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Members Made of Elastoplastic Material

Members Made of Elastoplastic Material

The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...

Plastic Deformations of Members with a Single Plane of Symmetry

Plastic Deformations of Members with a Single Plane of Symmetry

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...

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

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.

Plastic Deformations

Plastic Deformations

It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...

Plastic Deformations

Plastic Deformations

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 original...

Bending of Members Made of Several Materials

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 2, 2026

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers

Published on: October 25, 2017

Normal mode analysis of a model semirigid polymer.

¹Laboratoire de Physique de la Matiere Condensee, CNRS 6622, Nice, France. tenbosch@unice.fr

The Journal of Chemical Physics

|April 12, 2011

Summary

Understanding molecular flexibility in biological polymers like DNA is key. Normal mode analysis offers a way to study polymer dynamics and properties at an atomic level, simplifying complex calculations.

Area of Science:

Biophysics
Polymer Physics
Computational Biology

Background:

Biological polymer function is intrinsically linked to their dynamic and structural properties.
Characterizing molecular flexibility at the atomic level presents significant challenges.
Understanding these properties is crucial for fields ranging from molecular biology to materials science.

Purpose of the Study:

To introduce normal mode analysis as a method for characterizing the equilibrium and non-equilibrium properties of complex polymer systems.
To demonstrate how this analysis can be applied to systems like DNA in solution.
To simplify calculations by exploiting a weak coupling between chain deformation and local orientation.

Main Methods:

Normal mode analysis applied to biological polymers.

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Modeling of DNA in solution.

Calculation of equilibrium and non-equilibrium properties.

Exploitation of weak coupling approximations.

Main Results:

A simplified approach to calculating polymer properties using normal mode analysis.
The analysis successfully describes equilibrium and non-equilibrium properties of DNA.
A proposed crossover in normal mode behavior based on polymer stiffness and length.

Conclusions:

Normal mode analysis provides a powerful tool for investigating atomic-level molecular flexibility in biological polymers.
The method simplifies calculations for complex systems like DNA.
A transition in normal mode behavior is observed, offering insights into polymer conformational changes.