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A three-dimensional constitutive model for rocks based on a variable elastic modulus
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| Title: | A three-dimensional constitutive model for rocks based on a variable elastic modulus |
| Other Titles: | 可変型弾性係数に基づいた岩石の三次元構成モデル |
| Authors: | LI, Zhaoxin Browse this author |
| Issue Date: | 23-Mar-2023 |
| Publisher: | Hokkaido University |
| Abstract: | No constitutive equations can fully represent true triaxial stress-strain curves considering the effects of intermediate principal stress (σ2), and a realistic curvilinear stress-strain relationship is needed for precise analyses of rock structures. Therefore, this study aims to propose a 3D constitutive model with fewer parameters, realistic stress-strain curves, and convex failure envelopes. Our research group previously proposed a simple two-dimensional (2D) constitutive model for rocks to simulate the axial stress–axial strain relationship and axial stress–lateral strain relationship, with few complicated equations. However, the failure envelope it predicted was linear and did not consider the effect of σ2. This simple 2D model is modified in the present study to have a convex failure criterion. Then, the model is extended to a simple three-dimensional (3D) model that approximates true triaxial stress-strain curves for real rocks under specific values of σ2 and minimum principal stress (σ3) and uses only four parameters. However, the predicted peak stress–σ2 relationship is linear. Finally, a modified 3D model is developed, which exhibits the true triaxial convex failure criterion. The equations in this model are simpler than the conventional true triaxial failure criterion, which cannot represent true triaxial stress-strain curves. A method to represent the axial unloading behavior is also proposed. The proposed models can be implemented with a finite element method (FEM) to improve the design of rock structures. |
| Conffering University: | 北海道大学 |
| Degree Report Number: | 甲第15384号 |
| Degree Level: | 博士 |
| Degree Discipline: | 工学 |
| Examination Committee Members: | (主査) 特任教授 藤井 義明, 教授 石川 達也, 教授 川﨑 了, 准教授 児玉 淳一 |
| Degree Affiliation: | 工学院（環境循環システム専攻） |
| Type: | theses (doctoral) |
| URI: | http://hdl.handle.net/2115/89699 |
| Appears in Collections: | 課程博士 (Doctorate by way of Advanced Course) > 工学院(Graduate School of Engineering)
学位論文 (Theses) > 博士 （工学）
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