Modeling the initial-volume dependent approximate compressibility of porcine liver tissues using a novel volumetric strain energy model

2020 ◽  
Vol 109 ◽  
pp. 109901
Author(s):  
BingRui Wang ◽  
JianTao Liu ◽  
Wei Li ◽  
ZhongRong Zhou
Keyword(s):  
Strain Energy ◽  
Volumetric Strain ◽  
Energy Model ◽  
Porcine Liver ◽  
Initial Volume ◽  
Liver Tissues

Plastic Strain Energy Model for Rock Salt Under Fatigue Loading

2018 ◽  
Vol 31 (3) ◽  
pp. 322-331 ◽  
Author(s):  
M. M. He ◽  
N. Li ◽  
B. Q. Huang ◽  
C. H. Zhu ◽  
Y. S. Chen
Keyword(s):  
Plastic Strain ◽  
Rock Salt ◽  
Strain Energy ◽  
Fatigue Loading ◽  
Energy Model ◽  
Plastic Strain Energy

On Energy Strength Theories for Geomaterials

2013 ◽  
Vol 353-356 ◽  
pp. 901-904
Author(s):  
Shou Yi Xue
Keyword(s):  
Energy Density ◽  
Shear Strain ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Volumetric Strain ◽  
Dissipated Energy ◽  
Energy Theory ◽  
Shear Strain Energy ◽  
Shear Energy ◽  
Strain Energy Density Theory

The composition of the energy in the process of material deformation and failure and the relationship between energy and strength were summarized; the features, essences and main problems of the energy release rate theory, the three-shear energy theory and the net shear strain energy density theory were illustrated. It is pointed out that the roles of distortion strain energy, volumetric strain energy and dissipated energy are not identical, especially distortion strain energy and volumetric strain energy must be separately processed. The three-shear energy theory and the net shear strain energy density theory can properly deal with the problems, and also well reflect the intermediate principal stress effect. The above research results can provide references for further discussions.

On the Development of Volumetric Strain Energy Functions

1999 ◽  
Vol 67 (1) ◽  
pp. 17-21 ◽  
Author(s):  
S. Doll ◽  
K. Schweizerhof
Keyword(s):  
Strain Energy ◽  
Volumetric Strain ◽  
Strain Energy Function ◽  
Material Behavior ◽  
Additional Material ◽  
Energy Functions ◽  
Material Parameters ◽  
Physical Conditions ◽  
Starting Point ◽  
Strain Energy Functions

To describe elastic material behavior the starting point is the isochoric-volumetric decoupling of the strain energy function. The volumetric part is the central subject of this contribution. First, some volumetric functions given in the literature are discussed with respect to physical conditions, then three new volumetric functions are developed which fulfill all imposed conditions. One proposed function which contains two material parameters in addition to the compressibility parameter is treated in detail. Some parameter fits are carried out on the basis of well-known volumetric strain energy functions and experimental data. A generalization of the proposed function permits an unlimited number of additional material parameters.  Dedicated to Professor Franz Ziegler on the occasion of his 60th birthday. [S0021-8936(00)00901-6]

Further Study on the Net Shear Strain Energy Density Theory

2013 ◽  
Vol 423-426 ◽  
pp. 1644-1647
Author(s):  
Shou Yi Xue
Keyword(s):  
Energy Density ◽  
Shear Strain ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Elastic Strain Energy ◽  
Volumetric Strain ◽  
Material Strength ◽  
Strength Theory ◽  
Shear Strain Energy ◽  
Strain Energy Density Theory

The net shear strain energy density strength theory was systematically explained. Firstly, the composition of elastic strain energy and the roles of their own were analyzed, and it is pointed out that the distortion strain energy is the energy driving failure and the volumetric strain energy can help improve the material strength. Therefore, ultimate energy driving material damage should be the shear strain energy after deducting the friction effect, namely the net shear strain energy, which indicates rationality of the assumption adopted by the net shear strain energy strength theory. Secondly, the empirical laws of geomaterial strength were summarized and explained by using the net shear strain energy theory, which verifies the new theory is appropriate.

scholarly journals Microstructural characterization of vocal folds toward a strain-energy model of collagen remodeling

2013 ◽  
Vol 9 (8) ◽  
pp. 7957-7967 ◽  
Author(s):  
Amir K. Miri ◽  
Hossein K. Heris ◽  
Umakanta Tripathy ◽  
Paul W. Wiseman ◽  
Luc Mongeau
Keyword(s):  
Strain Energy ◽  
Microstructural Characterization ◽  
Vocal Folds ◽  
Energy Model ◽  
Collagen Remodeling

A study of ultra-low cycle fatigue failure based on a fracture strain energy model

2021 ◽  
Vol 146 ◽  
pp. 106149
Author(s):  
Tao Wang ◽  
Jian-Feng Wen ◽  
Peng-Peng Liao ◽  
Xian-Cheng Zhang ◽  
Yun-Jae Kim ◽  
...  
Keyword(s):  
Fatigue Failure ◽  
Strain Energy ◽  
Fracture Strain ◽  
Low Cycle Fatigue ◽  
Energy Model ◽  
Cycle Fatigue

Strain energy model for diffusion compensation in mineral

2006 ◽  
Vol 70 (18) ◽  
pp. A733
Author(s):  
B.H. Zhang ◽  
X.P. Wu ◽  
J.J. Lu ◽  
J.S. Xu
Keyword(s):  
Strain Energy ◽  
Energy Model

scholarly journals Novel Hyperelastic Models for Large Volumetric Deformations

2019 ◽  
Author(s):  
Kevin Mattheus Moerman ◽  
Behrooz Fereidoonnezhad ◽  
Patrick McGarry
Keyword(s):  
Strain Energy ◽  
Volumetric Strain ◽  
Cellular Solids ◽  
The Novel ◽  
Material Behaviour ◽  
Volume Changes ◽  
Volume Increase ◽  
Precise Control ◽  
Separate Control ◽  
Hyperelastic Models

Materials such as elastomeric foams, lattices, and cellular solids are capable of undergoing large elastic volume changes. Although many hyperelastic constitutive formulations have been proposed for deviatoric (shape changing) behaviour, few variations exist for large deformation volumetric behaviour. The first section of this paper presents a critical analysis of current volumetric hyperelastic models and highlights their limitations for large volumetric strains. In the second section of the paper we propose three novel volumetric strain energy density functions, which: 1) are valid for large volumetric deformations, 2) offer separate control of the volumetric strain stiffening behaviour during shrinkage (volume reduction) and expansion (volume increase), and 3) provide precise control of non-monotonic volumetric strain stiffening. To illustrate the ability of the novel formulations to capture complex volumetric material behaviour they are fitted and compared to a range of published experimental data.

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