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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.
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Residual Stresses in Bending

Residual Stresses in Bending

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...

Plastic Behavior

Plastic Behavior

A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and reloaded.

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.

Euler's Formula for Pin-Ended Columns

Euler's Formula for Pin-Ended Columns

In structural engineering, the stability of columns under compressive axial loads is a critical consideration, described as buckling. A typical example involves a column PQ, which is pin-connected at both ends and subjected to a centric axial load F applied at one end, with a reaction force of F' = -F at the other end. Here, it is crucial to understand that when an applied load exceeds the critical load, buckling occurs as the system becomes unstable.
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Plastic Deformations

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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 original...

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Related Experiment Video

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Automated Compression Testing of the Ocular Lens

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Published on: April 5, 2024

Buckling-induced encapsulation of structured elastic shells under pressure.

Jongmin Shim¹, Claude Perdigou, Elizabeth R Chen

¹School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 021383, USA.

Proceedings of the National Academy of Sciences of the United States of America

|March 28, 2012

Summary

Researchers developed Buckliballs, spherical structures with voids that collapse under pressure. This reversible buckling mechanism enables significant volume reduction for potential encapsulation applications.

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Area of Science:

Materials Science
Mechanical Engineering
Structural Mechanics

Background:

Continuum shell structures offer unique mechanical properties.
Buckling instabilities can induce significant structural transformations.
Controlled volume reduction is desirable for encapsulation technologies.

Purpose of the Study:

To introduce and characterize a novel class of shell structures, the Buckliball.
To investigate the mechanics of pressure-induced buckling and structural transformation in these spheres.
To explore the potential of Buckliballs for reversible encapsulation.

Main Methods:

Precision desktop-scale experiments.
Finite element simulations.
Theoretical scaling analyses.

Main Results:

Identified five specific configurations for Buckliball void patterns.
Observed cooperative buckling cascades in the shell structure below a critical pressure.
Demonstrated up to 54% volume reduction while maintaining spherical geometry.
Achieved excellent agreement between experimental, simulation, and analytical results.

Conclusions:

Buckliballs exhibit a reversible, pressure-induced folding mechanism.
The observed mechanical instability enables significant volume changes for encapsulation.
This technology holds promise for applications across various length scales.