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Yield Criteria for Ductile Materials under Plane Stress01:25

Yield Criteria for Ductile Materials under Plane Stress

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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.
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Fatigue occurs when materials rupture under repeated or fluctuating loads, even at stress levels far below their static breaking strength. It typically results in brittle failure, even for ductile materials. It is a critical consideration in designing machines and structural components subjected to repetitive or varying loads. The nature of these loadings can range from fluctuating loads like unbalanced pump impellers causing vibrations to repeatedly bending a thin steel rod wire back and forth...
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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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In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution...
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Updated: Jul 27, 2025

A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation
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Thermomechanical Peridynamic Modeling for Ductile Fracture.

Shankun Liu1, Fei Han1, Xiaoliang Deng2

  • 1State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, International Research Center for Computational Mechanics, Dalian University of Technology, Dalian 116023, China.

Materials (Basel, Switzerland)
|June 10, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces a peridynamics-based model for high-temperature ductile fracture, enhancing computational efficiency. The model accurately simulates superalloy fracture, aligning with experimental data and validating its effectiveness.

Keywords:
fracture simulationperidynamicsplastic deformationthermoelastic coupling

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Area of Science:

  • Computational mechanics
  • Materials science
  • Fracture mechanics

Background:

  • High-temperature applications present challenges for material integrity due to ductile fracture.
  • Accurate modeling of ductile fracture is crucial for structural safety and performance.
  • Existing computational methods may face limitations in simulating complex fracture phenomena at elevated temperatures.

Purpose of the Study:

  • To propose an efficient and accurate modeling method for ductile fracture at high temperatures using peridynamics.
  • To develop a computational framework that integrates peridynamics with classical continuum mechanics for reduced cost.
  • To validate the proposed model through numerical simulations and experimental comparisons.

Main Methods:

  • A thermoelastic coupling model combining peridynamics and classical continuum mechanics was employed.
  • A plastic constitutive model for peridynamic bonds was developed to capture ductile fracture.
  • An iterative algorithm was introduced for ductile-fracture calculations.
  • Numerical simulations were performed on superalloy structures at 800°C and 900°C.

Main Results:

  • The proposed model successfully simulated ductile fracture processes in superalloys at high temperatures.
  • Computational costs were reduced by localizing peridynamics calculations to the failure region.
  • Simulated crack modes closely matched experimental observations.
  • The model demonstrated strong agreement with experimental data, verifying its predictive capability.

Conclusions:

  • The developed peridynamics-based modeling method is effective for simulating high-temperature ductile fracture.
  • The integration of peridynamics with continuum mechanics offers an efficient approach to fracture analysis.
  • The model's ability to replicate experimental crack modes validates its applicability in engineering contexts.