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

Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

121
The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...
121
Bending of Members Made of Several Materials01:08

Bending of Members Made of Several Materials

223
In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
223
Circular Shafts - Elastoplastic Materials01:24

Circular Shafts - Elastoplastic Materials

124
The study of solid circular shafts under stress shows that within the elastic limit, stress increases directly to the distance from the shaft's center. This relationship holds until the shaft reaches a critical point of stress, beyond which it begins to yield, marking the transition from elastic to plastic deformation. At this crucial juncture, the maximum torque the shaft can endure without permanent deformation is determined, signifying the limit of its elastic behavior.
As torque on the...
124
Residual Stresses in Bending01:18

Residual Stresses in Bending

207
In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...
207
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

217
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...
217
Plastic Deformations01:19

Plastic Deformations

152
Plastic deformation represents a fundamental concept in materials science, which explains the irreversible change in the shape of a material when it experiences stress beyond its elastic capability. This phenomenon is important in structural engineering, especially in designing and analyzing cantilever beams—structures that are securely fixed at one end and bear loads at the opposite end. When these beams are subjected to loads within their elastic range, they will return to their...
152

You might also read

Related Articles

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

Sort by
Same author

Multiplexed optoacoustic tracking and magnetic actuation of labeled blood cells in living mice.

Science advances·2026
Same author

Matrix-Free Inexact Preconditioning Techniques for Isogeometric Tensor-Product Discretizations.

Journal of scientific computing·2026
Same author

Double-helix optical point spread function enables real-time mesoscopic 3D functional microangiography in the living mouse brain and skull.

Nature communications·2026
Same author

A multiscale optimization framework for bone remodelling: integrating material and structural adaptations across hierarchical scales.

Journal of the Royal Society, Interface·2026
Same author

A multi-compartment homogenized perfusion model for deforming hierarchical vasculature.

Biomechanics and modeling in mechanobiology·2025
Same author

In Vivo Network-Level Cerebrovascular Mapping Reveals the Impact of Flow Topology on Capillary Stalls After Stroke.

bioRxiv : the preprint server for biology·2025

Related Experiment Video

Updated: Jul 18, 2025

Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation
11:11

Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation

Published on: May 2, 2016

11.1K

Thermodynamically consistent concurrent material and structure optimization of elastoplastic multiphase hierarchical

Tarun Gangwar1,2, Dominik Schillinger2

  • 1Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, India.

Structural and Multidisciplinary Optimization : Journal of the International Society for Structural and Multidisciplinary Optimization
|August 21, 2023
PubMed
Summary

This study introduces a new method for concurrent material and structure optimization in multiphase hierarchical systems. It enables computationally feasible design of materials with complex microstructures and evolving behaviors.

Keywords:
Concurrent designContinuum micromechanicsElastoplasticityHomogenizationMultiphase topology optimizationPath-dependent optimization

More Related Videos

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

962
Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions
11:38

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions

Published on: April 19, 2018

8.0K

Related Experiment Videos

Last Updated: Jul 18, 2025

Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation
11:11

Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation

Published on: May 2, 2016

11.1K
Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

962
Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions
11:38

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions

Published on: April 19, 2018

8.0K

Area of Science:

  • Multiscale Material Science
  • Computational Mechanics
  • Optimization Theory

Background:

  • Concurrent material and structure optimization is crucial for designing multiphase hierarchical systems.
  • Optimizing microstructure configurations across multiple length scales presents significant computational challenges.
  • Existing methods struggle with the complexity of evolving microstructures and their impact on macroscale behavior.

Purpose of the Study:

  • To develop a novel, computationally feasible formulation for concurrent material and structure optimization.
  • To address multiphase hierarchical systems with elastoplastic constituents at the material scales.
  • To integrate continuum micromechanics for accurate stiffness and yield criterion estimation.

Main Methods:

  • Split the multiscale optimization problem into nested macroscale (structure) and microscale (material) sub-problems.
  • Reformulate the material optimization problem using the maximum plastic dissipation principle.
  • Employ modified return mapping algorithms for efficient solution of the elastoplastic constitutive law.

Main Results:

  • Established a novel formulation for concurrent optimization of elastoplastic multiphase hierarchical systems.
  • Integrated continuum micromechanics to enable computationally feasible material optimization.
  • Demonstrated accuracy and robustness through new benchmark tests across multiple material scales.

Conclusions:

  • The proposed framework offers a computationally feasible approach to concurrent material and structure optimization.
  • The formulation naturally extends to other path-dependent effects like viscoplasticity, fracture, and damage.
  • This work paves the way for efficient design of advanced materials with complex hierarchical microstructures.