VolumeWeightedWeibull Class Reference

VolumeWeightedWeibull generates a spatially randomized field that follows a Weibull distribution weighted by the factor (V_ref/V_el)^1/m, where V_ref is a reference volume from which the experimental data is obtained, V_el is the finite element volume, and m is the Weibull modulus, to account for the fact that larger material samples are more likely to contain defects. More...

#include <VolumeWeightedWeibull.h>

Inheritance diagram for VolumeWeightedWeibull:

Public Member Functions
	VolumeWeightedWeibull (const InputParameters &parameters)
virtual Real	value (const Point &p) override

Static Public Member Functions
static InputParameters	validParams ()

Protected Attributes
const Real	_reference_volume
	The reference volume of the test specimen from which a median strength is obtained. More...
const Real	_weibull_modulus
	The Weibull modulus. More...
const Real	_median
	The median value of the strength for specimens having volume equal to the reference volume. More...

Detailed Description

VolumeWeightedWeibull generates a spatially randomized field that follows a Weibull distribution weighted by the factor (V_ref/V_el)^1/m, where V_ref is a reference volume from which the experimental data is obtained, V_el is the finite element volume, and m is the Weibull modulus, to account for the fact that larger material samples are more likely to contain defects.

This follows the approach of Strack, Leavy, and Brannon, IJNME (2015) https://doi.org/10.1002/nme

Definition at line 33 of file VolumeWeightedWeibull.h.

Constructor & Destructor Documentation

VolumeWeightedWeibull()

VolumeWeightedWeibull::VolumeWeightedWeibull

(

const InputParameters &

parameters

)

Definition at line 30 of file VolumeWeightedWeibull.C.

  : RandomICBase(parameters),
    _reference_volume(getParam<Real>("reference_volume")),
    _weibull_modulus(getParam<Real>("weibull_modulus")),
    _median(getParam<Real>("median"))
{
}

Member Function Documentation

validParams()

InputParameters VolumeWeightedWeibull::validParams ( )

static

Definition at line 17 of file VolumeWeightedWeibull.C.

{
  InputParameters params = RandomICBase::validParams();
  params.addRequiredParam<Real>("reference_volume", "Reference volume (of a test specimen)");
  params.addRequiredParam<Real>("weibull_modulus", "Weibull modulus");
  params.addParam<Real>(
      "median",
      "Median value of property measured in a specimen of volume equal to reference_volume");
  params.addClassDescription("Initialize a variable with randomly generated numbers following "
                             "a volume-weighted Weibull distribution");
  return params;
}

value()

Real VolumeWeightedWeibull::value ( const Point &  p )

overridevirtual

Definition at line 39 of file VolumeWeightedWeibull.C.

{
  const Real & element_volume = _current_elem->volume();
 
  return _median *
         std::pow(_reference_volume * std::log(generateRandom()) / (element_volume * std::log(0.5)),
                  1.0 / _weibull_modulus);
}

Member Data Documentation

_median

const Real VolumeWeightedWeibull::_median

protected

The median value of the strength for specimens having volume equal to the reference volume.

Definition at line 48 of file VolumeWeightedWeibull.h.

Referenced by value().

_reference_volume

const Real VolumeWeightedWeibull::_reference_volume

protected

The reference volume of the test specimen from which a median strength is obtained.

Definition at line 44 of file VolumeWeightedWeibull.h.

Referenced by value().

_weibull_modulus

const Real VolumeWeightedWeibull::_weibull_modulus

protected

The Weibull modulus.

Definition at line 46 of file VolumeWeightedWeibull.h.

Referenced by value().

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The documentation for this class was generated from the following files:

• tensor_mechanics/include/ics/VolumeWeightedWeibull.h
• tensor_mechanics/src/ics/VolumeWeightedWeibull.C