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Deformation of Member under Multiple Loadings01:11

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When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
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Normal Strain under Axial Loading01:20

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Normal strain under axial loading is an important concept in the field of mechanics of materials. Axial loading implies the application of a force along the axis of a material, like a column or bar. This force can either compress or stretch the material. In the context of axial loading, normal strain is the deformation experienced by the material in the direction of the loading force. It's calculated as the change in length divided by the original length of the material. This unitless ratio...
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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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Chondrocytes form a temporary cartilaginous model by dividing and secreting a thick gel-like extracellular matrix. Once the chondrocytes undergo programmed cell death, osteoblasts enter the site of the cartilaginous model. The process of replacing the temporary cartilaginous model with bone in an ordered manner is called endochondral ossification. In endochondral ossification, not all of the cartilage is replaced by bone tissue. Some cartilage that performs a protective and supportive function...
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Plastic deformation represents a fundamental concept in materials science, which explains the irreversible change in the shape of a material when it experiences stress beyond its elastic capability. This phenomenon is important in structural engineering, especially in designing and analyzing cantilever beams—structures that are securely fixed at one end and bear loads at the opposite end. When these beams are subjected to loads within their elastic range, they will return to their...
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Updated: Dec 8, 2025

Real-time Visualization and Analysis of Chondrocyte Injury Due to Mechanical Loading in Fully Intact Murine Cartilage Explants
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Chondrocyte Deformations Under Mild Dynamic Loading Conditions.

Amin Komeili1,2, Baaba Sekyiwaa Otoo1, Ziad Abusara1,3

  • 1Human Performance Laboratory, Faculty of Kinesiology, The University of Calgary, 2500 University Drive NW, Calgary, AB, T2N 1N4, Canada.

Annals of Biomedical Engineering
|September 22, 2020
PubMed
Summary
This summary is machine-generated.

Dynamic compression of chondrocytes in articular cartilage causes significant cell deformation, differing from static conditions. This study developed a method to observe these real-time changes during joint loading.

Keywords:
Articular cartilageCartilage mechanicsChondrocyte deformationDynamic loading conditionJointsOsteoarthritisVolume change

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Area of Science:

  • Biomechanical Engineering
  • Cellular Mechanobiology
  • Articular Cartilage Research

Background:

  • Chondrocyte deformation is key to cell mechanotransduction and understanding articular cartilage mechanobiology.
  • Research on chondrocyte deformation primarily focuses on static conditions, with limited data on dynamic loading.
  • Dynamic loading is crucial as it reflects everyday joint function and influences chondrocyte signaling.

Purpose of the Study:

  • To develop an experimental technique for measuring in situ chondrocyte deformations under dynamic compression.
  • To test the hypothesis that dynamic chondrocyte deformations differ significantly from static conditions.

Main Methods:

  • Developed a novel experimental setup to apply dynamic compression to articular cartilage.
  • Reconstructed real-time chondrocyte geometry during ramp compressions (10-20% strain at 0.2% s⁻¹) followed by stress relaxation.
  • Analyzed chondrocyte deformation and volume changes throughout the compression and relaxation phases.

Main Results:

  • Dynamic chondrocyte deformations were non-linear with nominal strain, showing large changes early in compression and smaller changes later.
  • Early compression (≤10%) led to chondrocyte volume loss, while later compression (>10%) caused deformation with minimal volume change.
  • Cell shape and volume stabilized within the first minute of stress relaxation, despite continued force decrease for 5 minutes.

Conclusions:

  • Dynamic compression significantly alters chondrocyte deformation compared to static loading.
  • The developed technique provides insights into the mechanobiology of articular cartilage under physiological loading.
  • Understanding dynamic chondrocyte behavior is essential for comprehending cartilage health and disease.