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

Generalized Hooke's Law01:22

Generalized Hooke's Law

1.4K
The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
1.4K
Flexural Stress01:16

Flexural Stress

359
When analyzing bending in symmetric members, it's crucial to understand how stresses distribute when subjected to bending moments. This stress distribution is effectively described by applying fundamental mechanics and material science principles, particularly Hooke's Law for elastic materials.
Hooke's Law states that within the material's elastic limits, stress is directly proportional to strain. In a member experiencing a bending moment, the strain at any point is relative to...
359
The Small x Assumption02:20

The Small x Assumption

46.5K
If a reaction has a small equilibrium constant, the equilibrium position favors the reactants. In such reactions, a negligible change in concentration may occur if the initial concentrations of reactants are high and the Kc value is small. In such circumstances, the equilibrium concentration is approximately equal to its initial concentration.  This estimation can be used to simplify the equilibrium calculations by assuming that some equilibrium concentrations are equal to the initial...
46.5K
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

276
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...
276
Shear and Bending Moment Diagram: Problem Solving01:24

Shear and Bending Moment Diagram: Problem Solving

1.9K
When analyzing a beam supporting concentrated loads and a distributed load, drawing the shear and bending moment diagrams is essential. These diagrams help understand the internal forces and moments acting on the beam, which is crucial for designing safe and efficient structures. Follow these steps to create the shear and bending moment diagrams:
Draw a Free-Body Diagram: Start by drawing a free-body diagram of the entire beam, including the concentrated loads, distributed load, and reaction...
1.9K
Bending of Curved Members - Neutral Surface01:16

Bending of Curved Members - Neutral Surface

234
In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within...
234

You might also read

Related Articles

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

Sort by
Same author

TOXTRUST: a tool leveraging the Dempster-Shafer Theory for robust integration of NAM results in decision-making considering uncertainty.

NAM journal·2026
Same author

PM<sub>2.5</sub> air pollution inequities in the US by sector and state: Past trajectories and future directions.

Science advances·2026
Same author

Stakeholder input towards further refinement and consolidation of the alternative safety profiling algorithm (ASPA) for next generation risk assessment (NGRA).

ALTEX·2026
Same author

A Simple Framework for Collaborative Development of Predictive Models Trained on Proprietary Data.

Journal of chemical information and modeling·2025
Same author

An Alternative Safety Profiling Algorithm (ASPA) to transform next generation risk assessment into a structured and transparent process.

ALTEX·2025
Same author

The Findable, Accessible, Interoperable, Reusable (FAIR) Lite Principles to ensure utility of computational toxicology models.

ALTEX·2025

Related Experiment Video

Updated: Sep 6, 2025

A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
11:28

A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials

Published on: May 18, 2015

12.6K

Explicit meshfree solution of the dynamic Biot formulation at large strain.

Pedro Navas1, Miguel Molinos2, Miguel M Stickle2

  • 1Department of Continuum Mechanics and Theory of Structures, Technical University of Madrid, Madrid, Spain.

Computational Particle Mechanics
|June 29, 2022
PubMed
Summary

This study presents a novel computational method for simulating saturated soils under dynamic loads and large deformations. The approach enhances accuracy and efficiency in geomechanical analysis, reducing computational costs for complex soil behavior simulations.

Keywords:
Biot’s equationsExplicit approachLarge strainsMeshfreeNewmark predictor-corrector

More Related Videos

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

9.8K
A Novel Stretching Platform for Applications in Cell and Tissue Mechanobiology
16:46

A Novel Stretching Platform for Applications in Cell and Tissue Mechanobiology

Published on: June 3, 2014

11.8K

Related Experiment Videos

Last Updated: Sep 6, 2025

A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
11:28

A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials

Published on: May 18, 2015

12.6K
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

9.8K
A Novel Stretching Platform for Applications in Cell and Tissue Mechanobiology
16:46

A Novel Stretching Platform for Applications in Cell and Tissue Mechanobiology

Published on: June 3, 2014

11.8K

Area of Science:

  • Geotechnical Engineering
  • Computational Mechanics
  • Pore Water Pressure Dynamics

Background:

  • Simulating saturated soils under dynamic loads requires robust numerical methods capable of handling large deformations.
  • Traditional methods often face high computational costs or limitations in accuracy for complex geomechanical problems.
  • Understanding the coupled behavior of solid and fluid phases is crucial for accurate soil dynamics analysis.

Purpose of the Study:

  • To introduce an efficient and robust methodology for simulating saturated soils under low-to-medium frequency dynamic loadings.
  • To address the challenges of large deformation regimes in geomechanical simulations.
  • To develop a computationally less expensive yet accurate numerical approach for dynamic soil analysis.

Main Methods:

  • Utilizing a dynamic reduced formulation of Biot's equations to solve the coupled solid-fluid phases (solid displacement - pore water pressure).
  • Employing an explicit two-steps Newmark predictor-corrector time integration scheme for accurate large strain analysis.
  • Implementing Local Maximum Entropy shape functions within the Optimal Transportation Meshfree framework for numerical solutions.

Main Results:

  • The proposed methodology efficiently simulates saturated soils under large deformation dynamic loadings.
  • The explicit Newmark scheme provides accurate solutions at large strains, avoiding the high costs of implicit methods.
  • Numerical simulations demonstrate the effectiveness of the Local Maximum Entropy and Optimal Transportation Meshfree framework in fluid-saturated porous media.

Conclusions:

  • The developed methodology offers an efficient and robust solution for simulating complex geomechanical problems involving saturated soils.
  • This approach significantly reduces computational expense while maintaining high accuracy for large deformation dynamic analyses.
  • The study highlights the potential of advanced meshfree methods and explicit integration schemes in geotechnical engineering.