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Related Concept Videos

Stress: General Loading Conditions01:15

Stress: General Loading Conditions

To grasp the intricacy of real-world conditions where multiple loads are applied simultaneously to a structure, one might visualize a section passing through a specific point within a body, aligned parallel to the xy plane. This section is subjected to various forces, including original loads, normal forces, and shearing forces.
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes.
Dynamic Modulus of Elasticity of Concrete01:16

Dynamic Modulus of Elasticity of Concrete

The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by a...
Applications of Stress01:04

Applications of Stress

Consider a structure made of a boom and a rod designed to support a load. These two components are connected by a pin and stabilized by brackets and pins. The boom and the rod are detached from their supports to assess the different stresses imposed on this structure, and a free-body diagram is drawn. Then, all the forces applied, including the load acting on the structure, are identified. The reaction forces exerted on both the boom and the rod are computed using the equilibrium equations.
The...
Flexural Stress01:16

Flexural Stress

When analyzing bending in symmetric members, it's crucial to understand how stresses distribute when subjected to bending moments. This stress distribution is effectively described by applying fundamental mechanics and material science principles, particularly Hooke's Law for elastic materials.
Hooke's Law states that within the material's elastic limits, stress is directly proportional to strain. In a member experiencing a bending moment, the strain at any point is relative to its distance...
Stresses under Combined Loadings01:23

Stresses under Combined Loadings

When analyzing a bent tube with a circular cross-section subjected to multiple forces, it is crucial to determine the stress distribution in order to maintain structural integrity under varied load conditions.
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

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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Related Experiment Video

Updated: Jun 27, 2026

A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation
09:12

A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation

Published on: June 28, 2015

Mixed-Mode Dynamic Stress Intensity Factors and Fracture Analysis Using Ordinary State-Based Peridynamics.

Yanyun Ru1, Fei Li1, Xingyu Li1

  • 1School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China.

Materials (Basel, Switzerland)
|June 26, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces an Ordinary State-Based Peridynamic (OSPD) approach for simulating crack propagation and calculating dynamic stress intensity factors (DSIFs) in brittle solids. The OSPD method accurately predicts fracture behavior under various loading conditions, proving effective for complex crack systems.

Keywords:
brittle solidscircular holecrack propagationdynamic stress intensity factorsmixed-mode fractureperidynamics

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Last Updated: Jun 27, 2026

A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation
09:12

A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation

Published on: June 28, 2015

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
09:32

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion

Published on: April 11, 2018

Area of Science:

  • Solid Mechanics
  • Computational Mechanics
  • Fracture Mechanics

Background:

  • Accurate simulation of crack propagation and stress intensity factors is crucial for understanding material failure.
  • Traditional methods face challenges in modeling complex fracture phenomena in brittle solids.

Purpose of the Study:

  • To propose and validate an Ordinary State-Based Peridynamic (OSPD) approach combined with an interaction integral method.
  • To calculate dynamic stress intensity factors (DSIFs) and simulate crack propagation in 2D brittle solids.
  • To investigate the influence of geometric discontinuities like circular holes on fracture behavior.

Main Methods:

  • Implementation of the OSPD approach with an interaction integral method for DSIF calculation.
  • Incorporation of a local damping scheme for convergence in static and quasi-static analyses.
  • Numerical simulations for mode I and mixed-mode cracks under static, quasi-static, and dynamic loading.

Main Results:

  • The OSPD approach successfully captured complex dynamic fracture phenomena, including crack branching.
  • Peak DSIFs under dynamic loading were found to exceed static values.
  • Simulations showed high accuracy in predicting elastic deformation, SIFs, and crack paths, validated against benchmarks and FEM.

Conclusions:

  • The proposed OSPD approach is accurate and effective for quasi-static and dynamic fracture analysis in brittle solids.
  • The method demonstrates suitability for investigating complex fracture systems beyond benchmark problems.
  • OSPD provides a robust tool for predicting crack propagation and stress intensity factors in advanced engineering applications.