Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

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

275
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.
275
Bending of Curved Members - Strain Analysis01:14

Bending of Curved Members - Strain Analysis

140
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...
140
Deformations in a Transverse Cross Section01:21

Deformations in a Transverse Cross Section

206
When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
206
Transformation of Plane Strain01:12

Transformation of Plane Strain

171
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.
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
171
Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

174
When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
174
Unsymmetric Bending01:18

Unsymmetric Bending

347
Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
347

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

CORR Insights®: Preliminary Surgical Findings and Complications After National Centralization of Pediatric Bone Sarcoma Resections in the Netherlands: a Benchmarking Study.

Clinical orthopaedics and related research·2026
Same author

Sufficiency of Isolated Vascularised Fibular Free Flaps for Pediatric Intercalary Lower Limb Reconstruction.

JB & JS open access·2026
Same author

Canadian Spine Society: 25th Annual Scientific Conference, February 25 to 28, 2025, Fairmont Le Manoir Richelieu, La Malbaie, Charlevoix, Que., Canada.

Canadian journal of surgery. Journal canadien de chirurgie·2025
Same author

Shoulder Motion Following Combined Glenoid Anteversion Osteotomy Compared with Soft Tissue Rebalancing Alone for Brachial Plexus Birth Injury.

JB & JS open access·2025
Same author

A thermodynamic perspective on mammalian neural crest ingression.

Proceedings of the National Academy of Sciences of the United States of America·2025
Same author

Tissue stiffness mapping by light sheet elastography.

Science advances·2025

Related Experiment Video

Updated: Jul 14, 2025

Engineering Fibrin-based Tissue Constructs from Myofibroblasts and Application of Constraints and Strain to Induce Cell and Collagen Reorganization
12:13

Engineering Fibrin-based Tissue Constructs from Myofibroblasts and Application of Constraints and Strain to Induce Cell and Collagen Reorganization

Published on: October 28, 2013

10.9K

Shape-driven confluent rigidity transition in curved biological tissues.

Evan C Thomas1, Sevan Hopyan2

  • 1Program in Developmental and Stem Cell Biology, Research Institute, The Hospital for Sick Children, Toronto, Ontario, Canada.

Biophysical Journal
|October 7, 2023
PubMed
Summary

Tissue geometry influences cell behavior. Curvature affects tissue rigidity, with positive curvature promoting fluidity and negative curvature promoting rigidity, impacting embryonic development and morphogenesis.

More Related Videos

Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics
14:14

Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics

Published on: April 16, 2017

11.6K
Patterning the Geometry of Human Embryonic Stem Cell Colonies on Compliant Substrates to Control Tissue-Level Mechanics
10:04

Patterning the Geometry of Human Embryonic Stem Cell Colonies on Compliant Substrates to Control Tissue-Level Mechanics

Published on: September 28, 2019

8.4K

Related Experiment Videos

Last Updated: Jul 14, 2025

Engineering Fibrin-based Tissue Constructs from Myofibroblasts and Application of Constraints and Strain to Induce Cell and Collagen Reorganization
12:13

Engineering Fibrin-based Tissue Constructs from Myofibroblasts and Application of Constraints and Strain to Induce Cell and Collagen Reorganization

Published on: October 28, 2013

10.9K
Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics
14:14

Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics

Published on: April 16, 2017

11.6K
Patterning the Geometry of Human Embryonic Stem Cell Colonies on Compliant Substrates to Control Tissue-Level Mechanics
10:04

Patterning the Geometry of Human Embryonic Stem Cell Colonies on Compliant Substrates to Control Tissue-Level Mechanics

Published on: September 28, 2019

8.4K

Area of Science:

  • Developmental Biology
  • Biophysics
  • Computational Biology

Background:

  • Collective cell motion is crucial for embryonic development and tissue formation.
  • Tissues display emergent properties like jamming and rigidity transitions.
  • The link between local cell properties, tissue geometry, and large-scale dynamics is not fully understood.

Purpose of the Study:

  • To investigate how local tissue geometry, specifically curvature, influences large-scale tissue behaviors.
  • To explore the interplay between cell shape and tissue curvature in controlling tissue rigidity.
  • To develop a testable model predicting tissue phase transitions based on curvature and cell shape.

Main Methods:

  • Utilized a 2D computational vertex model for confluent tissue monolayers.
  • Simulated tissue behavior on surfaces with constant positive and negative curvature.
  • Analyzed the rigidity phase transition controlled by the cell shape index (perimeter to area ratio).

Main Results:

  • Tissue rigidity transitions are dependent on surface curvature.
  • Positively curved tissues exhibit a more fluid phase, while negatively curved (saddle) tissues show a more rigid phase.
  • A phase diagram illustrating the relationship between curvature and shape index was generated.

Conclusions:

  • Surface curvature is a key factor in regulating tissue rigidity and dynamics.
  • Positive curvature may facilitate tissue remodeling and growth, while negative curvature promotes stability.
  • This model offers insights into morphogenesis, explaining phenomena in budding and branching structures without biochemical factors.