Relationship of bulk modulus and fractional volume change

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SUMMARY

The discussion centers on the relationship between bulk modulus and fractional volume change. A change in bulk modulus by 5% does not directly translate to a fractional volume change through simple multiplication or division. Instead, the bulk modulus is a material property that can be influenced by external factors such as temperature, and the fractional volume change is contingent on the specific stress applied to the material. Understanding the context of the materials involved is crucial for accurate calculations.

PREREQUISITES
  • Understanding of bulk modulus as a material property
  • Basic knowledge of stress and strain concepts in materials science
  • Familiarity with the principles of elasticity
  • Concept of fractional volume change in response to applied stress
NEXT STEPS
  • Research the mathematical relationship between bulk modulus and volume change under stress
  • Study the effects of temperature on bulk modulus in various materials
  • Explore case studies involving different materials with varying bulk moduli
  • Learn about the principles of elasticity and their applications in engineering
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Materials scientists, mechanical engineers, and students studying material properties and elasticity will benefit from this discussion.

ralden
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So my question is, if the bulk modulus change by 5%, what is the fractional volume change value? is it times 0.05 or divided by 0.05? or the fractional volume change still the same?
 
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ralden said:
So my question is, if the bulk modulus change by 5%, what is the fractional volume change value? is it times 0.05 or divided by 0.05? or the fractional volume change still the same?
I can't make sense of the question. Bulk modulus is a property of the substance. You could change its bulk modulus by, say, heating it, but how is that connected with a fractional change in the volune of a sample?

Perhaps you have samples of two substances with different bulk moduli, and you know the fractional volume change in one due to some stress, and wish to deduce the fractional change in volume of the other sample subjected to the same stress?
 

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