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Related Concept Videos

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Calorimetry

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When objects at different temperatures are placed in contact with each other but isolated from everything else, they attain thermal equilibrium. A container that prevents heat transfer in or out is called a calorimeter, and the use of a calorimeter to make measurements is called calorimetry. Generally, these measurements involve heat or specific heat capacity. The term "calorimetry problem" is used for any problem where the specified objects are thermally isolated from their...
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Thermal strain is a concept that arises when we consider how temperature changes affect structures. Unlike the conventional assumption that structures remain constant under load, real-world scenarios often involve temperature fluctuations that can significantly impact these structures. Consider a homogeneous rod with a uniform cross-section resting freely on a flat horizontal surface. If the rod's temperature increases, the rod elongates. This elongation is proportional to the temperature...
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When a substance—isolated from its environment—is subjected to heat changes, corresponding changes in temperature and phase of the substance is observed; this is graphically represented by heating and cooling curves.
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In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
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Heat and temperature are essential concepts for everyone every day. The study of heat and temperature is part of an area of physics known as thermodynamics. It is not always easy to distinguish heat and temperature.
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Characterization of Thermal Transport in One-dimensional Solid Materials
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Homogenization of Thermal Properties in Metaplates.

David Faraci1, Claudia Comi1

  • 1Department of Civil and Environemental Engineering, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, Italy.

Materials (Basel, Switzerland)
|September 28, 2024
PubMed
Summary

Researchers developed a cost-effective method to predict the thermoelastic behavior of 3D metamaterials. This allows programming unique thermal expansion coefficients, including negative values, for metaplate applications.

Keywords:
asymptotic homogenizationhomogenizationmetamaterialmetaplatethermal expansionthermoelasticity

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Solid Mechanics

Background:

  • Three-dimensional metamaterials with 2D in-plane periodicity display unique thermoelastic properties.
  • Thermal expansion coefficients can be engineered, even to negative values, through unit cell design.
  • In-plane heterogeneity leads to thermal-induced deflection.

Purpose of the Study:

  • To develop a predictive model for the thermoelastic behavior of 3D metamaterials.
  • To enable the design of metamaterials with programmable thermal expansion for specific applications.
  • To provide cost-effective methods for predicting thermoelastic response.

Main Methods:

  • Asymptotic homogenization technique applied to thin metamaterials.
  • Modeling metamaterials as equivalent homogeneous plates under the small thickness assumption.
  • Derivation of explicit expressions for effective thermal properties.

Main Results:

  • The study provides explicit formulas for effective thermal properties.
  • The method allows for accurate prediction of thermoelastic response in metaplates.
  • The approach is validated for metamaterials with small thickness relative to in-plane dimensions.

Conclusions:

  • Asymptotic homogenization offers an efficient approach to characterize thermoelasticity in 3D metamaterials.
  • Engineered thermal expansion coefficients can be precisely predicted.
  • This work facilitates the practical design and application of advanced metamaterials.