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Temperature Dependent Deformation01:12

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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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Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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Crystal Field Theory
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When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
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Colossal Negative Area Compressibility in the Ferroelastic Framework Cu(tcm).

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  • 1Department of Materials, Imperial College London, Royal School of Mines, Exhibition Road, London SW7 2AZ, U.K.

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|May 14, 2025
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Copper(I) tricyanomethanide (Cu(tcm)) exhibits the strongest negative area compressibility (NAC) ever observed. This flexible framework material shows potential for advanced pressure sensors and shock-absorbing devices.

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Area of Science:

  • Materials Science
  • Crystallography
  • Mechanics of Materials

Background:

  • Copper(I) tricyanomethanide (Cu(tcm)) is a flexible framework material.
  • Negative Area Compressibility (NAC) is a rare phenomenon with potential applications in sensors and actuators.

Purpose of the Study:

  • To investigate the pressure-induced phase transitions and compressibility of Cu(tcm).
  • To elucidate the mechanisms behind the observed negative area compressibility (NAC) and negative linear compressibility (NLC) in Cu(tcm).

Main Methods:

  • Single-crystal X-ray diffraction under hydrostatic pressure.
  • Analysis of structural changes and compressibility across different pressure ranges.

Main Results:

  • Cu(tcm) undergoes two phase transitions: tetragonal to orthorhombic at 0.12(3) GPa, and orthorhombic to monoclinic at 0.93(8) GPa.
  • The orthorhombic phase exhibits strong NAC (-108(14) TPa⁻¹) due to framework hinge motion.
  • The monoclinic phase shows slight NLC along the a-axis and zero area compressibility in the a-c plane, attributed to dampened layer rippling.

Conclusions:

  • Cu(tcm) displays distinct NAC and NLC behaviors linked to its structural phase transitions.
  • Understanding these mechanisms provides insights into NAC phenomena in flexible framework materials.
  • The unique compressibility properties of Cu(tcm) suggest potential for novel device applications.