EurocodeNonLinear¶

class concreteproperties.stress_strain_profile.EurocodeNonLinear(elastic_modulus: float, ultimate_strain: float, compressive_strength: float, compressive_strain: float, tensile_strength: float, tension_softening_stiffness: float, n_points_1: int = 10, n_points_2: int = 3)[source]¶

Bases: ConcreteServiceProfile

Class for a non-linear stress-strain relationship to EC2.

Tension is modelled with a symmetric elastic_modulus until failure at tensile_strength, after which the tensile stress reduces according to the tension_softening_stiffness.

Parameters:

elastic_modulus (float) – Concrete elastic modulus (\(E_{cm}\))
ultimate_strain (float) – Concrete strain at failure (\(\epsilon_{cu1}\))
compressive_strength (float) – Concrete compressive strength (\(f_{cm}\))
compressive_strain (float) – Strain at which the concrete stress equals the compressive strength (\(\epsilon_{c1}\))
tensile_strength (float) – Concrete tensile strength
tension_softening_stiffness (float) – Slope of the linear tension softening branch
n_points_1 (int) – Number of points to discretise the curve prior to the peak stress. Defaults to 10.
n_points_2 (int) – Number of points to discretise the curve after the peak stress. Defaults to 3.

Methods

`get_compressive_strength`	Returns the most positive stress.
`get_elastic_modulus`	Returns the elastic modulus of the stress-strain profile.
`get_stress`	Returns a stress given a strain.
`get_tensile_strength`	Returns the most negative stress.
`get_ultimate_compressive_strain`	Returns the largest strain.
`get_ultimate_tensile_strain`	Returns the largest tensile strain.
`get_unique_strains`	Returns an ordered list of unique strains.
`get_yield_strength`	Returns the yield strength of the stress-strain profile.
`plot_stress_strain`	Plots the stress-strain profile.
`print_properties`	Prints the stress-strain profile properties to the terminal.

Attributes

`n_points_1`
`n_points_2`
`strains`
`stresses`
`elastic_modulus`
`ultimate_strain`
`compressive_strength`
`compressive_strain`
`tensile_strength`
`tension_softening_stiffness`

get_compressive_strength() → float | None¶

Returns the most positive stress.

Returns:: Compressive strength
Return type:: float | None

get_elastic_modulus() → float¶

Returns the elastic modulus of the stress-strain profile.

Returns:: Elastic modulus
Return type:: float

get_stress(strain: float) → float¶

Returns a stress given a strain.

Parameters:: strain (float) – Strain at which to return a stress.
Returns:: Stress
Return type:: float

get_tensile_strength() → float | None¶

Returns the most negative stress.

Returns:: Tensile strength
Return type:: float | None

get_ultimate_compressive_strain() → float¶

Returns the largest strain.

Returns:: Ultimate strain
Return type:: float

get_ultimate_tensile_strain() → float¶

Returns the largest tensile strain.

Returns:: Ultimate strain
Return type:: float

get_unique_strains() → list[float]¶

Returns an ordered list of unique strains.

Returns:: Ordered list of unique strains
Return type:: list[float]

get_yield_strength() → float¶

Returns the yield strength of the stress-strain profile.

Raises:: NotImplementedError – If this method has not been implemented by the child class
Return type:: float

plot_stress_strain(title: str = 'Stress-Strain Profile', fmt: str = 'o-', **kwargs) → matplotlib.axes.Axes¶

Plots the stress-strain profile.

Parameters:

title (str) – Plot title. Defaults to "Stress-Strain Profile".
fmt (str) – Plot format string. Defaults to "o-".
kwargs – Passed to plotting_context()

Returns:

Matplotlib axes object

Return type:

matplotlib.axes.Axes

print_properties(fmt: str = '8.6e') → None¶

Prints the stress-strain profile properties to the terminal.

Parameters:: fmt (str) – Number format