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Related Concept Videos

General State of Stress01:21

General State of Stress

781
The general state of stress within a material can be accurately depicted using a stress tensor. This tensor encapsulates the internal forces distributed within a material subjected to external forces or deformations.
Specifically, consider a tetrahedral element where one face, labeled XYZ, is perpendicular to the line OA, and the remaining faces align with the coordinate axes with point O as the origin. At any point, such as point O, the stress tensor can be used to determine the stress...
781
Stress: General Loading Conditions01:15

Stress: General Loading Conditions

681
To grasp the intricacy of real-world conditions where multiple loads are applied simultaneously to a structure, one might visualize a section passing through a specific point within a body, aligned parallel to the xy plane. This section is subjected to various forces, including original loads, normal forces, and shearing forces.
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes....
681
Transformation of Plane Stress01:18

Transformation of Plane Stress

851
Studying stress transformation is essential in understanding how stress components within a material, like a cube under plane stress, change with rotation. This change is analyzed by considering a prismatic element within the cube. As the element rotates, the stress components acting on it—both normal and shearing stresses—change in magnitude and orientation. This change is quantified using trigonometric functions of the rotation angle, relating the forces acting on the rotated element's...
851
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

600
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...
600
Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

489
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...
489
Bending of Members Made of Several Materials01:11

Bending of Members Made of Several Materials

720
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 material's...
720

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Updated: Mar 28, 2026

A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
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Time-space multiscale model for viscoelastic construction materials using the initial stress method.

Xueren Wang1,2, Yanchao Wang3,2, Hongfu Qiang2

  • 1School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China.

Iscience
|March 27, 2026
PubMed
Summary

This study introduces an efficient multiscale finite element method (MsFEM) for predicting the long-term performance of viscoelastic materials. The novel approach enhances accuracy and efficiency in analyzing complex material behaviors for civil engineering applications.

Keywords:
applied sciencesmaterials science

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Area of Science:

  • Civil Engineering Materials Science
  • Computational Mechanics
  • Polymer Science

Background:

  • Viscoelastic materials like polymer-modified asphalt and rubberized concrete are crucial in civil engineering for damping and deformation recovery.
  • Their inherent time-dependent and heterogeneous nature complicates accurate long-term performance prediction and structural integrity assessment.
  • Efficient and precise multiscale analysis methods are essential for reliable engineering applications.

Purpose of the Study:

  • To develop and validate an efficient and accurate multiscale finite element method (MsFEM) for analyzing viscoelastic materials.
  • To address the challenges in predicting the long-term behavior of heterogeneous, time-dependent materials.
  • To provide a robust computational tool for structural health monitoring and sustainable design.

Main Methods:

  • Integration of the generalized Maxwell model (GMM) with the initial stress method within a multiscale finite element framework.
  • Conversion of time-domain convolution constitutive relations into incremental elastic problems for computational efficiency.
  • Utilization of mesoscale heterogeneity-representing basis functions for effective coarse-fine mesh coupling.

Main Results:

  • The proposed MsFEM successfully converts complex viscoelastic constitutive relations into computationally efficient incremental elastic problems.
  • A constant stiffness matrix is maintained, significantly boosting computational efficiency.
  • Validation against analytical solutions for axial rod and cantilever beam examples demonstrated high accuracy.

Conclusions:

  • The developed MsFEM offers a robust and accurate method for predicting the long-term performance of viscoelastic materials.
  • This approach enhances the reliability of structural integrity assessments and material performance predictions.
  • The method has significant potential applications in structural health monitoring, life cycle assessment, and sustainable civil engineering design.