What is meant by constitutive law?
The constitutive laws for a substance, whether solid or fluid, are the relations between the forces imposed on that substance and the resulting deformation at a macroscopic level. A substance can have many different constitutive laws pertaining to different deformations.
What is meant by constitutive relationship?
A constitutive relation approximates the observed physical behavior of a material under specific conditions of interest. To summarize, constitutive relations are required for two reasons: To bring in the material dependence in the force displacement relation.
What are constitutive models?
Constitutive models describe the material responses to different mechanical and/or thermal loading conditions, which provide the stress–strain relations to formulate the governing equations, together with the conservation laws and kinematic relations.
How many constitutive equations are there?
BME 456: Constitutive Equations: Elasticity. We have 12 equations of which 9 are independent, and 21 unknowns, of which there are 15 independent unknowns after accounting for symmetry: 6 stresses, 6 strains, and 3 displacements.
What is another word for constitutive?
In this page you can discover 19 synonyms, antonyms, idiomatic expressions, and related words for constitutive, like: integral, basic, constitutional, essential, fundamental, vital, be, surface, constituent, normative and dialectical.
What are compatibility equations?
Compatibility equations include both the radial direction, having to do with roller-raceway contact, and tangential direction, having to do with roller-to-roller contact.
What is the constitutive?
1 : having the power to enact or establish : constructive. 2 : constituent, essential. 3 : relating to or dependent on constitution a constitutive property of all electrolytes.
What does it mean to be constitutive?
What is constitutive mutation?
A constitutive mutant is one in which the gene product is produced continually, that is there is no control over its expression. In these mutants, the above proteins were produced all the time in comparison to the wild type where the proteins only appeared in the presence of lactose.
Why do we need compatibility equations?
The compatibility conditions will be needed if you wish to compute displacements given strains. However, most numerical formulations of mechanics are displacement-driven and the need for those equations typically does not arise because one uses: displacement -> strain -> stress -> force.
What is the difference between constitutive definition and operational definition?
A constitutive definition defines a construct using other constructs. An operational definition assigns meaning to a construct or a variable by specifying the activities or “operations” necessary to measure it and evaluate the measurement.
What is the medical definition of the word constitutive?
Medical Definition of constitutive. 1 a : of, relating to, or being an enzyme or protein produced in relatively constant amounts in all cells of an organism without regard to cell environmental conditions (as the concentration of a substrate) — compare inducible sense a.
What is the constitutive equation for a linear material?
In an ( isotropic) linear material, where P is proportional to E, and M is proportional to B, the constitutive relations are also straightforward. In terms of the polarization P and the magnetization M they are: where χe and χm are the electric and magnetic susceptibilities of a given material respectively.
What are the objectives of Module 3 constitutive equations?
Module 3 Constitutive Equations Learning Objectives Understand basic stress-strain response of engineering materials. Quantify the linear elastic stress-strain response in terms of tensorial quantities and in particular the fourth-order elasticity or sti\ness tensor describing Hooke’s Law.
How are constitutive equations determined in condensed matter?
The theoretical calculation of a material’s constitutive equations is a common, important, and sometimes difficult task in theoretical condensed-matter physics and materials science. In general, the constitutive equations are theoretically determined by calculating how a molecule responds to the local fields through the Lorentz force.
