever.md",
"landing_page": "General/Overview.md",
"additional_menu_options": {
"product": "Structural Mechanics Application",
"title": "sidebar"
}
},
"custom_entries": [
"General",
"Elements",
"Examples"
]
}

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