ElasticSolid

class osaft.core.solids.ElasticSolid(frequency, E, nu, rho)[source]

Bases: RigidSolid

ElasticSolid class

Parameters:

frequency – excitation frequency in [Hz]
E – Young’s modulus in [Pa]
nu – Poisson’s ratio in [-]
rho – density in [km m^-3]

Public Data Attributes:

`E_s`	Young's modulus of the solid \(E_{s}\) [Pa].
`nu_s`	Poisson's ratio of the solid \(\nu_{s}\).
`G`	Returns the shear modulus \(G\).
`B_s`	Returns the bulk modulus of the solid \(B_{s}\) [Pa]
`kappa_s`	Returns the compressibility of the solid \(\kappa_{s}\) [1/Pa]
`c_l`	Returns the longitudinal wave speed in the solid \(c_l\) [m/s]
`c_t`	Return the transverse wave speed in the solid \(c_t\) [m/s]
`k_l`	Returns the longitudinal wave number in the solid \(k_l\) [1/m]
`k_t`	Returns the transverse wave number in the solid \(k_t\) [1/m]
`lame_1`	Returns the first Lamé parameter \(\lambda\) [Pa]
`lame_2`	Returns the second Lamé parameter \(\mu\)

Inherited from RigidSolid

rho_s

Density of the solid \(\rho_{s}\).

Inherited from BaseFrequencyComposite

`f`	wrapper for `osaft.core.frequency.Frequency.f`
`omega`	wrapper for `osaft.core.frequency.Frequency.omega`

Public Methods:

`E_from_wave_speed`(c_1, c_2, rho)	Computes the Young's modulus \(E\) from the primary and the secondary wave speed \(c_1\), \(c_2\) and the density \(\rho\).
`nu_from_wave_speed`(c_1, c_2)	Computes the Poisson's ratio \(\nu\) from the primary and the secondary wave speed \(c_1\), \(c_2\), and the density \(\rho\).
`lambda_from_wave_speed`(c_1, c_2, rho)	Computes the Lamé first parameter \(\lambda\) from the primary and the secondary wave speed \(c_1\), \(c_2\) and the density \(\rho\).
`G_from_wave_speed`(c_2, rho)	Computes the second Lamé parameter \(G\) from the secondary wave speed \(c_2\) and the density \(\rho\).
`c1_from_E_nu`(E, nu, rho)	Computes the primary wave speed \(c_1\) from the Young's modulus \(E\) and the Poisson's ratio \(\nu\), and the density \(\rho\).
`c2_from_E_nu`(E, nu, rho)	Computes the secondary wave speed \(c_2\) from the Young's modulus \(E\) and the Poisson's ratio \(\nu\), and the density \(\rho\).
`c1_from_Lame`(lam, G, rho)	Computes the primary wave speed \(c_1\) from the Lamé parameters \(\lambda\), \(G\), and the density \(\rho\).
`c2_from_Lame`(G, rho)	Computes the secondary wave speed \(c_2\) from the Lamé parameters \(\lambda\), \(G\), and the density \(\rho\).
`E_from_Lame`(lam, G)	Computes the Young's modulus \(E\) from the Lamé parameters \(\lambda\), \(G\)
`nu_from_Lame`(lam, G)	Computes the the Poisson's ratio \(\nu\) from the Lamé parameters \(\lambda\), \(G\).
`lambda_from_E_nu`(E, nu)	Computes the first Lamé parameters \(\lambda\) from the Young's modulus \(E\) and the Poisson's ratio \(\nu\).
`G_from_E_nu`(E, nu)	Computes the second Lamé parameters \(G\) from the Young's modulus \(E\) and the Poisson's ratio \(\nu\).

Inherited from BaseFrequencyComposite

input_variables()

Returns all properties that are settable.

static E_from_Lame(lam, G)[source]

Computes the Young’s modulus \(E\) from the Lamé parameters \(\lambda\), \(G\)

Parameters:

lam (float) – first Lamé parameter [Pa]
G (float) – second Lamé parameter [Pa]

Return type:

float

static E_from_wave_speed(c_1, c_2, rho)[source]

Computes the Young’s modulus \(E\) from the primary and the secondary wave speed \(c_1\), \(c_2\) and the density \(\rho\).

Parameters:

c_1 (float) – primary wave speed [m/s]
c_2 (float) – secondary wave speed [m/s]
rho (float) – density [kg/m^3]

Return type:

float

static G_from_E_nu(E, nu)[source]

Computes the second Lamé parameters \(G\) from the Young’s modulus \(E\) and the Poisson’s ratio \(\nu\).

Parameters:

E (float) – Young;s modulus [Pa]
nu (float) – Poisson’s ratio [-]

Return type:

float

static G_from_wave_speed(c_2, rho)[source]

Computes the second Lamé parameter \(G\) from the secondary wave speed \(c_2\) and the density \(\rho\).

Parameters:

c_2 (float) – secondary wave speed [m/s]
rho (float) – density [kg/m^3]

Return type:

float

static c1_from_E_nu(E, nu, rho)[source]

Computes the primary wave speed \(c_1\) from the Young’s modulus \(E\) and the Poisson’s ratio \(\nu\), and the density \(\rho\).

Parameters:

E (float) – Young;s modulus [Pa]
nu (float) – Poisson’s ratio [-]
rho (float) – density [kg/m^3]

Return type:

float

static c1_from_Lame(lam, G, rho)[source]

Computes the primary wave speed \(c_1\) from the Lamé parameters \(\lambda\), \(G\), and the density \(\rho\).

Parameters:

lam (float) – first Lamé parameter [Pa]
G (float) – second Lamé parameter [Pa]
rho (float) – density [kg/m^3]

Return type:

float

static c2_from_E_nu(E, nu, rho)[source]

Computes the secondary wave speed \(c_2\) from the Young’s modulus \(E\) and the Poisson’s ratio \(\nu\), and the density \(\rho\).

Parameters:

E (float) – Young;s modulus [Pa]
nu (float) – Poisson’s ratio [-]
rho (float) – density [kg/m^3]

Return type:

float

static c2_from_Lame(G, rho)[source]

Computes the secondary wave speed \(c_2\) from the Lamé parameters \(\lambda\), \(G\), and the density \(\rho\).

Parameters:

G (float) – second Lamé parameter [Pa]
rho (float) – density [kg/m^3]

Return type:

float

classmethod input_variables()

Returns all properties that are settable.

Returns a list of the names of all properties that are settable, i.e. all properties that wrap a PassiveVariable.

Return type:: list[str]

classmethod lambda_from_E_nu(E, nu)[source]

Computes the first Lamé parameters \(\lambda\) from the Young’s modulus \(E\) and the Poisson’s ratio \(\nu\).

Parameters:

E (float) – Young;s modulus [Pa]
nu (float) – Poisson’s ratio [-]

Return type:

float

static lambda_from_wave_speed(c_1, c_2, rho)[source]

Computes the Lamé first parameter \(\lambda\) from the primary and the secondary wave speed \(c_1\), \(c_2\) and the density \(\rho\).

Parameters:

c_1 (float) – primary wave speed [m/s]
c_2 (float) – secondary wave speed [m/s]
rho (float) – density [kg/m^3]

Return type:

float

static nu_from_Lame(lam, G)[source]

Computes the the Poisson’s ratio \(\nu\) from the Lamé parameters \(\lambda\), \(G\).

Parameters:

lam (float) – first Lamé parameter [Pa]
G (float) – second Lamé parameter [Pa]

Return type:

float

static nu_from_wave_speed(c_1, c_2)[source]

Computes the Poisson’s ratio \(\nu\) from the primary and the secondary wave speed \(c_1\), \(c_2\), and the density \(\rho\).

Parameters:

c_1 (float) – primary wave speed [m/s]
c_2 (float) – secondary wave speed [m/s]

Return type:

float

property B_s: float: Returns the bulk modulus of the solid \(B_{s}\) [Pa]

property E_s: float

Young’s modulus of the solid \(E_{s}\) [Pa].

Getter:: returns the value for the Young’s modulus
Setter:: automatically invokes osaft.core.variable.BaseVariable.notify()

property G: float: Returns the shear modulus \(G\).

property c_l: float: Returns the longitudinal wave speed in the solid \(c_l\) [m/s]

property c_t: float: Return the transverse wave speed in the solid \(c_t\) [m/s]

property f: float: wrapper for osaft.core.frequency.Frequency.f

property k_l: float: Returns the longitudinal wave number in the solid \(k_l\) [1/m]

property k_t: float: Returns the transverse wave number in the solid \(k_t\) [1/m]

property kappa_s: float: Returns the compressibility of the solid \(\kappa_{s}\) [1/Pa]

property lame_1: float: Returns the first Lamé parameter \(\lambda\) [Pa]

property lame_2: float: Returns the second Lamé parameter \(\mu\)

property nu_s: float

Poisson’s ratio of the solid \(\nu_{s}\).

Getter:: returns the value for the Poisson’s ratio
Setter:: automatically invokes osaft.core.variable.BaseVariable.notify()

property omega: float: wrapper for osaft.core.frequency.Frequency.omega

property rho_s: float

Density of the solid \(\rho_{s}\).

Getter:: returns the value for the density
Setter:: automatically invokes osaft.core.variable.BaseVariable.notify()