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Related Concept Videos

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

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.
Generalized Hooke's Law01:22

Generalized Hooke's Law

The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
General Case of Eccentric Axial Loading01:12

General Case of Eccentric Axial Loading

Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from symmetrical bending, which are essential for designing structures to withstand different loading conditions.
Consider a member subjected to equal and opposite forces that are applied along a line that does not coincide with the member's neutral axis. In unsymmetrical bending,...
Euler's Formula for Pin-Ended Columns01:21

Euler's Formula for Pin-Ended Columns

In structural engineering, the stability of columns under compressive axial loads is a critical consideration, described as buckling. A typical example involves a column PQ, which is pin-connected at both ends and subjected to a centric axial load F applied at one end, with a reaction force of F' = -F at the other end. Here, it is crucial to understand that when an applied load exceeds the critical load, buckling occurs as the system becomes unstable.
To calculate the critical load, envision...
Bending of Members Made of Several Materials01:11

Bending of Members Made of Several Materials

In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...

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Related Experiment Video

Updated: Jun 25, 2026

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

Anisotropic colloids through non-trivial buckling.

C Quilliet1, C Zoldesi, C Riera

  • 1Laboratoire de Spectrométrie Physique, CNRS UMR 5588 and Université Joseph Fourier, 140 avenue de la Physique, 38402 Saint-Martin d'Hères Cedex, France. Catherine.Quilliet@ujf-grenoble.fr

The European Physical Journal. E, Soft Matter
|February 21, 2009
PubMed
Summary

Colloidal particles with oil-filled shells buckle in ethanol-water mixtures. This buckling, driven by core dissolution, forms single depressions (axisymmetric or polygonal) that can be modeled using shell elasticity theory.

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Last Updated: Jun 25, 2026

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
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Published on: May 20, 2014

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Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

Area of Science:

  • Materials Science
  • Soft Matter Physics
  • Colloid Science

Background:

  • Colloidal particles are crucial in various applications, but their structural stability under changing environmental conditions is not fully understood.
  • Thin-shelled microstructures are susceptible to mechanical instabilities like buckling.
  • Emulsion templating offers a route to synthesize complex colloidal structures.

Purpose of the Study:

  • To investigate the buckling behavior of oil-filled colloidal shells.
  • To understand the influence of core dissolution on shell morphology.
  • To develop theoretical and numerical models for predicting buckling phenomena.

Main Methods:

  • Experimental synthesis of oil-filled thin shells using emulsion templating.
  • Observation of buckling in ethanol-water mixtures.
  • Theoretical analysis based on spherical thin shell models.
  • Numerical simulations of shell deformation under external pressure.

Main Results:

  • Oil-filled shells exhibit buckling in ethanol-water mixtures due to core dissolution.
  • Buckling results in single-depression conformations, which can be axisymmetric or polygonal.
  • The observed conformations are accurately reproduced by theoretical and numerical models.

Conclusions:

  • Core dissolution is a key mechanism driving buckling in these colloidal shells.
  • The geometry of the resulting depressions is dependent on the shell's intrinsic features.
  • A continuum mechanics model incorporating bending and stretching elasticity effectively describes the buckling behavior.