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Thermal Strain

Thermal Strain

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...

Thermal expansion and Thermal stress: Problem Solving

Thermal expansion and Thermal stress: Problem Solving

San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55 °C.

Thermal Expansion

Thermal Expansion

The expansion of alcohol in a thermometer is one of many commonly encountered examples of thermal expansion, which is the change in size or volume of a given system as its temperature changes. The most visible example is the expansion of hot air. When air is heated, it expands and becomes less dense than the surrounding air, which then exerts an upward force on the hot air to, for example, make steam and smoke rise, and hot air balloons float. The same behavior happens in all liquids and gases,...

Thermal Stress

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If the temperature of an object is changed while it is prevented from expanding or contracting, the object is subjected to stress. The stress is compressive if the object expands in the absence of constraint and tensile if it contracts. This stress resulting from temperature change is known as thermal stress. It can be quite large and can cause damage. To avoid this stress, engineers may design components so they can expand and contract freely. For instance, on highways, gaps are deliberately...

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The thermal expansion of a metal rod shows the application of the Chain Rule when one physical quantity depends on another that varies with time. As the rod is heated, its length changes according to linear thermal expansion, while the temperature of the system varies quadratically with time.For linear thermal expansion, the length L of the rod depends on temperature T such that the rate of change of length with respect to temperature is constant:where L0 = 2 m is the initial length of the rod,...

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Related Experiment Video

Updated: Jul 13, 2026

Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation

Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation

Published on: May 2, 2016

Anomalous thermal expansion in alpha-titanium.

P Souvatzis¹, O Eriksson, M I Katsnelson

¹Department of Physics, Uppsala University, Uppsala, Sweden.

Physical Review Letters

|August 7, 2007

Summary

This study explains titanium

Area of Science:

Materials Science
Condensed Matter Physics
Solid State Physics

Background:

Anisotropic thermal expansion is a key property of hexagonal close-packed (hcp) metals.
Understanding thermal expansion in titanium (Ti) is crucial for its applications.

Purpose of the Study:

To provide a quantitative theoretical explanation for the anisotropic thermal expansion of hcp Ti at low temperatures.
To identify the underlying physical mechanisms responsible for the observed thermal expansion behavior.

Main Methods:

Utilized a parameter-free theoretical approach.
Included both electron and phonon contributions to the free energy.
Calculated the thermal expansion coefficients.

Main Results:

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Growth and Electrostatic/chemical Properties of Metal/LaAlO3/SrTiO3 Heterostructures

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Last Updated: Jul 13, 2026

Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation

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Co-localizing Kelvin Probe Force Microscopy with Other Microscopies and Spectroscopies: Selected Applications in Corrosion Characterization of Alloys

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Growth and Electrostatic/chemical Properties of Metal/LaAlO3/SrTiO3 Heterostructures

Growth and Electrostatic/chemical Properties of Metal/LaAlO₃/SrTiO₃ Heterostructures

Published on: February 8, 2018

Successfully reproduced the negative thermal expansion along the c-axis for Ti below approximately 170 K.
The theoretical predictions align well with experimental observations.
Identified a saddle point van Hove singularity near the Fermi level as the primary cause.

Conclusions:

The study offers a comprehensive theoretical framework for understanding anisotropic thermal expansion in hcp Ti.
The van Hove singularity near the Fermi level is confirmed as the dominant factor driving this phenomenon.
This work provides valuable insights into the low-temperature mechanical behavior of titanium.