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Related Concept Videos

Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

751
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...
751
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

630
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
630
Shearing Strain01:20

Shearing Strain

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The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...
1.9K
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

776
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.
776
Temperature Dependent Deformation01:12

Temperature Dependent Deformation

673
In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
673
Bending of Curved Members - Strain Analysis01:14

Bending of Curved Members - Strain Analysis

663
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...
663

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Related Experiment Video

Updated: Apr 15, 2026

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
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Five challenges in modelling interacting strain dynamics.

Paul S Wikramaratna1, Adam Kucharski2, Sunetra Gupta3

  • 1Institute of Evolutionary Biology, University of Edinburgh, Edinburgh EH9 3JT, United Kingdom; Department of Zoology, University of Oxford, South Parks Road, Oxford OX1 3PS, United Kingdom.

Epidemics
|April 7, 2015
PubMed
Summary
This summary is machine-generated.

Modeling sequential infections from multiple pathogen strains presents challenges. This research outlines key difficulties in developing realistic and tractable population epidemiological models for diseases with diverse strains.

Keywords:
Adaptive immunityCross-immunityMathematical modellingMultiple strainsPathogen evolution

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Area of Science:

  • Epidemiology
  • Mathematical Modeling
  • Infectious Disease Dynamics

Background:

  • Population epidemiological models are crucial for understanding diseases with multiple infecting strains.
  • Developing these models is complex due to challenges in incorporating realistic assumptions and maintaining tractability.
  • Existing models often struggle with the intricacies of sequential infections and diverse pathogen strains.

Purpose of the Study:

  • To outline the primary challenges in creating population epidemiological models for diseases with multiple strains.
  • To address the translation of within-host dynamics to population-level models.
  • To explore the concept of "strain space" and the impact of host heterogeneities.

Main Methods:

  • Conceptual framework outlining challenges in multi-strain epidemiological modeling.
  • Discussion of translating within-host dynamics to population models.
  • Analysis of host heterogeneities and their influence on disease spread.

Main Results:

  • Identified fundamental challenges in multi-strain epidemiological modeling.
  • Highlighted the complexity of "strain space" and host heterogeneities.
  • Emphasized the difficulty in modeling cumulative immunity after multiple exposures.

Conclusions:

  • Developing realistic and tractable multi-strain epidemiological models requires addressing significant technical challenges.
  • Further research is needed to effectively model host heterogeneities and cumulative immunity in infectious diseases.
  • Improved modeling approaches are essential for understanding and controlling diseases with diverse pathogen strains.