Understanding Constitutive Definitions in Cont. Mech.: What Does It Mean?

Thread starter mohammed El-Kady
Start date Jan 13, 2019
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SUMMARY

The discussion centers on the concept of constitutive definitions in Continuum Mechanics (Cont. Mech.), specifically addressing the relationship between volume supply and production, denoted as phi. The equation referenced highlights that the distinction between these two quantities is only meaningful when contextualized within the material's constitutive definition. Continuum Mechanics is a branch of mechanics that deals with the mechanical behavior of materials modeled as continuous mass rather than discrete particles.

PREREQUISITES

Understanding of Continuum Mechanics principles
Familiarity with constitutive models and definitions
Basic knowledge of material science
Mathematical proficiency in differential equations

NEXT STEPS

Research common constitutive models used in Continuum Mechanics
Study the implications of volume supply and production in material behavior
Explore advanced topics in Continuum Mechanics, such as elasticity and plasticity
Learn about the mathematical foundations of Continuum Mechanics, including tensor calculus

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Students and professionals in engineering, particularly those specializing in materials science, mechanical engineering, and applied physics, will benefit from this discussion on Continuum Mechanics and its constitutive definitions.

Jan 13, 2019

mohammed El-Kady

while I study in cont. mech. I found this equation and in the index he mention that "the difference between the volume supply and the production phi can be recognized only in relation to the constitutive definition of the material"
what does it mean?