Related Experiment Video
Updated: Aug 22, 2025
11:28
A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
Published on: May 18, 2015
12.6K
Review on Stress-Fractional Plasticity Models
Pengfei Qu1,2, Yifei Sun2, Wojciech Sumelka3
1School of Management Science and Engineering, Shandong Technology and Business University, Yantai 264005, China.
Materials (Basel, Switzerland)
|November 11, 2022
Summary
Fractional plasticity (FP) advances mechanics by using fractional calculus to model material behavior. This review explores FP
Area of Science:
- Mechanics
- Materials Science
- Applied Mathematics
Background:
- Fractional calculus is increasingly vital in mechanics.
- Fractional plasticity (FP) offers an alternative to traditional plasticity models.
- FP efficiently models state-dependent nonassociativity without a plastic potential function.
Purpose of the Study:
- To review the interdisciplinary progress of fractional plasticity.
- To explore the role of the stress length scale (SLS) in FP.
- To analyze different branches of FP based on stress state considerations.
Main Methods:
- Defining the stress length scale (SLS) for fractional differentials.
- Developing FP branches based on past and future stress states.
- Discussing merits, demerits, and potential applications of FP.
Main Results:
- The SLS influences the direction and intensity of nonassociated flow in geomaterials.
- Two main branches of FP are identified: past stress and future reference critical state.
- A third branch of FP is proposed, integrating both past and future stress influences.
Conclusions:
- Fractional plasticity provides a robust framework for advanced constitutive modeling.
- The stress length scale is a critical parameter in fractional plasticity.
- Further research into specific SLS and applications of the third FP branch is warranted.
Related Concept Videos
01:21Plastic Behavior
249
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...
249
00:58Plasticity
2.5K
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...
2.5K
01:14Plastic Deformations
119
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...
119
01:19Members Made of Elastoplastic Material
136
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...
As the bending moment...
136
01:21Plastic Deformations of Members with a Single Plane of Symmetry
118
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...
118
01:18Transformation of Plane Stress
359
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...
359