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Plastic Behavior01:21

Plastic Behavior

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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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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.
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Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

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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.
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Hooke's Law01:26

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Hooke's law, a pivotal principle in material science, establishes that the strain a material undergoes is directly proportional to the applied stress, defined by a factor called the modulus of elasticity or Young's modulus.
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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...
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Dynamic Modulus of Elasticity of Concrete01:16

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The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
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Updated: Aug 11, 2025

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A nonlinear viscoelastic constitutive model with damage and experimental validation for composite solid propellant.

Hui Li1, Jin-Sheng Xu2, Xiong Chen1

  • 1School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, 210094, People's Republic of China.

Scientific Reports
|February 4, 2023
PubMed
Summary
This summary is machine-generated.

A new nonlinear viscoelastic model predicts composite solid propellant (CSP) behavior under varying strain rates and pressures. This model incorporates an energy-based damage criterion, enhancing reliability assessments for solid rocket motor ignition.

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Solid Propellant Mechanics

Background:

  • Assessing solid propellant grain reliability during ignition requires understanding their mechanical behavior under operational stresses.
  • Existing models often do not fully capture the coupled effects of strain rate and confining pressure on composite solid propellant (CSP) mechanical responses.

Purpose of the Study:

  • To develop and validate a nonlinear viscoelastic constitutive model for CSP that accounts for strain rate and confining pressure effects.
  • To introduce a novel energy-based damage initiation and evolution criterion within the constitutive model.

Main Methods:

  • Proposed a nonlinear viscoelastic constitutive model incorporating an energy-based damage criterion.
  • Conducted uniaxial tensile and stress relaxation tests under varying strain rates and confining pressures using a custom active confining pressure device.
  • Employed parameter identification procedures and validated the model against experimental data, constructing a master curve using the time-pressure superposition principle (TPSP).

Main Results:

  • The developed model successfully describes the coupled effects of strain rate, damage history, and confining pressure on CSP mechanical responses.
  • Experimental validation confirmed the model's capability in predicting stress-strain behavior under diverse conditions.
  • The master curve of the damage initiation parameter was successfully constructed.

Conclusions:

  • The proposed nonlinear viscoelastic constitutive model accurately predicts the mechanical behavior of CSP under combined strain rate and confining pressure.
  • The novel energy-based damage criterion effectively captures material degradation under operational conditions.
  • The model enhances the reliability assessment of solid propellant grains during ignition.