Mechanical Behavior and Damage Constitutive Model of Rock Subjected to Water-Weakening Effect and Uniaxial Loading

The heterogeneous lattice model is presented to simulate the behaviors of concrete, in which the concrete is regarded as random medium and the stochastic damage constitutive model is proposed. The parameters of the stochastic damage constitutive is identified compared with the experiment results of concrete under uniaxial tension and uniaxial compression.

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A Study on the Mechanical Behavior and Statistical Damage Constitutive Model of Mudstone under Low Confining Pressure

IOP Conference Series Earth and Environmental Science ◽

10.1088/1755-1315/455/1/012062 ◽

2020 ◽

Vol 455 ◽

pp. 012062

Author(s):

Kai Chen ◽

Zhenyu Guo ◽

Cunxian Zhu

Keyword(s):

Constitutive Model ◽

Mechanical Behavior ◽

Confining Pressure ◽

Damage Constitutive Model ◽

Statistical Damage Constitutive Model ◽

Statistical Damage

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A Semi-Empirical Elastic-Plastic-Visco-Damage Constitutive Model of Cortical Bone

ASME 2010 Summer Bioengineering Conference, Parts A and B ◽

10.1115/sbc2010-19416 ◽

2010 ◽

Author(s):

Qing Luo ◽

Huijie Leng ◽

Rae Acuna ◽

Xuanliang Dong ◽

Qiguo Rong ◽

...

Keyword(s):

Constitutive Model ◽

Mechanical Behavior ◽

Cortical Bone ◽

Bone Fractures ◽

Constitutive Models ◽

Underlying Mechanism ◽

Yield Behavior ◽

Damage Constitutive Model ◽

Semi Empirical ◽

Further Development

Bone quality can be characterized by toughness of bone which quantifies the energy required for failure. As much of the toughness of bone occurs after yielding, elucidating the underlying mechanism of post-yield behavior of bone is critical for further development of clinical strategies to predict and prevent age and disease related bone fractures. However, the underlying mechanism of the post-yield behavior of cortical bone is so far poorly understood, which makes it difficult to establish physically sound constitutive models for cortical bone that could accurately predict the mechanical behavior of the tissue. The absence of the constitutive equations has significantly hindered the application of bone mechanics in solving biomedical problems. Besides, an accurate constitutive model is always required in numerical modeling and simulating the mechanical behavior of bone under different loading conditions. Based on the experimental results obtained in our lab, the objective of this study was to develop and verify a constitutive model of cortical bone under compression, which accounted for damage accumulation, plastic deformation and viscoelastic properties.

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A Statistical Damage Constitutive Model for Geomaterials under Plane-Strain Biaxial Stress State

Advances in Mathematical Physics ◽

10.1155/2017/3807401 ◽

2017 ◽

Vol 2017 ◽

pp. 1-10 ◽

Cited By ~ 4

Author(s):

Hongwei Zhang ◽

Zhijun Wan ◽

Chaoyi Wang ◽

Zhaoyang Ma ◽

Yuan Zhang ◽

...

Keyword(s):

Stress State ◽

Constitutive Model ◽

Mechanical Behavior ◽

Plane Strain ◽

Biaxial Stress ◽

Statistical Parameters ◽

Biaxial Stress State ◽

Damage Constitutive Model ◽

Statistical Damage Constitutive Model ◽

Statistical Damage

The mechanical behavior of geomaterials under plane-strain biaxial stress state (PSBSS, a special case of biaxial stress state) is often considered in geotechnical structures such as highwall and longwall coal pillars. In this study, a modified statistical damage constitutive model based on Weibull distribution was established to explain the mechanical behavior of rocks under the PSBSS. The modified Wiebols-Cook criterion, Drucker-Prager criterion, and extremum method were adopted in this model to estimate the peak strength of rock, the strength level of microscopic element, and the statistical parameters of model, respectively. Besides, laboratory tests for brittle and ductile geomaterials under PSBSS were conducted using the modified surface instability detection apparatus to validate the accuracy of the proposed statistical damage model. Finally, the relationships between mechanical parameters and statistical parameters were studied and discussed.

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A Creep Damage Constitutive Model for a Rock Mass with Nonpersistent Joints under Uniaxial Compression

Mathematical Problems in Engineering ◽

10.1155/2019/4361458 ◽

2019 ◽

Vol 2019 ◽

pp. 1-11

Author(s):

Shuran Lv ◽

Wanqing Wang ◽

Hongyan Liu

Keyword(s):

Rock Mass ◽

Constitutive Model ◽

Mechanical Behavior ◽

Uniaxial Compression ◽

Damage Model ◽

Creep Damage ◽

Model Parameters ◽

Damage Constitutive Model ◽

Set Up ◽

Creep Damage Model

As part of the rock mass, both the mesoscopic and macroscopic flaws will affect the creep mechanical behavior of the rock mass with nonpersistent joints. This study focuses on this kind of rock mass and establishes a creep damage model to account for the effect of the joint on its creep mechanical behavior. First, on basis of analyzing the rock element creep mechanism and the typical creep deformation curve, a new creep damage constitutive model for the rock element is set up by introducing the damage theory and Kachanov damage evolution law into the classic creep constitutive model such as J body model. Second, the determination method of the proposed model parameters is studied in detail. Third, the calculation method of the macroscopic damage caused by the joint proposed by others is introduced which can consider the joint geometry, strength, and deformation parameters at the same time. Finally, the creep damage model for the rock mass with nonpersistent joints under uniaxial compression is proposed. The calculation examples indicate that it can present the effect of the joint on the rock mass creep mechanical behavior.

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