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The first constitutive equation (constitutive law) was developed by Robert Hooke and is known as Hooke's law.It deals with the case of linear elastic materials.Following this discovery, this type of equation, often called a "stress-strain relation" in this example, but also called a "constitutive assumption" or an "equation of state" was commonly used.
A governing equation may also be a state equation, an equation describing the state of the system, and thus actually be a constitutive equation that has "stepped up the ranks" because the model in question was not meant to include a time-dependent term in the equation.
Constitutive may refer to: In physics, a constitutive equation is a relation between two physical quantities In ecology , a constitutive defense is one that is always active, as opposed to an inducible defense
In physics, transport phenomena are all irreversible processes of statistical nature stemming from the random continuous motion of molecules, mostly observed in fluids.Every aspect of transport phenomena is grounded in two primary concepts : the conservation laws, and the constitutive equations.
1.4 Biology. 1.5 Economics. ... Constitutive equation; Laws of science; Defining equation (physical chemistry) ... List of equations in nuclear and particle physics ...
This definition assumes that the effect of temperature can be ignored, and the body is homogeneous. This is the constitutive equation for a Cauchy-elastic material. Note that the function depends on the choice of reference configuration. Typically, the reference configuration is taken as the relaxed (zero-stress) configuration, but need not be.
Linear material constitutive relations in physics can be expressed in the form f = K ⋅ d {\displaystyle \mathbf {f} ={\boldsymbol {K}}\cdot \mathbf {d} } where d , f {\displaystyle \mathbf {d} ,\mathbf {f} } are two vectors representing physical quantities and K {\displaystyle {\boldsymbol {K}}} is a second-order material tensor.
These directional differences in strength can be quantified with Hankinson's equation. They are a subset of anisotropic materials, because their properties change when measured from different directions. A familiar example of an orthotropic material is wood. In wood, one can define three mutually perpendicular directions at each point in which ...