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Related Concept Videos

Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

194
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...
194
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

167
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...
167
Plastic Deformations01:14

Plastic Deformations

186
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...
186
Residual Stresses in Bending01:18

Residual Stresses in Bending

316
In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...
316
Distribution of Stresses in a Narrow Rectangular Beam01:11

Distribution of Stresses in a Narrow Rectangular Beam

265
In studying beam stress distribution, examining an elemental section is essential. To determine the average shearing stress on this face, the calculated shear is divided by the surface area. Importantly, shearing stresses on the beam's transverse and horizontal planes mirror each other, indicating a consistent stress distribution along the upper region of the beam. Notably, shearing stresses are absent at the beam's upper and lower surfaces due to the absence of applied forces in these...
265
Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

307
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...
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Related Experiment Video

Updated: Oct 16, 2025

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
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Numerical Prediction of Local Instability in Double Corrugated Profiles.

Artur Piekarczuk1, Przemysław Więch1

  • 1Instytut Techniki Budowlanej Filtrowa 1, 00-611 Warsaw, Poland.

Materials (Basel, Switzerland)
|October 23, 2021
PubMed
Summary

This study introduces a new method to predict local instabilities in K-span structures. The approach uses a validated finite element model (FEM) to analyze complex geometries, improving structural safety predictions.

Keywords:
FEMbucklingdouble-corrugated profilevalidation

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Area of Science:

  • Structural engineering
  • Mechanical engineering
  • Materials science

Background:

  • Double-corrugated structures, like those in the K-span system, feature deep transverse embossing.
  • This complex geometry challenges traditional plastic failure theories for predicting local instabilities.

Purpose of the Study:

  • To present an original method for predicting local instabilities in double-corrugated structures.
  • To address the limitations of classical theories when applied to complex K-span profiles.

Main Methods:

  • Development of a hierarchical, validated finite element model (FEM).
  • Implementation of geometrically and materially nonlinear analysis for numerical calculations.
  • Analysis of nonlinear equilibrium paths for eccentrically compressed shell elements.

Main Results:

  • Determination of reference equilibrium paths for the analyzed shell element.
  • Development of a method to predict the onset and cessation of local instabilities.
  • Identification of instabilities within the elastoplastic pre-buckling range.

Conclusions:

  • The proposed method accurately predicts local instabilities in double-corrugated structures.
  • This advancement is crucial for enhancing the safety and reliability of K-span systems.
  • The FEM-based approach overcomes limitations of classical theories for complex structural geometries.