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Related Concept Videos

Plastic Deformations01:19

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...
Plastic Deformations01:14

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 Deformation in Circular Shafts01:20

Plastic Deformation in Circular Shafts

When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a permanent alteration or strain in their structure. This concept can be specifically applied to circular shafts, where the deformation leads to a change in its shape. The precise evaluation of this plastic deformation requires understanding the stress distribution within the circular shaft, which is achieved by calculating the maximum shearing stress in...
Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

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...
Plastic Behavior01:21

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.

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Cardiac Muscle-cell Based Actuator and Self-stabilizing Biorobot - PART 1
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Nonlinear geometric effects in mechanical bistable morphing structures.

Zi Chen1, Qiaohang Guo, Carmel Majidi

  • 1Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA. chen.z@seas.wustl.edu

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

Bistable structures, like the Venus flytrap, switch shapes due to nonlinear deformation. Two key parameters govern this shape-shifting behavior in large deformation theory for plates and shells.

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Area of Science:

  • Mechanics of Materials
  • Nonlinear Dynamics
  • Structural Engineering

Background:

  • Bistable structures exhibit shape-switching capabilities, crucial for adaptive materials and devices.
  • Modeling large deformation in shells is complex, with mechanical and geometric nonlinearities poorly understood.
  • Examples include the Venus flytrap and slap bracelets, showcasing bistability in nature and engineered systems.

Purpose of the Study:

  • To elucidate the roles of mechanical and nonlinear geometric effects on the bistability of structures.
  • To identify the key parameters controlling bistability in large deformation scenarios.
  • To extend the existing theory of large deformation for plates and shells.

Main Methods:

  • Theoretical analysis of nonlinear deformation behavior.
  • Tabletop experiments to validate theoretical predictions.
  • Classification of bistability conditions based on derived parameters.

Main Results:

  • Identified two critical dimensionless parameters that govern bistability.
  • Developed a framework to classify conditions leading to bistability.
  • Extended the foundational theory of large deformation for plates and shells.

Conclusions:

  • Bistability in large deformation structures is controllable by two dimensionless parameters.
  • The study provides a theoretical and experimental basis for designing bistable systems.
  • Advances understanding of nonlinear mechanics in shell structures.