Mechanical Properties and Binary-Medium-Based Constitutive Model for Coral-Reef Limestone Samples Subjected to Uniaxial Loading
Abstract
:1. Introduction
2. Constitutive Model for Coral-Reef Limestone Samples
2.1. Binary-Medium-Based Constitutive Model
2.1.1. Assumptions
2.1.2. Generalized Stress–Strain Relationship for Coral-Reef Limestone Samples
2.1.3. Stress–Strain Relationships for the Bonded Elements
2.1.4. Stress–Strain Relationships for Frictional Elements
2.1.5. Structural Parameters
2.2. Determination of the Model Parameters under Uniaxial Compression Conditions
2.2.1. Determination of the Parameters of the Bonded Elements
2.2.2. Parameter Determination of the Frictional Elements
2.2.3. Determination of Structural Parameters
3. Comparisons of the Tested and Model Predicted Results
3.1. Uniaxial Compressive Strength
3.2. Verification of Constitutive Model
3.3. Analysis of Varying Parameters
3.4. Analysis of Varying Parameters
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Sample | Uniaxial Compressive Strength (MPa) | Peak Strain (%) | Elastic Modulus (GPa) | Failure Mode |
---|---|---|---|---|
027 | 34 | 1.32 | 26 | Brittle failure |
028 | 32 | 1.42 | 22 | Brittle failure |
059 | 56 | 1.99 | 28 | Brittle failure |
078 | 17 | 0.97 | 18 | Brittle failure |
110 | 21 | 1.49 | 14 | Brittle failure |
115 | 32 | 1.20 | 27 | Brittle failure |
004 | 8 | 0.66 | 12 | Ductile failure |
046 | 23 | 1.07 | 21 | Ductile failure |
050 | 16 | 2.19 | 7 | Ductile failure |
065 | 8 | 0.70 | 11 | Ductile failure |
066 | 14 | 1.05 | 13 | Ductile failure |
084 | 21 | 1.27 | 17 | Ductile failure |
090 | 12 | 1.59 | 7 | Ductile failure |
096 | 14 | 1.05 | 13 | Ductile failure |
099 | 7 | 2.09 | 3 | Ductile failure |
106 | 25 | 1.32 | 19 | Ductile failure |
Mean | 21 | 1.34 | 16 |
Parameters | Sample 1 (MPa) | Sample 2 (MPa) | Sample 3 (MPa) |
---|---|---|---|
7430.4 | 15,170.4 | 18,808.2 | |
1218 | 4350 | 4640 | |
39.84 | 83.01 | 86.33 | |
31.51 | 38.15 | 39.81 |
Advantage | Disadvantage |
---|---|
Tests easily performed; Relatively simple stress state; Laws easily found. | Complex stress states can be reflected. |
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Zhang, Y.; Luo, H.; Chen, P.; Liu, E.; Chen, Y. Mechanical Properties and Binary-Medium-Based Constitutive Model for Coral-Reef Limestone Samples Subjected to Uniaxial Loading. Sustainability 2022, 14, 12193. https://doi.org/10.3390/su141912193
Zhang Y, Luo H, Chen P, Liu E, Chen Y. Mechanical Properties and Binary-Medium-Based Constitutive Model for Coral-Reef Limestone Samples Subjected to Uniaxial Loading. Sustainability. 2022; 14(19):12193. https://doi.org/10.3390/su141912193
Chicago/Turabian StyleZhang, Yongtao, Huiwu Luo, Peishuai Chen, Enlong Liu, and Yanbin Chen. 2022. "Mechanical Properties and Binary-Medium-Based Constitutive Model for Coral-Reef Limestone Samples Subjected to Uniaxial Loading" Sustainability 14, no. 19: 12193. https://doi.org/10.3390/su141912193