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Related Concept Videos

Stress: General Loading Conditions01:15

Stress: General Loading Conditions

301
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....
301
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

252
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.
252
Generalized Hooke's Law01:22

Generalized Hooke's Law

853
The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
853
Normal Strain under Axial Loading01:20

Normal Strain under Axial Loading

446
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...
446
Fatigue01:21

Fatigue

174
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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Plastic Behavior01:21

Plastic Behavior

190
A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...
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Stress fracture of bone under physiological multiaxial cyclic loading: Activity-based predictive models.

Winson T George1, Shayom Debopadhaya2, Samuel J Stephen3

  • 1Bryr Mawr Family Practice, Bryn Mawr, PA 19010, USA; Center for Biotechnology and Interdisciplinary Studies, Department of Biomedical Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180, USA.

Bone
|October 11, 2024
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Summary

New models predict bone fracture risk from repetitive loading. Engineering failure criteria accurately estimate fatigue life, showing older bone is more susceptible to fractures from daily activities.

Keywords:
AgeDamageFatigueInsufficiency fractureModelStress fracture

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Area of Science:

  • Biomechanics
  • Orthopedics
  • Materials Science

Background:

  • Excessive fatigue damage from daily activities contributes to bone fracture.
  • Current uniaxial loading models overestimate bone fatigue life, limiting effective fracture management strategies.

Purpose of the Study:

  • Develop a physiologically relevant model for bone failure under multiaxial cyclic loading.
  • Investigate the efficacy of engineering failure criteria for predicting tibial fractures.

Main Methods:

  • Utilized four engineering failure criteria (Von Mises, Tsai-Wu, Findley critical plane, maximum shear strain) on human tibiae from cadavers (ages 21-85).
  • Analyzed failure criteria effectiveness in combined and age-stratified donor groups (younger: 21-52, older: 57-85).
  • Validated the maximum shear strain model using published in vivo human data.

Main Results:

  • All four failure criteria effectively modeled in vitro tibial fracture (r² > 0.84 combined, r² > 0.83 stratified).
  • Older age groups exhibited significantly lower fatigue curves across all criteria (p < 0.001).
  • The maximum shear strain model predicted in vivo failure cycles (5,000-200,000) and showed a 3-fold reduction in fatigue life for older donors.

Conclusions:

  • Engineering failure criteria provide effective in vitro models for multiaxial bone loading and fracture prediction.
  • Age-related bone changes significantly increase susceptibility to fatigue-induced fractures.
  • These findings improve fatigue life estimations and inform fracture management strategies.