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Related Concept Videos

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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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As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
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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.
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Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
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The study of solid circular shafts under stress shows that within the elastic limit, stress increases directly to the distance from the shaft's center. This relationship holds until the shaft reaches a critical point of stress, beyond which it begins to yield, marking the transition from elastic to plastic deformation. At this crucial juncture, the maximum torque the shaft can endure without permanent deformation is determined, signifying the limit of its elastic behavior.
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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...
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Magneto-active elastic shells with tunable buckling strength.

Dong Yan1, Matteo Pezzulla1, Lilian Cruveiller1,2

  • 1Flexible Structures Laboratory, Institute of Mechanical Engineering, École Polytechnique Fédérale de Lausanne (EPFL), Vaud, Switzerland.

Nature Communications
|May 15, 2021
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Summary
This summary is machine-generated.

Scientists dynamically tuned shell buckling strength using magnetic fields. This breakthrough offers new possibilities for controlling elastic instability in materials and structures.

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Area of Science:

  • Mechanics
  • Materials Science
  • Physics

Background:

  • Shell buckling is a critical elastic instability in biological and engineered structures.
  • Predicting buckling loads is challenging due to sensitivity to imperfections.
  • Traditional approaches view buckling as a failure to be avoided.

Purpose of the Study:

  • To present a novel mechanism for dynamically tuning shell buckling strength.
  • To investigate the interplay between mechanics and magnetism in elastic shells.
  • To develop a predictive model for magneto-elastic buckling.

Main Methods:

  • Experimental investigation of pressurized spherical shells made of hard-magnetic elastomers.
  • Application of magnetic actuation to control buckling pressure.
  • Development of a theoretical model for thin magnetic elastic shells.

Main Results:

  • Demonstrated tunable buckling pressure in magnetic elastic shells via magnetic actuation.
  • Developed a theoretical model that accurately predicts experimental observations.
  • Identified a dimensionless magneto-elastic buckling number as the key governing parameter.

Conclusions:

  • A robust mechanism for dynamically controlling shell buckling strength has been established.
  • The coupling between mechanics and magnetism provides a powerful tool for engineering elastic instabilities.
  • The magneto-elastic buckling number offers a unified framework for understanding and predicting shell buckling behavior.