concreteproperties.stress_strain_profile.EurocodeNonLinear#

class EurocodeNonLinear(elastic_modulus, ultimate_strain, compressive_strength, compressive_strain, tensile_strength, tension_softening_stiffness, n_points_1=10, n_points_2=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, default: 10) – Number of points to discretise the curve prior to the peak stress
n_points_2 (int, default: 3) – Number of points to discretise the curve after the peak stress

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()#

Returns the most positive stress.

Returns: Optional[float] – Compressive strength

get_elastic_modulus()#

Returns the elastic modulus of the stress-strain profile.

Returns: float – Elastic modulus

get_stress(strain)#

Returns a stress given a strain.

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

get_tensile_strength()#

Returns the most negative stress.

Returns: Optional[float] – Tensile strength

get_ultimate_compressive_strain()#

Returns the largest strain.

Returns: float – Ultimate strain

get_ultimate_tensile_strain()#

Returns the largest tensile strain.

Returns: float – Ultimate strain

get_unique_strains()#

Returns an ordered list of unique strains.

Returns: List[float] – Ordered list of unique strains

get_yield_strength()#

Returns the yield strength of the stress-strain profile.

Returns: float – Yield strength

plot_stress_strain(title='Stress-Strain Profile', fmt='o-', **kwargs)#

Plots the stress-strain profile.

Parameters

title (str, default: 'Stress-Strain Profile') – Plot title
fmt (str, default: 'o-') – Plot format string
kwargs – Passed to plotting_context()

Returns

Axes – Matplotlib axes object

print_properties(fmt='8.6e')#

Prints the stress-strain profile properties to the terminal.

Parameters: fmt (str, default: '8.6e') – Number format