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Unsymmetric Bending01:18

Unsymmetric Bending

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Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
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Deformations in a Symmetric Member in Bending01:18

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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.
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Tetrahedral Complexes
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Angle of Twist: Problem Solving01:13

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An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the torque...
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A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...
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Crystallographic Point Groups01:29

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Crystallographic point groups represent the various symmetry operations that can occur within crystals. They are unique in that at least one point will always remain unchanged during these actions. For instance, consider the triclinic system. This system, devoid of any axis or plane of symmetry, aligns with the C1 and Ci point groups.where Cᵢ is characterized solely by a center of inversion.Contrastingly, the monoclinic system introduces an element of symmetry. This system with one plane...
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Twisting cracks in Bouligand structures.

Nobphadon Suksangpanya1, Nicholas A Yaraghi2, David Kisailus3

  • 1Lyles School of Civil Engineering, Purdue University, West Lafayette, IN 47907, USA.

Journal of the Mechanical Behavior of Biomedical Materials
|June 21, 2017
PubMed
Summary
This summary is machine-generated.

The Bouligand structure in mantis shrimp dactyl clubs enables damage tolerance through microcrack formation. This study models how twisting cracks in this structure dissipate energy, enhancing toughness.

Keywords:
Bouligand StructuresFracture MechanicsMantis ShrimpTougheningTwisting Cracks

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Area of Science:

  • Biomimetics and Materials Science
  • Mechanics of Biological Materials
  • Fracture Mechanics

Background:

  • The Bouligand structure, a helicoidal arrangement of fiber layers, is prevalent in damage-resistant biological materials.
  • The mantis shrimp (Odontodactylus Scyllarus) utilizes this structure in its dactyl club for exceptional mechanical performance and prey capture.
  • This structure's ability to form nested microcracks contributes to its remarkable damage tolerance and energy dissipation.

Purpose of the Study:

  • To develop a theoretical model providing insights into stress intensity factors at the crack front of twisting cracks within Bouligand structures.
  • To investigate the relationship between local fracture mode changes and energy dissipation mechanisms in these biological materials.

Main Methods:

  • Development of a theoretical model to analyze local stress intensity factors at the crack front.
  • Quantification of the local toughening factor based on changes in fracture mode and energy release rate.
  • Ancillary 3D simulations using the J-integral to validate theoretical energy release rate and stress intensity factor values.

Main Results:

  • Changes in local fracture mode at the crack front reduce the local strain energy release rate.
  • This reduction increases the energy required for crack propagation, quantified by a local toughening factor.
  • 3D simulations validated the theoretical model's predictions for energy release rates and stress intensity factors.

Conclusions:

  • The Bouligand structure's microarchitecture facilitates significant energy dissipation through controlled microcrack formation and propagation.
  • The theoretical model and simulations confirm that altered fracture modes enhance the material's resistance to catastrophic failure.
  • Findings offer insights into designing damage-tolerant synthetic materials inspired by natural Bouligand structures.