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Members Made of Elastoplastic Material

Members Made of Elastoplastic Material

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...

Residual Stresses in Bending

Residual Stresses in Bending

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...

Elasticity in Concrete

Elasticity in Concrete

Upon subjecting concrete to moderate or high uniaxial compressive or tensile stresses, the strain response is non-linear relative to the stress applied. As the stress is removed, the resulting stress-strain curve deviates from the original path traced during loading, creating a hysteresis loop, indicative of the concrete's non-linear and non-elastic properties. Typically, a material's modulus of elasticity, which is a measure of the material's stiffness, is inferred from the linear...

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.

Plastic Behavior

Plastic Behavior

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...

Types of Damping

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If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...

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Three-dimensional Biomimetic Technology: Novel Biorubber Creates Defined Micro- and Macro-scale Architectures in Collagen Hydrogels

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Study on a Pseudo-Elastic Model for High-Damping Rubber.

Zhihao Guo¹, Tianbo Peng^1,2

¹College of Civil Engineering, Tongji University, Shanghai 200092, China.

|November 9, 2024

Summary

This study introduces a new pseudo-elastic model for high-damping rubber (HDR) bearings, accounting for the Mullins effect and stiffness hardening. This advanced model improves seismic isolation predictions by classifying HDR behavior.

Keywords:

Mullins effect high-damping rubber multiple influencing factors pseudo-elasticity theory stiffness hardening

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Area of Science:

Civil Engineering
Materials Science
Mechanical Engineering

Background:

High-damping rubber (HDR) bearings are crucial for seismic isolation.
Existing HDR analysis models lack integration of key factors like the Mullins effect and stiffness hardening.
Accurate modeling is needed for practical seismic protection applications.

Purpose of the Study:

To develop a comprehensive pseudo-elastic model for HDR bearings.
To classify HDR behavior and analyze stress-strain relationships.
To incorporate the Mullins effect and stiffness hardening into the model.

Main Methods:

Classified HDR effective behavior and examined stress-strain relationships.
Developed mathematical models based on pseudo-elasticity theory.
Determined material parameters through tests and regression analysis.

Main Results:

Established a pseudo-elastic model for HDR by integrating parameter functions.
Validated the model's effectiveness through experimental tests.
Demonstrated that behavior classification captures distinct HDR patterns.

Conclusions:

HDR behavior classification effectively analyzes stress-strain relationships.
Material parameter functionalization complements theoretical models.
The pseudo-elastic model accurately explains HDR behavior, including Mullins effect and stiffness hardening, under various conditions.