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Related Concept Videos

Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

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...
Bending of Curved Members - Strain Analysis01:14

Bending of Curved Members - Strain Analysis

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.
The important part of bending analysis for such a member is the...
Plastic Deformations01:14

Plastic Deformations

It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...

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Related Experiment Video

Updated: Jun 29, 2026

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

An efficient framework for fully deformable finite element musculoskeletal spine modeling: development, sensitivity

Linda Carpenedo1, Luigi La Barbera1

  • 1Laboratory of Biological Structure Mechanics - Department of Chemistry, Materials and Chemical Engineering "Giulio Natta", Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy.

Journal of Biomechanics
|June 27, 2026
PubMed
Summary

This study developed an advanced computational model of the spine, integrating muscle forces to accurately predict spinal biomechanics and internal loads during various movements. The model enhances understanding of load distribution across spinal structures.

Keywords:
Finite element modelingLoad sharingLow back painMusculoskeletalSpine biomechanics

Related Experiment Videos

Last Updated: Jun 29, 2026

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:

  • Biomechanics
  • Computational modeling
  • Spinal research

Background:

  • Current computational musculoskeletal models simplify spinal structures and lack muscle integration.
  • Accurate prediction of internal spinal loads under realistic conditions remains a challenge.

Purpose of the Study:

  • To integrate active muscle architecture into a lumbar finite element (FE) model.
  • To develop efficient surrogate models for predicting spinal kinematics based on muscle forces.
  • To enable detailed load-sharing assessments across spinal components.

Main Methods:

  • Utilized a multi-stage dimensionality reduction strategy (Plackett-Burman, Latin Hypercube, Farthest Point Sampling).
  • Developed surrogate Generalized Linear Models to predict spinal kinematics.
  • Employed an optimization procedure to identify muscle activations minimizing energy criteria.

Main Results:

  • Model accurately predicted physiological trends, with increased abdominal activation and intradiscal pressure during flexion.
  • Calculated L4-L5 compressive forces in standing (74% body weight) and detailed load distribution (disc: 44%, facet capsules: up to 26%).
  • Demonstrated significant increases in disc load and facet capsule tension during flexion, with the disc bearing primary shear forces.

Conclusions:

  • The integrated model accurately predicts complex spinal loading patterns.
  • The approach reduces computational cost for musculoskeletal FE simulations.
  • Provides a more comprehensive understanding of spinal biomechanics and load sharing.