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Stress-Strain Diagram - Ductile Materials01:24

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The stress-strain relationship in ductile materials such as structural steel or aluminium is intricate and progresses through several stages. When a specimen is loaded, it initially exhibits a linear length increase, depicted by a steep straight line on the stress-strain diagram. It indicates the material is elastically deforming and will return to its original shape once unloaded. However, when a critical stress value is reached, plastic deformation begins. This stage sees substantial...
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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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Brittle materials, including glass, cast iron, and stone, exhibit unique characteristics. They fracture without considerable change in their elongation rate, indicating that their breaking and ultimate strength are equivalent. Such materials also show lower strain levels at the point of rupture. The failure in brittle materials predominantly results from normal stresses, as evidenced by the rupture created along a surface perpendicular to the applied load. These materials do not display...
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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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Normal strain under axial loading is an important concept in the field of mechanics of materials. Axial loading implies the application of a force along the axis of a material, like a column or bar. This force can either compress or stretch the material. In the context of axial loading, normal strain is the deformation experienced by the material in the direction of the loading force. It's calculated as the change in length divided by the original length of the material. This unitless ratio...
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Effect of Strain Rate Sensitivity on Fracture of Laminated Rings under Dynamic Compressive Loading.

Amir Partovi1, Mohammad Mehdi Shahzamanian2, Peidong Wu1

  • 1Department of Mechanical Engineering, McMaster University, Hamilton, ON L8S 4L7, Canada.

Materials (Basel, Switzerland)
|January 21, 2022
PubMed
Summary

Cladding layers significantly impact compressed ring ductility, primarily influenced by outer wall material behavior. Increasing layers and specific barreling reduce fracture strain, while narrower rings and noise diffusion patterns aid crack propagation simulation.

Keywords:
claddingfinite element method (FEM)ring compression teststrain rate sensitivitytopological arrangement

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Computational Mechanics

Background:

  • Understanding material behavior under compression is crucial for engineering applications.
  • Cladding layers can alter the mechanical properties of core materials.
  • Rate-sensitive materials and their fracture mechanics require detailed investigation.

Purpose of the Study:

  • To numerically investigate the effects of cladding layers on compressed ring ductility and fracture strain.
  • To evaluate the influence of material properties, ring geometry, and bonding on fracture behavior.
  • To explore optimal simulation strategies for crack propagation in layered materials.

Main Methods:

  • Finite Element Method (FEM) simulations were employed.
  • The Johnson-Cook (J-C) material model was utilized to capture rate-sensitive behavior.
  • Parametric studies were conducted on cladding layer configurations, ring shape, and bonding types.

Main Results:

  • Ring ductility is predominantly governed by the outer wall material, with diminishing influence as layer count increases.
  • Increased outer wall barreling and decreased inner wall barreling correlate with higher fracture strain.
  • Narrower rings require less force per unit volume for fracture.
  • Noise diffusion patterns enhance simulation accuracy for crack propagation in compressed rings and functionally graded materials (FGMs).
  • Delamination is linked to layer thickness and can occur even with perfect bonding due to material property disparities.

Conclusions:

  • The outer wall material behavior is critical for compressed ring ductility.
  • Fracture strain is sensitive to geometric parameters like barreling and ring shape.
  • Advanced simulation techniques, such as noise diffusion, improve the prediction of crack propagation in complex layered structures.
  • Layer thickness and material property mismatches are key factors in delamination, irrespective of bonding perfection.