Understanding the Strain Tensor Component: Physical Meaning of d'_{ijk}E_{k}

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SUMMARY

The discussion centers on the strain tensor equation e_{ij} = \alpha_{ij}\DeltaT + d'_{ijk}E_{k} + Q'_{ijk}H_{k} + s_{ijkl} Sigma_{kl}, specifically focusing on the term d'_{ijk}E_{k}. This component is identified as the electrostrictive effect, which describes how materials deform in response to an electric field (E). The user seeks clarification on the physical meaning of this term, emphasizing the importance of understanding the variables involved in the equation.

PREREQUISITES
  • Understanding of strain tensor concepts in continuum mechanics
  • Familiarity with electrostriction and its implications in material science
  • Knowledge of thermodynamics, specifically the relationship between temperature changes and material properties
  • Basic grasp of tensor notation and manipulation
NEXT STEPS
  • Research the principles of electrostriction in materials science
  • Study the derivation and applications of the strain tensor in continuum mechanics
  • Explore the relationship between electric fields and material deformation
  • Learn about the role of temperature changes in material behavior, particularly in relation to the term α_{ij}ΔT
USEFUL FOR

Material scientists, mechanical engineers, and physicists interested in the effects of electric fields on material deformation and the fundamentals of strain tensors.

sol66
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There's this equation e_{ij} = \alpha_{ij}\DeltaT + d'_{ijk}E_{k} + Q'_{ijk}H_{k} + s_{ijkl} Sigma_{kl}, which is the strain tensor I'm asking about. All I want to know is what the component d'_{ijk}E_{k} is called and what its physical meaning is. Thanks in advance
 
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It would be nice if you could define your variable, if possible, but since \bold{E} typically refers to an electric field, I'm guessing it's http://en.wikipedia.org/wiki/Electrostriction" ).
 
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Thanks, I'm sorry but I would define the variables if I could. The variables weren't defined for me either.
 

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