Difference between revisions of "Linear Traction Law"
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== Failure == | == Failure == | ||
This traction does not fail or release energy; as COD increases, the traction keeps increasing. If you want to model failure, use a [[Triangular Traction Law | This traction does not fail or release energy; as COD increases, the traction keeps increasing. If you want to model failure, use a [[Triangular Traction Law|trangular traction law]] instead. For example, to model a linear law that suddenly drops to zero stress at some critical COD, use a [[Triangular Traction Law|trangular traction law]] with the same elastic slope, enter the critical COD (δ<sub>c</sub>), and set its [[Triangular Traction Law#Traction Law Properties|delpkI and/or delpkII parameters]] to 1. The toughness of this law would be | ||
| | ||
<math>J_c = {1\over 2} k \delta_c^2 | <math>J_c = {1\over 2} k \delta_c^2</math> | ||
== Traction Law Properties == | == Traction Law Properties == | ||
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{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! Property !! Description !! Units !! Default | |||
|- | |- | ||
| kIIe || The elastic slope, k, in mode II || | | kIe || The elastic slope, k, in mode I || [[ConsistentUnits Command#Legacy and Consistent Units|pressure/length units]] || 0 | ||
|- | |||
| kIIe || The elastic slope, k, in mode II || [[ConsistentUnits Command#Legacy and Consistent Units|pressure/length units]] || 0 | |||
|} | |} | ||
== Traction History Variables == | |||
This material tracks no history variables. | |||
Latest revision as of 21:07, 2 January 2021
The Traction Law
This traction law applies a linearly increasing stress and it never fails.
Failure
This traction does not fail or release energy; as COD increases, the traction keeps increasing. If you want to model failure, use a trangular traction law instead. For example, to model a linear law that suddenly drops to zero stress at some critical COD, use a trangular traction law with the same elastic slope, enter the critical COD (δc), and set its delpkI and/or delpkII parameters to 1. The toughness of this law would be
[math]\displaystyle{ J_c = {1\over 2} k \delta_c^2 }[/math]
Traction Law Properties
The following properties are used to create a linear traction law:
| Property | Description | Units | Default |
|---|---|---|---|
| kIe | The elastic slope, k, in mode I | pressure/length units | 0 |
| kIIe | The elastic slope, k, in mode II | pressure/length units | 0 |
Traction History Variables
This material tracks no history variables.