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Plastic Behavior01:21

Plastic Behavior

271
A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...
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Plasticity00:58

Plasticity

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Plasticity is the property where an object loses its elasticity and undergoes irreversible deformation, even after the deformation forces are eliminated. If a material deforms irreversibly without increasing stress or load, then this is called ideal plasticity. For example, when a force is applied to an aluminum rod, it changes its shape, but it does not return to its original shape once the force is removed. Plastic deformation or ductility is thus a permanent deformation or change in the...
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Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

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When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
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Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

164
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...
164
Plastic Deformations01:14

Plastic Deformations

137
It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...
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Generalized Hooke's Law01:22

Generalized Hooke's Law

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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...
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  1. Home
  3. Anisotropic Bounding Surface Plasticity Model For Soils.
  1. Home
  3. Anisotropic Bounding Surface Plasticity Model For Soils.

Related Experiment Video

A Bending Test for Determining the Atterberg Plastic Limit in Soils
08:16

A Bending Test for Determining the Atterberg Plastic Limit in Soils

Published on: June 28, 2016

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Anisotropic bounding surface plasticity model for soils.

Behnam Ghobadi1, Ehsan Taheri2, Mosleh Eftakhari1

  • 1Faculty of Engineering, Tarbiat Modares University, Tehran, Iran.

Scientific Reports
|July 2, 2025

View abstract on PubMed

Summary
This summary is machine-generated.

This study introduces a unified constitutive model for simulating clay and sand behavior, accurately predicting soil responses under monotonic loading using a novel dilatancy relationship and multilaminate framework.

Keywords:
General dilatancy ruleImplicit integrationMultilaminate theory.Sub-loading surfaceUnified constitutive model

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Area of Science:

  • Geotechnical Engineering
  • Soil Mechanics
  • Computational Geomechanics

Background:

  • Existing constitutive models often struggle to unify the behavior of both clay and sand.
  • Accurate simulation of soil behavior under monotonic loading is crucial for geotechnical applications.
  • Capturing induced anisotropy and strain softening in soil models remains a challenge.

Purpose of the Study:

  • To develop a unified constitutive model for simulating the monotonic behavior of clay and sand.
  • To incorporate a non-associated flow rule, critical state concept, and a novel dilatancy relationship.
  • To extend the model to capture anisotropic soil behavior within a multilaminate framework.

Main Methods:

  • Utilized a bounding surface approach for smooth elastic-plastic transition.
  • Implemented a novel dilatancy relationship for unified volumetric behavior.
  • Employed a multilaminate framework with 13 elastic-plastic planes for anisotropic behavior.
  • Used the implicit Euler method for model implementation.

    • Main Results:

    • The model successfully simulates monotonic behavior of both clay and sand.
    • It accurately reproduces strain softening and induced anisotropy.
    • Simulations show good agreement with experimental results for six soil samples under drained and undrained loading.

    Conclusions:

    • The proposed unified constitutive model effectively captures the complex behavior of soils.
    • The novel dilatancy relationship and multilaminate framework enhance predictive capabilities.
    • The model demonstrates significant potential for practical geotechnical engineering applications.