Implements the tension stiffening approach according to the proposal by [2]. More...

Inheritance diagram for fosanalysis.compensation.tensionstiffening.Berrocal:

Public Member Functions
	__init__ (self, float alpha, float rho, args, *kwargs)
	Constructs a TensionStiffeningCompensator object with according to the proposal by[2].

np.array	run (self, np.array x, np.array strain, list crack_list, args, *kwargs)
	Compensates for the strain, that does not contribute to a crack, but is located in the uncracked concrete.

Public Member Functions inherited from fosanalysis.compensation.tensionstiffening.TensionStiffeningCompensator
	__init__ (self, args, *kwargs)
	Constructs a TensionStiffeningCompensator object.

Public Member Functions inherited from fosanalysis.compensation.compensator.Compensator
	__init__ (self, args, *kwargs)
	Base class for any compensatory class.

Public Member Functions inherited from fosanalysis.utils.base.Task
	__init__ (self, args, *kwargs)

Public Member Functions inherited from fosanalysis.utils.base.Base
	__init__ (self, args, *kwargs)
	Construct the object and warn about unused/unknown arguments.

Public Attributes
	alpha = alpha
	Ratio of Young's moduli of steel to concrete \(\alpha = \frac{E_{\mathrm{s}}}{E_{\mathrm{c}}}\).

	rho = rho
	Reinforcement ratio of steel to concrete \(\rho = \frac{A_{\mathrm{s}}}{A_{\mathrm{c,ef}}}\).

Detailed Description

Implements the tension stiffening approach according to the proposal by [2].

The concrete strain \(\varepsilon^{\mathrm{ts}}(x)\) is assumed to the difference between the real strain profile \(\varepsilon^{\mathrm{DOFS}}(x)\) and the linear interpolation between the peaks \(\hat{\varepsilon}(x)\) reduced by the reinforcement ratio rho \(\rho\) and Young's moduli ratio alpha \(\alpha\):

\[ \varepsilon^{\mathrm{TS}}(x) = \rho \alpha \left(\hat{\varepsilon}(x) - \varepsilon^{\mathrm{DOFS}}(x)\right). \]

Outside of the outermost cracks (index \(0\) and \(n\)), \(\hat{\varepsilon}(x)\) assumed to be constant at the peak strain of the outermost crack:

\[ \hat{\varepsilon}(x) = \begin{cases} \varepsilon_{\mathrm{cr},0} &\text{ if } x < x_{\mathrm{cr}, 0}\\ \varepsilon_{\mathrm{cr},n} &\text{ if } x_{\mathrm{cr}, n} < x. \end{cases} \]

The interpolation is done using numpy.interp().

Definition at line 41 of file tensionstiffening.py.

Constructor & Destructor Documentation

◆ init()

fosanalysis.compensation.tensionstiffening.Berrocal.__init__	(		self,
		float	alpha,
		float	rho,
		*	args,
		**	kwargs )

Constructs a TensionStiffeningCompensator object with according to the proposal by[2].

Parameters

alpha	Ratio of Young's moduli of steel to concrete \(\alpha = \frac{E_{\mathrm{s}}}{E_{\mathrm{c}}}\). For more, see alpha.
rho	Reinforcement ratio of steel to concrete \(\rho = \frac{A_{\mathrm{s}}}{A_{\mathrm{c,ef}}}\). For more, see rho.
*args	Additional positional arguments, will be passed to the superconstructor.
**kwargs	Additional keyword arguments, will be passed to the superconstructor.

Definition at line 59 of file tensionstiffening.py.

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Member Function Documentation

◆ run()

np.array fosanalysis.compensation.tensionstiffening.Berrocal.run	(		self,
		np.array	x,
		np.array	strain,
		list	crack_list,
		*	args,
		**	kwargs )

Compensates for the strain, that does not contribute to a crack, but is located in the uncracked concrete.

An array with the compensation values for each measuring point is returned. Every TensionStiffeningCompensator has a run() method, which takes the following parameters:

Parameters

x	Positional x values.
strain	List of strain values.
crack_list	fosanalysis.crackmonitoring.cracks.CrackList with fosanalysis.crackmonitoring.cracks.Crack objects, that already have assigned locations.
*args	Additional positional arguments to customize the behavior.
**kwargs	Additional keyword arguments to customize the behavior.

Reimplemented from fosanalysis.compensation.tensionstiffening.TensionStiffeningCompensator.

Definition at line 75 of file tensionstiffening.py.

Member Data Documentation

◆ alpha

fosanalysis.compensation.tensionstiffening.Berrocal.alpha = alpha

Ratio of Young's moduli of steel to concrete \(\alpha = \frac{E_{\mathrm{s}}}{E_{\mathrm{c}}}\).

Definition at line 72 of file tensionstiffening.py.

◆ rho

fosanalysis.compensation.tensionstiffening.Berrocal.rho = rho

Reinforcement ratio of steel to concrete \(\rho = \frac{A_{\mathrm{s}}}{A_{\mathrm{c,ef}}}\).

Definition at line 74 of file tensionstiffening.py.

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

src/fosanalysis/compensation/tensionstiffening.py

Public Member Functions

Public Attributes