Related Experiment Video
Updated: Aug 20, 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
A three-dimensional fractional visco-hyperelastic model for soft materials
Yunfei Gao1, Deshun Yin2, Mao Tang2
1College of Mechanics and Materials, Hohai University, Nanjing, 211100, PR China; Henan International Joint Laboratory of Structural Mechanics and Computational Simulation, Huanghuai University, Zhumadian, 463003, PR China.
Journal of the Mechanical Behavior of Biomedical Materials
|November 17, 2022
Summary
This study introduces a new fractional visco-hyperelastic model for soft materials. The model accurately captures rate-dependent mechanical behavior, simplifying constitutive modeling for complex soft elements.
Area of Science:
- Materials Science
- Mechanical Engineering
- Applied Mathematics
Background:
- Soft materials exhibit complex mechanical behaviors due to combined elasticity and viscosity.
- Accurate constitutive modeling is essential for designing and understanding soft material applications.
- Existing models often face challenges with complexity and calibration.
Purpose of the Study:
- To develop a novel fractional visco-hyperelastic constitutive model for soft materials.
- To simplify the constitutive modeling of soft materials by incorporating fractional mechanics.
- To accurately characterize the rate-dependent mechanical behavior of soft materials.
Main Methods:
- Developed a constitutive model combining a hyperelastic spring and a non-linear fractional dashpot.
- Incorporated 3D fractional viscoelasticity into finite strain theory.
- Utilized a two-branch model to describe equilibrium and time-dependent responses.
Main Results:
- The proposed fractional model successfully describes rate-dependent mechanical behavior.
- The model accurately predicts material responses across different deformation modes.
- Fractional mechanics approach avoids complex calibration and numerous governing equations.
Conclusions:
- The fractional visco-hyperelastic model offers an effective method for characterizing soft materials.
- This approach simplifies constitutive modeling while maintaining predictive accuracy.
- The model advances the understanding of soft material mechanics through fractional calculus.
Related Concept Videos
01:22Generalized Hooke's Law
1.2K
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...
1.2K
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
01:15Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
314
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.
314
01:08Bending of Members Made of Several Materials
248
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...
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
248
01:20Elastic Strain Energy for Shearing Stresses
263
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...
263
01:30Three-Dimensional Force System
2.1K
In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z coordinate axes. The three-dimensional force system is an important concept in mechanical engineering, as it allows engineers to understand and analyze the behavior of objects and structures in three dimensions. By understanding the forces acting on a system, engineers can design more efficient and effective mechanical systems that can withstand...
2.1K