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Related Concept Videos

Normal Strain under Axial Loading01:20

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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Bone remodeling is a continuous and balanced process of bone resorption by osteoclasts and bone formation by osteoblasts. In adults, it helps maintain bone mass and calcium homeostasis. While mechanical stress can stimulate turnover as part of the normal maintenance and reparative process, several hormones also regulate bone remodeling.
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Bending of Curved Members - Strain Analysis01:14

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The mechanics of deformation in curved members, such as beams or arches, under bending moments, involve complex responses. When such a member, symmetric about the y-axis and shaped like a segment of a circle centered at point C, is subjected to equal and opposite forces, its curvature and surface lengths change significantly. This alteration results in the shift of the curvature's center from C to C', indicating a tighter curve.
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Deformation of Member under Multiple Loadings01:11

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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.
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Transformation of Plane Strain01:12

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When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
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Three-Dimensional Analysis of Strain01:29

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Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
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Updated: Nov 11, 2025

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
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Modeling cortical bone adaptation using strain gradients.

Abhishek Kumar Tiwari1, Ajay Goyal2, Jitendra Prasad2

  • 1Department of Applied Mechanics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, Uttar Pradesh, India.

Proceedings of the Institution of Mechanical Engineers. Part H, Journal of Engineering in Medicine
|March 23, 2021
PubMed
Summary
This summary is machine-generated.

Strain gradients, not just normal strain, stimulate new bone formation (osteogenesis). This study validates strain gradients as a computationally simple and effective predictor of bone growth, potentially aiding in mitigating bone loss.

Keywords:
Cortical bone adaptationcomputer modelingmechanotransductionsite-specific osteogenesisstrain gradients

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Area of Science:

  • Biomechanics
  • Biomaterials Science
  • Cellular Biology

Background:

  • Cyclic loading promotes osteogenesis, but traditional models using normal strain, strain energy density, and fatigue damage struggle to predict bone formation at low-strain sites.
  • Existing models have limitations in explaining osteogenesis near neutral strain axes, highlighting the need for alternative osteogenic stimuli.
  • Fluid motion and strain gradients are recognized as potential stimuli, but the osteogenic role of strain gradients requires further elucidation.

Purpose of the Study:

  • To establish strain gradients as a valid osteogenic stimulus for predicting site-specific new bone formation.
  • To investigate the correlation between bending-induced strain gradients and observed osteogenesis in cortical bone.
  • To develop and validate an in silico model using strain gradients to predict in vivo bone formation.

Main Methods:

  • Computed bending-induced strain gradients at cortical bone cross-sections from animal loading studies.
  • Performed correlation analysis between calculated strain gradients and sites of osteogenesis.
  • Developed and utilized an in silico computational model to assess the osteogenic potential of strain gradients.

Main Results:

  • Strain gradients were identified as a significant osteogenic stimulus.
  • A strong correlation was found between strain gradients and the sites of new bone formation.
  • The developed in silico model accurately predicted in vivo new bone distribution based on strain gradients.

Conclusions:

  • Strain gradients are established as a computationally straightforward and robust stimulus for predicting site-specific osteogenesis.
  • This finding offers a promising biomechanical approach for understanding and potentially mitigating bone loss.
  • The study validates strain gradients as a key factor in bone remodeling and adaptation.