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Related Concept Videos

Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

161
When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
161
Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

201
Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
201
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

86
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...
86
Plastic Deformation in Circular Shafts01:20

Plastic Deformation in Circular Shafts

178
When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a permanent alteration or strain in their structure. This concept can be specifically applied to circular shafts, where the deformation leads to a change in its shape. The precise evaluation of this plastic deformation requires understanding the stress distribution within the circular shaft, which is achieved by calculating the maximum shearing stress in...
178
Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

151
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.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
151
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

241
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.
241

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Updated: May 27, 2025

Biaxial Mechanical Characterizations of Atrioventricular Heart Valves
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Cell Deformation Signatures along the Apical-Basal Axis: A 3D Continuum Mechanics Shell Model.

Jairo M Rojas, Mayisha Z Nakib, Vivian W Tang

    Arxiv
    |February 20, 2025
    PubMed
    Summary
    This summary is machine-generated.

    Mechanical models of cell tissues predict tissue stiffness based on cell perimeter. However, experiments show rigid tissues have cells with long perimeters, suggesting 3D mechanics are crucial for tissue integrity.

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    Area of Science:

    • Cellular mechanics
    • Biophysics
    • Tissue engineering

    Background:

    • Two-dimensional (2D) models link tissue mechanics to cell perimeter.
    • Existing models fail to explain experimental data for MDCK epithelial cells.

    Purpose of the Study:

    • Investigate the discrepancy between 2D models and experimental data.
    • Develop a 3D mechanical model for confluent epithelial tissues.
    • Understand the role of apical-basal mechanics in tissue rigidity.

    Main Methods:

    • Developed a continuum mechanics model of cells as elastic cylindrical shells.
    • Incorporated boundary conditions for cell confinement and actomyosin contractility.
    • Used deconvolution microscopy to analyze cell shape in the apical-basal direction.

    Main Results:

    • The 3D model predicts cell cross-sections along the apical-basal axis.
    • Experimental data confirm systematic changes in cell shape in the apical-basal direction.
    • Discrepancy between 2D models and rigid tissue experiments explained by 3D effects.

    Conclusions:

    • 3D mechanics, including apical-basal deformations and basal membrane stress fibers, are critical for tissue mechanical state.
    • Epithelial tissues are more robust against loss of rigidity than previously thought.
    • The developed model provides detailed subcellular deformation insights.