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Related Concept Videos

Yield Criteria for Ductile Materials under Plane Stress01:25

Yield Criteria for Ductile Materials under Plane Stress

313
In designing structural elements and machine parts using ductile materials, it is crucial to ensure that these components withstand applied stresses without yielding. Yielding is initially determined through a tensile test, which evaluates the material's response to uniaxial stress. However, tensile stress is insufficient when components face biaxial or plane stress conditions This condition requires advanced criteria to predict failure.
The Maximum Shearing Stress Criterion, also known as...
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Stress-Strain Diagram - Brittle Materials01:24

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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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Principal Stresses: Problem Solving01:15

Principal Stresses: Problem Solving

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When analyzing two planes intersecting at right angles under the influence of shearing, tensile, and compressive stresses, it is essential to identify principal planes, maximum shearing stress, and principal stresses. To find the principal planes, apply a formula that equates them to twice the shearing stress divided by the difference between tensile and compressive stresses.
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Stress Concentrations01:24

Stress Concentrations

497
Stress concentration is when stress intensifies near discontinuities such as holes or abrupt cross-sectional changes in a structural member. This localized stress can often surpass the average stress within the member. The stress distribution in flat bars, either with a circular hole or varying widths connected by fillets, can be determined experimentally using a photoelastic method. The results are based on ratios of geometric parameters like the ratio of the hole's radius to the smaller...
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Stress Concentrations01:13

Stress Concentrations

448
The concept of stress concentration is crucial for understanding how materials respond under bending stresses, particularly when there are irregularities or discontinuities in the material's geometry. Normally, stress in a symmetric member subjected to pure bending is assumed to be uniformly distributed across the entire cross-section. However, this assumption does not hold when there are variations in the cross-sectional geometry or the presence of notches and holes.
The stress...
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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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Updated: Nov 22, 2025

Determining the Mechanical Strength of Ultra-Fine-Grained Metals
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A Plane Stress Failure Criterion for Inorganically-Bound Core Materials.

Philipp Lechner1, Christoph Hartmann1, Florian Ettemeyer2

  • 1Chair of Metal Forming and Casting, Technical University of Munich, Walther-Meissner-Strasse 4, 85748 Garching, Germany.

Materials (Basel, Switzerland)
|January 9, 2021
PubMed
Summary
This summary is machine-generated.

Researchers developed new tests and a material model to predict the failure of inorganic core materials used in foundries. This enables finite-element simulations for optimizing core design and handling processes.

Keywords:
Mohr-CoulombWeibullfoundry core materialsfoundry coresfracture strengthhydrostatic pressuretri-axial testingwater-glass

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Foundry Technology

Background:

  • Inorganic-bound core materials are crucial in foundries but lack validated mechanical failure criteria.
  • Existing limitations hinder the optimization of core geometries using finite-element simulations for processes like robotic handling and decoring.

Purpose of the Study:

  • To develop novel testing methods for investigating the fracture behavior of inorganic-bound core materials.
  • To establish a validated mechanical failure criterion for finite-element analysis of core geometries.

Main Methods:

  • Development of novel testing methods to induce multi-axial stress states in specimens.
  • Validation of failure criteria in principal stress space for cohesive frictional materials, specifically sand cores.
  • Application of a Mohr-Coulomb model and integration with Weakest-Link theory to create a consistent mechanical material model.

Main Results:

  • The Mohr-Coulomb model accurately describes the fracture of inorganic core materials under plane stress conditions.
  • A novel material model combining Mohr-Coulomb and Weakest-Link theories was developed.
  • The new model successfully predicted the fracture force in a Brazilian test using finite element method (FEM) stress fields.

Conclusions:

  • The developed material model provides a validated failure criterion for inorganically-bound core materials.
  • This advancement enables accurate finite-element simulations for optimizing foundry core design and handling.
  • The findings are applicable to cohesive frictional materials and specifically sand cores.