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Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

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When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
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Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

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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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Impact Loading01:19

Impact Loading

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Impact loading occurs when a moving object collides with a stationary structure, such as a rod with a uniform cross-sectional area fixed at one end. Under these conditions, the rod absorbs the kinetic energy from the striking object, leading to deformation and subsequent stress development. As the rod returns to its original position and reaches maximum stress, the absorbed energy, initially manifested as kinetic energy, transforms entirely into strain energy.
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Deformation of a Beam under Transverse Loading01:15

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Understanding beam deflection, particularly for indeterminate beams with overhanging segments and multiple concentrated loads, is crucial for ensuring structural integrity and functionality. The process begins with constructing an accurate free-body diagram, which helps identify the forces and moments acting on the beam. This diagram is vital for visualizing how bending moments vary along the beam's length, influencing its curvature.
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Normal Strain under Axial Loading

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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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In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...
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An Improved Mechanical Testing Method to Assess Bone-implant Anchorage
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Effect of loading frequency on deformations at the bone-implant interface.

Shuqiao Xie1, Krishnagoud Manda1,2, Pankaj Pankaj1

  • 1School of Engineering, Institute for Bioengineering, The University of Edinburgh, Edinburgh, UK.

Proceedings of the Institution of Mechanical Engineers. Part H, Journal of Engineering in Medicine
|September 28, 2019
PubMed
Summary

This study reveals how bone-implant separation changes with loading frequency and cycles. Higher frequencies initially reduce displacement, but prolonged cyclic loading can increase it, impacting implant loosening.

Keywords:
Bone volume ratiocyclic loadingdisplacement accumulationtime-dependent behaviourviscoelastic

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Area of Science:

  • Biomaterials Science
  • Orthopedic Biomechanics
  • Surgical Implant Technology

Background:

  • Implant loosening is a common complication in joint replacement and fracture fixation.
  • Understanding the time-dependent mechanical behavior of bone-implant interfaces is crucial for predicting and preventing loosening.
  • Existing time-independent models fail to capture the complex interactions under cyclic loading.

Purpose of the Study:

  • To investigate the time-dependent behavior of bone-implant constructs under cyclic loading.
  • To analyze the influence of loading frequency and cycle number on bone-implant interfacial displacement.
  • To evaluate the role of bone volume ratio in the mechanical response of the bone-implant system.

Main Methods:

  • Utilized viscoelastic properties of trabecular bone from prior experimental studies.
  • Simulated a representative bone-implant construct subjected to cyclic loading.
  • Varied loading frequencies and monitored interfacial displacement over a number of cycles.

Main Results:

  • Bone-implant separation is dependent on loading frequency and increases with the number of loading cycles.
  • Initially, higher frequencies lead to lower displacement; however, after extensive cycling (>500 cycles), higher frequencies cause greater displacement.
  • Interfacial displacement consistently increases as the bone volume ratio decreases.

Conclusions:

  • The developed approach accurately simulates the mechanical environment at the bone-implant interface under cyclic loading.
  • This model can predict implant loosening, overcoming limitations of time-independent models.
  • Findings provide insights into optimizing implant design and surgical procedures to mitigate loosening.