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Related Concept Videos

Unsymmetric Bending01:18

Unsymmetric Bending

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 those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The orientation of the...
Mechanisms of Membrane-bending01:15

Mechanisms of Membrane-bending

The living membranes are flexible due to their fluid mosaic nature; however, their bending into different shapes is an active process regulated by specific lipids and proteins. The membrane bending can be transient as seen in vesicles or stable for a long time as in microvilli. Cells regulate the size, location, and duration of the membrane curvature.
Membrane bending can happen due to intrinsic changes in lipid composition or extrinsic association with different proteins. The proteins involved...
Unsymmetric Bending - Angle of Neutral Axis01:15

Unsymmetric Bending - Angle of Neutral Axis

Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal centroidal axes. The...
Bending of Material: Problem Solving01:09

Bending of Material: Problem Solving

In this lesson, determine the ratio of the maximum bending moments applied to two metal pipes, given that both pipes can withstand a maximum stress of 100 MPa. Both pipes have an outer radius of 1.8 cm. Pipe A has an inner radius of 1.5 cm, and Pipe B has an inner radius of 1 cm. The ratio of the maximum bending moment applied to two metallic pipes, each with a different inner and outer radius, is determined by considering their dimensions. The inner radius of the first pipe is 1.5 cm, and for...
Bending01:10

Bending

Pure bending is a fundamental concept in structural mechanics, essential for understanding how materials deform under symmetrical loads without direct forces. Pure bending occurs when prismatic members, such as beams, are subjected to equal and opposite moments that induce bending. The phenomenon is crucial as it allows for predicting stress distributions without the influence of axial or shear forces.
In pure bending, the bending stress in a beam is calculated based on the bending moment and...
¹H NMR of Conformationally Flexible Molecules: Temporal Resolution00:52

¹H NMR of Conformationally Flexible Molecules: Temporal Resolution

At room temperature, the chair conformer of cyclohexane undergoes rapid ring flipping between two equivalent chair conformers at a rate of approximately 105 times per second. These two chair conformers are in equilibrium. The rapid ring flipping results in the interconversion of the axial proton to an equatorial proton and an equatorial to the axial proton. Such interconversions are too rapid and cannot be detected on the NMR timescale. Hence, the NMR spectrometer cannot distinguish between the...

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Updated: Jun 10, 2026

New Features in Visual Dynamics 3.0
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New Bending Algorithm for Field-Driven Molecular Dynamics.

Dao-Long Chen, Tei-Chen Chen, Yi-Shao Lai

    Nanoscale Research Letters
    |July 31, 2010
    PubMed
    Summary

    A new field-driven bending method is presented, compatible with periodic boundary conditions. This approach offers more physical insights for analyzing nanostructures compared to traditional fixed boundary methods.

    Area of Science:

    • Computational Materials Science
    • Nanomechanics
    • Atomistic Simulations

    Background:

    • Accurate simulation of nanostructures under bending is crucial.
    • Traditional methods often employ fixed boundary conditions, limiting physical realism.
    • Field-driven approaches offer potential for improved simulation accuracy.

    Purpose of the Study:

    • To introduce a novel field-driven bending method.
    • To incorporate periodic boundary conditions in bending analysis.
    • To validate the method against established theories and analyze nanostructures.

    Main Methods:

    • Coordinate transformation between straight and curved coordinates.
    • Application of periodic boundary conditions in axial, bending, and transverse directions.

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    Effect of Bending on the Electrical Characteristics of Flexible Organic Single Crystal-based Field-effect Transistors
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  • Analysis of bulk copper beams and hollow nanowires.

    • Main Results:

    • Bending strain is compatible with beam theory for small deflections.
    • Bending stress in bulk copper beams aligns with theoretical predictions.
    • Observed zigzag atomic stress patterns and 422 common neighbor types in hollow nanowires.

    Conclusions:

    • The novel field-driven bending method provides a generalized SLLOD algorithm.
    • Periodic boundary conditions enhance physical significance over fixed boundary conditions.
    • The method accurately simulates bending in nanostructures and reveals complex atomic behaviors.