What is meant by constitutive relation?
In physics and engineering, a constitutive equation or constitutive relation is a relation between two physical quantities (especially kinetic quantities as related to kinematic quantities) that is specific to a material or substance, and approximates the response of that material to external stimuli, usually as …
What is constitutive relations in structural analysis?
In structural analysis, constitutive relations connect applied stresses or forces to strains or deformations. The constitutive relations for linear materials are linear, and termed Hooke’s law.
What is a constitutive material model?
Constitutive models represent a mathematical framework to describe the material mechanical behavior in an arbitrary context. Depending on the required modeling complexity, these models can depend on a diverse number of parameters that usually represent some mechanical characteristics of the material.
What is constitutive behavior?
Finally, the stress and strain fields must be related through a set of constitutive laws. These constitutive laws characterize the mechanical behavior of the material and consist of a set of mathematical idealizations of their observed behavior.
How many constitutive equations are there?
|Equations Type||# of Equations||Independent Unknowns|
Why is the constitutive equation required?
Constitutive equation or model is a mathematical formulation which establishes a quantitative relation between two parameters and hence characterizes the material properties. It describes how the material responds to external stimuli.
What is the constitutive model of communication?
Instead of portraying communication as merely the transmission of information, the constitutive model posits that communication has power to shape reality itself (Baxter & Montgomery, 1996). As outlandish as that claim may seem, the implications of the constitutive model are borne out in many practical ways.
What is a constitutive process?
Each process is taken to contribute 100% to action, and no process is taken to be prior or primary. Considering these constitutive processes provides a basis for understanding and explaining what a person is doing, why a person is doing what they are doing, and what a person’s action means.
Who developed the constitutive theory of communication?
The American communication theorist Robert T. Craig (b. 1947) argues that in the constitutive view communication is a primary phenomenon shaping other social processes (psychological, sociological, cultural, and so on) rather than a secondary one explicable in terms of antecedent factors.
What is shear strain?
Shear strain is the ratio of displacement to an object’s original dimensions due to stress, and is the amount of deformation perpendicular to a given line rather than parallel to it.
What are constitutive relations in physics?
Constitutive relations formalize the functional dependence among physical variables characterizing motion, such as velocity, strain, stress, and energy, thereby providing the missing equations to close the system generated by the balance laws, as discussed in Part 2, while accounting for the specific behavior of the material under investigation.
What are the constitutive relations of materials?
Constitutive relations (stress-strain relations) of materials are strongly dependent on strain rates. Therefore, the dependency should be considered when designing an adhesively bonded structure subjected to impact loading based on numerical simulations.
How do you find the constitutive relation in elastoplastic analysis?
The constitutive relation is obtained by using the associative flow rule and MVM (Modified Von Mises) yield criterion. A set of differential equations of the axisymmetrical plane strain and plane stress problems is also given by the elastoplastic analysis.
What is the value of global constitutive relation error?
The global constitutive relation error is the sum of two terms which are associated with the two constitutive relations (5 ): where γ is a weighting factor belonging to [0,1]. A typical value is γ = 1 2. The norms involved in the global constitutive relation error are mechanical norms: elastic energy norm and kinetic energy norm.