'Thought Provoking' Request: UnOptimal ContinuumMechanics Terminology?

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The discussion centers on the terminology used in continuum mechanics, specifically the definitions of 'Ideal Fluid' and 'Ideal Solid.' An 'Ideal Fluid' is characterized by zero shear modulus and is described by constitutive models such as viscoelasticity, while an 'Ideal Solid' has a non-zero shear modulus and can be defined by models like elasticity and plasticity. The conversation also touches on the historical context of these terms and the potential need for more rigorous terminology to describe solid materials, particularly in relation to their phase states and behaviors.

PREREQUISITES
  • Understanding of continuum mechanics principles
  • Familiarity with constitutive material models such as elasticity and viscoelasticity
  • Knowledge of phase states of matter, specifically solid and fluid
  • Basic grasp of shear modulus and its significance in material behavior
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  • Research advanced constitutive models in continuum mechanics
  • Explore the implications of shear modulus in material science
  • Investigate alternative terminology in solid mechanics
  • Study the historical evolution of terminology in physics and engineering
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Researchers, engineers, and students in materials science and mechanical engineering who are interested in the precise language and definitions used in continuum mechanics and material behavior.

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A) I understand that an 'Ideal Fluid' Describe Behavior of Matter in Phase States of liquid/gas and sometimes Bulk-Solid:
-continually deform under applied shear stress or external force
-usually zero shear modulus
-behavior can further be specified by Constitutive Material model for that fluid, e.g. viscoelasticity

B) I understand that 'Ideal Solid' Describe Behavior of Matter in Phase States of Solid and sometimes Liquid:
-usually NON-zero shear modulus
-behavior can further be specified by Constitutive Material model for that solid, e.g. elasticity, plasticity, viscoelasticity
-solid-continua and structure elements

C) Historically, I understand the term Solid describes both phase state & matter behavior, whereas Fluid describes matter behavior for variety phase states

Assuming a just perfect enough world, and you would be the one to update the first term in Solid-Mechanics/Dynamics, then what more rigorous term would you update it with?

Would there even be a more general term instead of solid, as in the same spirit as fluid term? Any suggestions?-------------------------------------------------------------------------------------------------------------
PS, by the way term solid is also used when describing e.g. cylinder that is not hollow, but again solid refers to phase state of matter. Is there more rigorous term than 'solid or un-hollow' to describe object that is not hollow?

[Moderator's note: Formatting removed. Please reduce the usage of colored, underlined or bold faced text as this is considered yelling on the internet.]
[Second note, editorial comments removed.]
 
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Do not intend to change terminology instead want thoughts. Please be patient with this question it's something that's been nagging at my brain for awhile. Thanks
 

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